Design of normalised and simplified FAs in quantum‐dot cellular automata

Name: Work Video:
Duration: 3 min 30 s
Yongqiang Zhang; Guangjun Xie; Mengbo Sun; Hongjun Lv
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'LinkUse': [288], 'link': [290], 'a': [294, 309, 319, 362, 492, 562, 592, 703, 811, 920, 1038, 1113, 1128, 1130, 1202, 1231, 1251, 1293, 1400, 1410, 1539, 1550, 1575, 1582, 1603, 1612, 1618, 1631, 1655, 1758, 1770, 1957, 1997, 2016, 2089, 2136, 2152, 2263, 2279, 2543, 2561, 2577, 2595, 2686, 2740, 2851, 3292, 3368, 3463, 3882, 3991, 4077, 4082, 4239, 4482, 4570], 'article': [299], 'with': [300, 391, 496, 594, 643, 650, 671, 842, 900, 1090, 1165, 1500, 1506, 1596, 1620, 1673, 1696, 1717, 2028, 2155, 2160, 2165, 2282, 2287, 2292, 2314, 2461, 2612, 2946, 2975, 3005, 3358, 3502, 3522, 3534, 3567, 4183, 4331, 4370], 'your': [301], 'friends': [302], 'colleagues.': [304], 'Learn': [305], 'more.Copy': [306], 'URL': [307], 'Share': [308], 'linkShare': [310], 'onFacebookTwitterLinkedInRedditWechat': [311], 'Abstract': [312], 'Quantum-dot': [313], '(QCA),': [316, 422], 'which': [317, 468, 804, 859, 1072, 1286, 1308, 1610, 2494, 2669, 2762, 3351, 3482, 3576], 'is': [318, 345, 713, 726, 779, 787, 798, 814, 906, 1083, 1111, 1234, 1253, 1309, 1385, 1404, 1409, 1417, 1454, 1480, 1517, 1523, 1530, 1568, 1611, 1684, 1707, 1728, 1790, 1804, 1816, 1874, 1879, 1888, 1894, 1915, 1924, 1964, 2046, 2058, 2076, 2084, 2108, 2321, 2624, 2640, 2647, 2698, 2718, 3263], 'burgeoning': [320], 'technique': [321, 4598], 'at': [322, 467, 504, 854, 877, 2060, 2961, 3012, 3018, 3239, 3245, 3283], 'nanoscale': [323], 'region': [324], 'take': [326, 715, 2244], 'important': [328], 'place': [329, 717, 2246], 'complementary': [331, 964], 'metal–oxide–semiconductor': [332], 'technology,': [333], 'has': [334, 428, 971, 1828, 2651, 2814, 3367, 3526], 'been': [335, 429, 648], 'studied': [336, 996], 'several': [338, 641], 'years.': [339], 'recent': [341], 'primary': [342], 'research': [343, 435], 'emphasis': [344], 'mainly': [346], 'focusing': [347], 'on': [348, 375, 451, 480, 588, 1262, 2715, 3485, 3719, 4212, 4403, 4600], 'circuit': [349, 452, 593, 734, 768, 1117, 1219, 1233, 1238, 1252, 1261, 1274, 1619, 1644, 2253, 2631, 3448, 3465], 'design,': [350, 1151], 'instance,': [352, 676], 'adders': [354, 470, 2120, 2765, 2778, 4401, 4458], '(FAs)': [355, 471], 'multiplexers.': [357], 'authors': [359], 'will': [360, 847, 875, 2121], 'present': [361], 'new': [363, 704, 1039, 1771, 1812, 3964, 3992, 4148, 4240], 'five-input': [364, 677, 888, 1772, 1813, 1848, 2408, 2530, 3523, 4120], 'majority': [365, 589, 609, 652, 678, 720, 781, 796, 812, 820, 889, 918, 1108, 1329, 1767, 1773, 1788, 1814, 1849, 2023, 2409, 2531, 2688, 3524, 3639, 3938, 3989, 4054, 4079, 4121, 4150, 4181, 4214, 4301, 4690], 'gate': [366, 465, 684, 919, 1604, 1768, 1774, 1789, 1815, 1850, 2410, 2532, 3525, 4080, 4085, 4151, 4182, 4215], 'construct': [368], 'FAs.': [369, 723, 2799, 3506], 'Three': [370], 'QCA': [371, 458, 484, 560, 563, 568, 574, 620, 705, 738, 767, 778, 916, 923, 943, 1200, 1218, 1232, 1320, 1402, 1540, 1566, 1763, 1995, 2005, 2133, 2147, 2260, 2274, 2610, 2755, 3319, 3862, 4304, 4329, 4536, 4541, 4666], 'based': [374, 587, 2714, 3484, 3718, 4211, 4402, 4599], 'different': [376, 644, 1745, 2613, 2954, 3486], 'logical': [377, 585, 627, 661, 694, 1855, 1913, 1935, 3487], 'expressions': [378, 662], 'are': [379, 397, 527, 743, 986, 1018, 1057, 1140, 1356, 1372, 1660, 1677, 1700, 1721, 1800, 1869, 1952, 2011, 2216, 2506, 2683, 2758, 2770, 2794, 2949, 3480, 3483, 3497, 3509], 'then': [380, 1809, 3510], 'selected': [381], 'designed,': [383, 399, 3481], 'denoted': [384, 2103, 2203, 3494], 'as': [385, 457, 491, 507, 545, 728, 784, 800, 892, 908, 963, 1189, 1255, 1406, 1519, 1626, 1791, 1862, 1890, 1917, 1943, 1960, 2019, 2104, 2196, 2204, 2626, 2700, 3495], 'NFA1–NFA3,': [386, 2427], 'respectively.': [387, 1638, 1962, 2106, 2208, 2428, 2965], 'To': [388, 1379, 1639, 2167, 2297, 3467], 'conveniently': [389], 'compare': [390], 'existing': [392], 'adders,': [393, 2812], 'three': [394, 595, 607, 1661, 1901, 2503, 2609, 2680, 2694, 2953, 2972, 3475, 3490], 'also': [398, 472, 617, 635, 668, 1096, 1112, 1287, 1739, 1940, 2176, 2514, 3343, 3498, 3577], 'named': [400, 3478], 'SFA1–SFA3.': [401], 'Analysis': [402], 'results': [403, 838, 927, 1034, 2296, 2404, 2425, 2526, 2539, 2555, 2573, 2589], 'indicate': [404, 2471], 'that': [405, 806, 861, 1276, 1331, 1366, 1453, 1483, 1651, 1743, 1896, 1967, 2066, 2110, 2188, 2649, 2711, 2757, 2766, 2793, 2986, 3520, 3541], 'SFA3': [406, 2268, 2293, 2582, 2802, 2925, 2987, 3219, 3309, 3542, 3575], 'presents': [407], 'better': [408, 2652, 3544], 'performance': [409, 1304], 'some': [411, 3550, 4184], 'extent.': [412], '1': [413, 511, 549, 1425, 2085, 2320, 2855, 2857, 2858, 2861, 2864, 2869, 2875, 2881, 2885, 2888, 2891, 2893, 2894, 2909, 2917, 2918, 2923, 2924, 2927, 2930, 3844, 4100], 'Introduction': [414], 'Since': [415, 2679], 'presence': [417], 'theory': [424], 'domain': [427, 621], 'developed': [430], 'rapidly': [431], 'including': [432], 'pure': [434], 'experimental': [437], 'verification': [438], 'practicability': [441], 'technology.': [444, 739], 'In': [445, 639, 1318, 2231, 2604, 3249], 'theoretical': [446], 'area,': [447, 1239, 3324], 'most': [448], 'studies': [449], 'focus': [450], 'design': [453, 702, 735, 769, 904, 1368, 1853, 2177, 2194, 2785, 3449, 3513, 3691, 3750, 3906, 4051, 4075, 4086, 4174, 4207, 4326, 4369, 4425, 4452, 4484, 4511], 'simulation': [455, 756, 837, 1172, 2403, 2424, 2486, 3452, 4486], 'such': [456, 962], 'basic': [459], 'logic': [460, 533, 540, 571, 577, 673, 1784, 2614, 2621, 3640, 3748, 3939, 4330, 4368, 4629, 4636], 'unit': [461, 3749], 'field': [463], 'programmable': [464, 4328], 'array,': [466], 'dominate,': [473], 'while': [474, 968], 'physical': [476, 1227, 1351, 2752, 3314, 4185], 'realisation': [477], 'mostly': [478], 'focuses': [479], 'demonstration': [482], 'cells.': [485, 1081], 'cell': [487, 561, 564, 569, 575, 845, 853, 867, 880, 1134, 1138, 1148, 1178, 1214, 1240, 1246, 1336, 1403, 1567, 2052, 2225, 2338, 2848, 3325, 3333, 3346, 3378, 3585, 4603], 'can': [488, 667, 945, 953, 1095, 1186, 1346, 1464, 1543, 1833, 1859, 1939, 2063, 2983, 3352], 'be': [489, 669, 946, 955, 1077, 1097, 1154, 1187, 1348, 1465, 1647, 1776, 1834, 1860, 1941, 1972, 2064, 2984, 3353], 'seen': [490, 1169, 2065, 2985, 3354], 'square': [493], 'charge': [494], 'container': [495], 'two': [497, 524, 612, 940, 987, 1054, 1667, 1671, 1694, 1715, 1904, 2044, 2047, 2059, 2118, 2220, 2431, 2723], 'free': [498], 'electrons': [499, 519, 938], 'four': [501, 2100], 'dots': [502], 'located': [503], 'each': [505, 935, 1565, 2022, 2228, 2447, 3267, 3349], 'corner': [506, 2241], 'shown': [508, 546, 788, 1190, 1627, 2197, 2507, 2641, 2701, 2950], 'Fig.': [510, 555, 790, 829, 832, 911, 1126, 1192, 1195, 1629, 1634, 1752, 1819, 1842, 1988, 2128, 2142, 2255, 2269, 2398, 2412, 2420, 2436, 2482, 2509, 2520, 2533, 2549, 2567, 2583, 2605, 2643, 2659, 2703, 2725, 3022, 3038, 3054, 3229, 3273], 'a.': [512, 792, 2645], 'Owing': [513], 'Coulomb': [516, 1067], 'interaction': [517, 933, 1068, 4405], 'between': [518, 934, 1044, 1069, 1167, 1432, 2043, 2117, 2219], 'attaining': [520], 'lowest': [521], 'electrostatic': [522, 932], 'potential,': [523], 'polarisation': [525, 1185], 'patterns': [526], 'used': [528, 1835, 3511], 'encode': [530], 'binary': [531], 'information,': [532], "'1'": [534, 572], '(P': [535, 542, 1435, 1440, 1451], '=': [536, 543, 1473], '+': [537], '1)': [538], "'0'": [541, 578], '−1),': [544], 'Figs.': [548, 1955, 2014, 2087, 2199, 2966], 'b': [550, 567, 922, 1210, 1636, 1760, 1999, 2138, 2157, 2265, 2284, 2545, 2563, 2579, 2597, 2661, 2743], 'c,': [552], 'respectively': [553, 2038], '[1].': [554, 1125], '1Open': [556], 'figure': [558, 914, 1198, 1268, 1755, 1845, 1991, 2131, 2145, 2258, 2272, 2523, 2536, 2552, 2570, 2586, 2728, 3025, 3041, 3057, 3276], 'viewerPowerPoint': [559, 915, 1199, 1756, 1846, 1992, 2132, 2146, 2259, 2273, 2524, 2537, 2553, 2571, 2587, 2729, 3026, 3042, 3058, 3277], 'representing': [565, 570, 576, 1504], 'NULL': [566], 'c': [573, 834, 925, 1472, 2001, 2140, 2162, 2267, 2289, 2547, 2565, 2581, 2599, 2745], 'A': [579, 1135], 'method': [580, 1563, 1576, 3637], 'get': [582, 1779, 2797], 'optimal': [584, 2798, 4206], 'expression': [586, 628, 695, 1914], 'voter': [590, 721, 773, 782, 797, 813, 841, 890, 1330], 'inputs': [596, 823, 1622, 1801, 2767], 'was': [597, 614, 634, 3591], 'presented': [598, 1562, 1889, 1916], '[2].': [599, 1892], 'Adopting': [600], 'means,': [602], 'an': [603, 1591, 1780, 3859], 'FA': [604, 633, 706, 1858, 1898, 2713, 2742, 3268], 'consisting': [605, 1003], 'three-input': [608, 651, 681, 719, 780, 917, 2687], 'voters': [610, 653, 679], 'inverters': [613, 655, 1201, 1905], 'obtained': [615, 1466], 'implemented': [618, 649, 2097, 2154, 2159, 2164, 2281, 2286, 2291, 3611], 'one': [623, 698, 872, 949, 1176, 1208, 1212, 1306, 1319, 1468, 1749, 1927, 1931, 2055, 2452, 2457, 2517], 'layer.': [624, 950], 'With': [625, 657, 930, 1534, 1882, 1930, 2706], 'FA,': [630], 'three-layer': [632], 'designed': [636, 670, 752, 1777, 2303, 3357], '[3,': [637], '4].': [638], 'addition,': [640], 'layouts': [645, 2010], 'only': [647, 1829], '[5-13].': [656], 'varieties': [659], 'FAs,': [664, 2102, 3493], 'circuits': [666, 944, 952, 1595, 2302, 2329, 2432, 3007, 4020, 4118, 4299], 'other': [672, 1025, 2722, 2811, 3547], 'units,': [674, 2615], '[14-27],': [680], 'exclusive-OR': [682], '(TIEO)': [683], '[28]': [685, 2827, 2877, 3139], 'exclusive': [687, 4363], 'OR': [688, 4364], 'gates': [689, 1672, 1695, 1716, 4637, 4691], '[29].': [690], 'Pudi': [691], 'optimised': [692], 'reduce': [697], 'inverter': [699, 1110, 1928, 2025], '[30].': [707, 1919], 'principle': [709, 905, 1086], 'these': [711, 1070, 1080, 2009, 2299, 3237, 3470], 'methods': [712, 742, 1221, 3455, 3473], 'This': [724, 1093, 1267, 3589], 'paper': [725, 762], 'organised': [727], 'follows:': [729], 'Section': [730, 746, 748, 764], '2': [731, 766, 791, 830, 833, 1446, 2749, 2870, 2876, 2882, 2899, 2900, 2905, 2906, 2911, 2912], 'provides': [732], 'guidelines': [736, 770, 2195, 2783, 3450, 3471], 'about': [737, 1283], 'analytical': [741], 'provided': [744], '3.': [747, 910, 3070], '4': [749, 1630, 1635, 1762, 2093, 2148, 2184, 2235, 2275, 2465, 2557, 2591, 3311, 3317, 3385, 3514], 'illustrates': [750, 835, 1129, 2400, 2662], 'results.': [757, 1173, 2981], 'Finally,': [758], 'we': [759, 1542, 2175, 2238, 2607, 3445], 'conclude': [760], '5.': [765], '2.1': [771], 'Majority': [772], 'primitive': [775], 'device': [776, 852, 866, 879, 2736, 3993], '(denoted': [783, 891], 'M': [785, 893, 909, 1883, 1932, 2030, 2033, 2716], '3)': [786], 'functionality': [794], 'represented': [799], 'Boolean': [801, 2620], 'function': [802, 1502, 1785, 1856, 1936], ',': [803, 1808], 'means': [805, 860, 958, 1073], 'output': [808, 885, 1137, 1147, 1180, 1216, 1338, 1439, 1805], 'F': [809, 846, 1139, 1803], 'equal': [815, 2675, 2699], 'value': [818], 'A,': [824, 1794, 1865], 'B': [825, 1529, 1866], 'C': [827, 1822, 1868, 1872, 1970, 2415, 2695, 2746], 'b.': [831, 1194], 'QCADesigner.': [843], 'receive': [848], 'signal': [850, 874, 1075, 1124, 1316, 1332], 'from': [851, 1170, 1334, 1606, 2212, 3338, 3355], 'centre': [856], 'voter,': [858, 1109, 2024, 2689], 'input': [863, 873, 1123, 1335, 1434, 1746, 1870, 1969], 'signals': [864], 'arriving': [865], 'should': [868, 1775, 1971], 'keep': [869], 'synchronous,': [870], 'or': [871, 1297, 2032, 2768], 'arrive': [876], 'preferentially,': [881], 'resulting': [882, 2787, 3361], 'erroneous': [884], 'values.': [886], '5)': [894], 'plays': [895], 'same': [897, 907, 1143], 'role,': [898], 'but': [899, 2813], 'five': [901], 'inputs.': [902], '2Open': [912], 'Diagram': [921], 'layout': [924], 'Simulation': [926, 2295, 2525, 2538, 2554, 2572, 2588], '2.2': [928], 'Crossover': [929, 1759], 'pair': [936, 2449, 2460, 2513], 'within': [939], 'cells,': [941, 1016, 1029, 1071], 'integrated': [947, 966], 'These': [951, 3507], 'definitely': [954], 'built': [956], 'multilayered': [960], 'approach': [961, 3742, 4361], 'metal–oxide–semiconductor-based': [965], 'circuits,': [967, 2786], 'structure': [970, 3529, 3940], 'not': [972, 1065, 1653, 2190], 'yet': [973], 'achieved': [974, 2980], 'noise': [977, 1022], 'problem': [978], 'exists': [979], '[31,': [980], '32].': [981], 'Up': [982], 'now': [984], 'there': [985, 1063, 3262], 'kinds': [988], 'techniques': [990], 'implement': [992, 1981], 'one-layer': [993, 1284, 1367], 'crossover.': [994], 'Kim': [995], 'robustness': [998, 2676], 'simple': [1000, 1131], 'wire': [1001, 4359], 'crossover': [1002, 1089, 1094, 1345, 1632, 2027], 'normal': [1005, 1028, 1370], 'cells': [1006, 1009, 1026, 1051, 1056, 1168, 1204, 1282, 1355, 1371, 1559, 1831, 2048, 2790, 2808, 2846, 3255, 3271], 'rotated': [1008, 1010, 1015, 1354], '45°': [1012], '[33].': [1013], 'however,': [1017, 1152], 'sensitive': [1020], 'casted': [1023], 'than': [1027, 1237, 2476, 2654, 2721, 2791, 2809, 2817, 3530, 3546], 'easily': [1030, 1357], 'leading': [1031, 1361], 'fault': [1033, 1363], '[34].': [1035], 'Shin': [1036], 'proposed': [1037, 2328, 2407, 2443, 2529, 2795, 2801, 3499], 'wire-crossing': [1040, 4597], 'using': [1041, 1388, 3612, 4076, 4119, 4539, 4573], 'relation': [1043], 'hold': [1045], 'relax': [1047], 'phases': [1048], 'clocked': [1050], '[35].': [1052], 'If': [1053, 1807], 'adjacent': [1055, 2119], 'placed': [1058, 1141, 1973], 'clock0': [1060], 'clock2,': [1062], 'does': [1064, 2189], 'exist': [1066], 'cannot': [1076, 1153], 'propagated': [1078], 'That': [1082], 'main': [1085, 2210], 'coplanar': [1088, 1840, 2760, 4217], 'clocking': [1091, 4333], 'mechanism.': [1092], 'realised': [1098], 'clock1': [1100], 'clock3': [1102], 'pair.': [1103, 2454, 2519], '2.3': [1104], 'Inverter': [1105], 'Besides': [1106], 'key': [1114], 'element': [1115], 'realise': [1119], 'converse': [1121], '3': [1127, 1193, 1217, 2031], 'inverter.': [1132], 'Input': [1133], 'clock': [1144, 1209, 1298, 1469, 2056, 2113, 2229, 2368, 2374, 2380, 2385, 2474, 2480, 2852], 'zone.': [1145, 2230], 'fully': [1155], 'saturated': [1156], 'due': [1157], 'rapid': [1160, 4483], 'decay': [1161], 'kink': [1163], 'energy': [1164, 1414, 1495, 2944, 2956, 2973, 3001, 3015, 3029, 3036, 3045, 3052, 3060, 3067, 3077, 3082, 3087, 3242, 3259, 3286, 3564], 'distance': [1166], 'its': [1171, 1607], 'By': [1174, 1907], 'adding': [1175], 'before': [1179, 1215], 'cell,': [1181, 1541], 'amplitude': [1183, 2386], 'strengthened': [1188], '3Open': [1196], 'Two': [1203], 'positioned': [1205], 'diagonally': [1206], 'Adding': [1211], 'evaluation': [1220, 3454, 3857], '3.1': [1222], 'Physical': [1223, 2833, 3382], 'properties': [1224, 1228, 2753, 2834, 3315, 3383, 3545], 'apparent': [1226], 'evaluate': [1230], 'nothing': [1235], 'count,': [1241], 'latency,': [1242, 3371], 'layer': [1243, 2389, 4358, 4397], 'count': [1244, 2053, 2226, 2849, 3326, 3334, 3347, 3392], 'types.': [1247], 'area': [1249, 1258, 2805, 3331, 3375, 3583], 'defined': [1254], 'rectangular': [1257], 'occupied': [1259], 'Cartesian': [1264], 'plane': [1265], '[36].': [1266], 'merit': [1270], 'directly': [1271], 'reflects': [1272], 'size': [1275, 2339], 'may': [1277], 'relate': [1278], 'number': [1280, 1327, 2353], 'circuit,': [1285, 1321, 1584], 'decides': [1288], 'manufacturing': [1290], 'cost': [1291], 'die.': [1294], 'latency': [1296, 1323, 2081, 2816], 'frequency': [1299], 'often': [1300], 'accounts': [1301], 'system,': [1307], 'decided': [1310], 'longest': [1313], 'path': [1314], 'propagated.': [1317], 'relates': [1324], 'experienced': [1333], 'cell.': [1339], 'As': [1340, 1574, 2775, 2931], 'mentioned': [1341], 'earlier,': [1342], 'multi-layer': [1344, 1838], 'hardly': [1347], 'approached': [1349], 'model.': [1352], 'affected': [1358], 'noise,': [1360], 'results,': [1364], 'so': [1365, 2690], 'best': [1374], 'choices.': [1375], '3.2': [1376], 'Power': [1377, 3071, 3278, 3758, 4279, 4376], 'dissipation': [1378, 1384, 1463, 1513, 1537, 1548, 3002, 3030, 3046, 3061, 3072, 3234, 3279, 3565, 4664], 'characterise': [1380], 'maximum': [1382, 2393], 'power': [1383, 1398, 1433, 1438, 1450, 1462, 1512, 1536, 1547, 1556, 3233, 4663], 'meaningful': [1386], 'sharp': [1389], 'transitions': [1390], 'clocks.': [1392, 2830], 'equation': [1394, 1428], 'instantaneous': [1396], 'total': [1397, 1546], 'single': [1401, 4357, 4396], 'written': [1405], '(1)': [1407], 'where': [1408, 1521, 1793, 1821, 1864, 2414, 2446], 'real': [1411], 'three-dimensional': [1412], '(3D)': [1413], 'vector': [1415], 'coherence': [1419], 'vector.': [1420], 'first': [1422, 3579], 'term': [1423, 1444], 'P': [1424, 1445], 'above': [1427, 2627, 2707], 'represents': [1429], 'difference': [1431, 4601], 'in)': [1436], 'out).': [1441], 'second': [1443], 'gives': [1447], 'dissipated': [1449, 1555], 'diss)': [1452], 'exactly': [1455], 'concern.': [1457], 'worst': [1459], 'case': [1460], 'during': [1467], 'cycle': [1470], 'T': [1471, 1476, 1522], '[−T': [1474], 'D,': [1475], 'D]': [1477], '(2)': [1478], 'It': [1479, 1827, 1893, 1963, 2062, 2107, 2646, 2982], 'worth': [1481, 1965], 'noting': [1482, 1966], 'greater': [1485], 'changing': [1487], 'rate': [1488, 1499], 'is,': [1490], 'larger': [1492, 3330], 'amount': [1493], 'dissipates.': [1496, 3260], 'Modelling': [1497], 'δ': [1501], '.': [1508], 'upper': [1510, 4660], 'bound': [1511, 4661], 'model': [1514], '[37]': [1516], 'given': [1518], '(3)': [1520], 'Kelvin': [1525], 'temperature': [1526, 3291], 'k': [1528], 'Boltzmann': [1532], 'constant.': [1533], 'calculate': [1544], 'system': [1551], 'accumulating': [1553], 'all': [1558, 2759, 2810], 'because': [1560], 'identical.': [1569], '3.3': [1570], 'Probabilistic': [1571], 'transfer': [1572, 1587], 'matrix': [1573, 1588, 1601, 1616], 'computing': [1578], 'reliability': [1580, 2653, 2692, 3936, 4688], 'combinational': [1583], 'probabilistic': [1586, 1597], '(PTM)': [1589], 'forms': [1590], 'algebra': [1592], 'represent': [1594], 'failure': [1598, 2637, 2666, 2732, 2739], 'gates.': [1599], 'stems': [1605], 'truth': [1608], 'table,': [1609], '2m': [1613], '×': [1614, 2342, 2371, 2377, 2383], '2n': [1615], 'm': [1621], 'n': [1624, 1978, 1982], 'outputs': [1625, 2734, 2769], 'fanout,': [1637, 1724], 'generate': [1640], 'PTM,': [1642], 'calculated': [1645, 1729], 'must': [1646], 'divided': [1648], 'into': [1649], 'subcircuits': [1650], 'do': [1652], 'series': [1656], 'components.': [1658], 'There': [1659], 'connecting': [1662], 'modes': [1663], 'connection': [1665], 'components:': [1668], 'parallel,': [1669, 1680], 'if': [1670, 1693, 1714], 'PTM1': [1674, 1689, 1697, 1711, 1718, 1735], 'PTM2': [1676, 1699, 1720, 1737], 'connected': [1678, 1701, 1722], 'combined': [1682, 1705, 1726], 'PTM': [1683, 1706, 1727, 1757, 2623], 'tensor': [1686, 1732], 'product': [1687, 1709, 1733], 'PTM2;': [1691, 1713], 'series,': [1692, 1703], 'eliminating': [1740], 'rows': [1742], 'values': [1747], 'fanout': [1750], '[38].': [1751], '4Open': [1753], 'Fanout': [1761], '4.1': [1765], 'Five-input': [1766], 'Primo,': [1769, 3441], 'outstanding': [1781], 'FA.': [1782], '(4),': [1792, 3651, 3762, 4098, 4161, 4582, 4615], 'B,': [1795], 'C,': [1796, 2037], 'D': [1797], 'E': [1799], '(4)': [1806], '(5)': [1810], 'illustrated': [1817, 1953], '5,': [1820, 1933, 2034, 2413], 'o': [1823, 1873, 2416, 2696, 2747], 'undertakes': [1824, 2417], 'two-fold': [1825, 2418], 'weights.': [1826, 2419], 'nine': [1830], 'both': [1837, 2430, 2655], 'circuits.': [1841, 2774], '5Open': [1843], 'Proposed': [1847, 3303], '4.2': [1851], 'described': [1861, 1942], '(6),': [1863, 3701, 3842, 3869, 4251, 4310], 'signals,': [1871], 'carried': [1875], 'out': [1876], 'S': [1878, 2071, 2744], 'sum': [1880, 1886, 1938, 2070, 4365], '(6)': [1881], '3,': [1884, 2935, 3650, 4496], 'formula': [1887], '(7)': [1891, 1906], 'clear': [1895, 2109, 2648], 'consists': [1899], 'M3': [1902], 'reformation': [1909], 'formula,': [1911], 'another': [1912], '(8)': [1918, 1929], 'Compared': [1920], '(7),': [1922, 4439, 4521], 'it': [1923, 2709, 3372], 'reduced': [1925, 3553], '(9)': [1944, 1945], 'schematics': [1947], '(7)–(9)': [1951], '6': [1956, 3587], '–c,': [1958, 2017], 'marked': [1959], 'FA1–FA3,': [1961, 2616], 'facilitate': [1975], 'cascade': [1976], '-bit': [1983], 'carry': [1984, 2681, 4455], 'flow': [1985], 'adder': [1986, 2818, 2825, 3745, 3777, 3805, 3885, 3909, 4019, 4210, 4296, 4537], '(CFA).': [1987], '6Open': [1989], 'Schematics': [1993], 'FA1': [1998, 2656, 3531], 'FA2': [2000, 2671], 'FA3': [2002, 2650, 2673, 3521], 'corresponding': [2004, 2101, 2179, 2504, 2617, 3491], 'displayed': [2012, 2608, 2932], '7': [2015, 3603, 3950], 'shortened': [2018], 'NFA1–NFA3.': [2020], 'Noting': [2021], 'characters': [2029], 'I': [2035], '(similarly': [2039], 'hereinafter).': [2040], 'spacing': [2042, 2218, 2350], 'wires': [2045, 2221, 3341], 'width': [2049], 'zone': [2057, 2114, 2475], 'least.': [2061], 'delay': [2068], 'NFA1': [2073, 2137, 2156, 2544, 2895, 3169], 'NFA2': [2075, 2139, 2161, 2546, 2901, 3179], '1.25': [2077, 2873, 2897, 2903, 2915, 2921], 'clocks,': [2078], 'whereas': [2079], 'NFA3': [2083, 2141, 2166, 2548, 2907, 3189], 'clock.': [2086], '8': [2088, 4414], '–c': [2090], 'show': [2091, 2670], 'bit': [2094, 2149, 2185, 2236, 2276, 2466, 2558, 2592, 3318, 3369, 3386, 3515], 'CFAs': [2096, 2151, 2186, 2278, 2560, 2594, 3320, 3387, 3388], 'cascading': [2099], 'NCFA–NCFA3,': [2105], 'additional': [2112], 'junction': [2116], 'ensure': [2122], 'correctness': [2124, 2491], 'transmission': [2126], 'signal.': [2127], '7Open': [2129], '8Open': [2143], 'NCFA1': [2153, 2477, 2562, 2596, 3415], 'NCFA2': [2158, 2467, 2564, 2598, 3419], 'NCFA3': [2163, 2469, 2566, 3423], 'cater': [2168], 'previous': [2171, 2947, 3505], 'work': [2172, 3590], 'others,': [2174], '(SFA1–SFA3)': [2182], '(SCFA1–SCFA3)': [2187], 'conform': [2191, 2780], 'aforementioned': [2193, 2782], '9': [2200, 4102], '10,': [2202, 4379], 'SFAs': [2205, 2215], 'SCFAs,': [2207, 2237], 'differences': [2211], 'NFAs': [2213, 3503], 'minimal': [2224, 3345], 'wiring': [2233], 'employ': [2239], 'line': [2242, 2249], 'straight': [2248, 3339], 'save': [2251], 'area.': [2254, 3364], '9Open': [2256], 'SFA1': [2264, 2283, 2578, 2913, 3199], 'SFA2': [2266, 2288, 2580, 2919, 3209], '10Open': [2270], 'SCFA1': [2280, 3427], 'SCFA2': [2285, 3431], 'SCFA3': [2290, 3366, 3435, 3572], '4.3': [2294], 'authenticate': [2298], 'devices': [2300, 3610], 'paper,': [2306, 3444], 'bistable': [2307], 'approximation': [2308, 2334], 'engine': [2309], 'QCADesigner': [2311], '2.0.3': [2313], 'parameters': [2316, 2335], 'summarised': [2317], 'Table': [2319, 2331, 2748, 2831, 2934, 3069, 3310, 3380], 'employed': [2322], 'verify': [2324], 'functionalities': [2326], '[31].': [2330], '1.': [2332], 'Bistable': [2333], 'Parameter': [2336], 'Value': [2337], '18.0': [2340, 2343], 'nm': [2341, 2344, 2348, 2352, 2364, 2392], 'dot': [2345, 3753, 4090, 4177], 'diameter': [2346], '5.0000': [2347], 'cell-to-cell': [2349], '2.0': [2351, 2962, 3019, 3246, 3289], 'samples': [2355], '102,400': [2356], 'convergence': [2357], 'tolerance': [2358], '0.00001': [2359], 'radius': [2360], 'effect': [2362], '41.00000': [2363], 'relative': [2365], 'permittivity': [2366], '12.900000': [2367], 'high': [2369], '9.800000': [2370], '10−022': [2372], 'J': [2373, 2379], 'low': [2375, 4270], '3.800000': [2376], '10−023': [2378], 'shift': [2381], '0.000000': [2382], '100': [2384], 'factor': [2387], '2.000000': [2388], 'separation': [2390], '11.500000': [2391], 'iterations': [2394], 'per': [2395], 'sample': [2396], '10,000': [2397], '11': [2399], 'correct': [2402, 2434, 2440], '12': [2421], 'shows': [2422, 2710, 3231, 3519], 'Apparently,': [2429], 'perform': [2433], 'functions.': [2435], '13': [2437], 'displays': [2438], 'waveforms': [2441, 2487, 2501], 'NCFA1–NCFA3,': [2444], 'respectively,': [2445, 3011], 'colour': [2448, 2463, 2512], 'corresponds': [2450, 2515], 'input/output': [2453, 2459, 2518, 3340], 'We': [2455], 'add': [2456], 'red': [2462], 'less': [2473, 2807], '0.75': [2479, 2867], 'zones.': [2481], '14': [2483], 'depicts': [2484], 'test': [2489, 4627], 'SFA1–SFA3,': [2493, 3496], 'explains': [2495], 'rationality': [2497], 'SFAs.': [2499], 'SCFAs': [2505, 3356], '15.': [2510], '11Open': [2521], '12Open': [2534], 'Fas': [2542], '13Open': [2550], '14Open': [2568], '15Open': [2584], 'NCFA': [2600], '4.4': [2601], 'Performance': [2602], 'comparison': [2603, 3004], '6,': [2606, 3675], 'various': [2619, 3034, 3050, 3065], 'expressions.': [2622, 3488], 'used,': [2625], 'mentioned,': [2628], 'analyse': [2630], 'reliability.': [2632], 'overall': [2634], 'probability': [2635, 2664, 2737], '16': [2644, 2660, 2704], 'FA2.': [2658], 'S,': [2668], 'S.': [2678, 3960, 4043, 4110, 4263], 'outs': [2682], 'generated': [2684], 's': [2697], 'c.': [2705], 'analysis,': [2708], '5': [2717, 3439, 3846], 'robust': [2720, 3528, 4356, 4535], 'adders.': [2724], '16Open': [2726], 'Probability': [2730], 'versus': [2735], 'Overall': [2741], 'lists': [2750], 'structures,': [2761], 'exclude': [2763], 'surrounded': [2771], 'noted': [2776], 'before,': [2777], 'NFA1–NFA3': [2779, 3479], 'SFA1–SFA3': [2792], 'gets': [2803, 3373], 'smaller': [2804, 3363], '[25]': [2820, 2865, 3119, 3399], '0.25': [2822], 'clocks': [2823, 2841, 3394], '0.5': [2829, 2863, 2879, 2887], '2.': [2832], 'Area,': [2838, 3389], 'μm2': [2839, 3390], 'Latency,': [2840, 3393], 'Cell': [2842, 3391], 'count/type': [2843], 'Minimal': [2844, 2847], 'spacing,': [2845], '[7]': [2853, 3099, 3395], '0.0432': [2854], '59/normal': [2856], '[22]': [2859, 3109], '0.0468': [2860], '49/normal': [2862], '0.0504': [2866], '64/rotated': [2868], '[27]': [2871, 3129, 3403], '0.0952': [2872], '95/normal': [2874], '0.0396': [2878], '41/rotated': [2880], '[29]': [2883, 3149, 3407], '0.0840': [2884], '59/rotated': [2886], '[13]': [2889, 3159, 3411], '0.0792': [2890], '87/rotated': [2892], '0.0784': [2896], '77/normal': [2898], '0.0676': [2902], '66/normal': [2904], '0.0572': [2908], '60/normal': [2910], '0.0480': [2914], '56/normal': [2916], '0.0288': [2920, 2926], '39/normal': [2922], '35/normal': [2928], '0': [2929], 'comparisons': [2937], 'average': [2939, 3000, 3563], 'energy,': [2940, 2942], 'leakage': [2941, 3044, 3081], 'switching': [2943, 3028, 3086], 'dissipations': [2945, 2974], 'works': [2948], 'considering': [2952], 'tunnelling': [2955, 3014, 3035, 3051, 3066, 3241, 3285], 'levels': [2957, 3037, 3053, 3068], '(0.5Ek,': [2958], 'Ek,': [2959], '1.5Ek)': [2960], 'K': [2963, 3020, 3247, 3290], 'temperature,': [2964], '19-17': [2967], 'illustrate': [2968], 'considerable': [2969], 'optimisation': [2970], 'bar': [2976], 'graph': [2977], 'according': [2978], 'leads': [2988], 'almost': [2990], '46.4,': [2991, 3555], '19.4,': [2992, 3556], '34.6,': [2993, 3557], '40.5,': [2994, 3558], '60.5': [2995, 3559], '69.1%': [2997, 3561], 'improvements': [2998], 'listed': [3009], 'references,': [3010], '0.5Ek': [3013, 3090, 3093, 3096, 3240, 3284], 'level': [3016, 3243, 3287], 'temperature.': [3021, 3248], '19Open': [3023], 'Average': [3027, 3043, 3059, 3076, 3080, 3085], '18Open': [3039], '17Open': [3055], 'dissipation,': [3078, 3083, 3088], 'meV': [3079, 3084, 3089], 'Ek': [3091, 3094, 3097], '1.5Ek': [3092, 3095, 3098], '120.97': [3100], '142.49': [3101], '171.08': [3102], '16.52': [3103], '51.37': [3104], '93.04': [3105], '104.45': [3106], '91.12': [3107], '78.04': [3108], '80.49': [3110], '101.54': [3111], '127.79': [3112], '16.98': [3113], '48.47': [3114], '83.66': [3115], '63.51': [3116], '53.07': [3117], '44.13': [3118], '99.19': [3120], '149.40': [3121], '207.34': [3122], '37.21': [3123], '98.50': [3124], '165.04': [3125], '61.97': [3126], '50.90': [3127], '42.31': [3128], '187.37': [3130], '224.96': [3131], '273.60': [3132], '27.69': [3133], '84.08': [3134], '151.39': [3135], '159.68': [3136], '140.88': [3137], '122.21': [3138], '108.90': [3140], '132.75': [3141], '163.07': [3142], '19.11': [3143], '55.42': [3144], '97.45': [3145], '89.80': [3146], '77.33': [3147], '65.62': [3148], '163.98': [3150], '210.40': [3151], '266.99': [3152], '35.80': [3153], '101.22': [3154], '174.99': [3155], '128.18': [3156], '109.18': [3157], '91.99': [3158], '209.73': [3160], '266.29': [3161], '337.18': [3162], '42.21': [3163], '123.79': [3164], '217.51': [3165], '167.52': [3166], '142.50': [3167], '119.66': [3168], '143.29': [3170], '173.98': [3171], '213.84': [3172], '24.03': [3173], '72.33': [3174], '128.69': [3175], '119.26': [3176], '101.65': [3177], '85.14': [3178], '110.64': [3180], '139.37': [3181], '175.17': [3182], '23.34': [3183], '66.04': [3184], '114.20': [3185], '87.30': [3186], '73.33': [3187], '60.97': [3188], '98.54': [3190], '124.86': [3191], '157.54': [3192], '20.88': [3193], '59.71': [3194], '103.37': [3195], '77.67': [3196], '65.14': [3197], '54.17': [3198], '101.44': [3200], '123.83': [3201], '152.67': [3202], '17.62': [3203], '52.53': [3204], '92.88': [3205], '83.82': [3206], '71.30': [3207], '59.79': [3208], '54.65': [3210], '72.84': [3211], '94.67': [3212], '15.21': [3213], '40.92': [3214], '68.72': [3215], '39.43': [3216], '31.92': [3217], '25.94': [3218], '64.85': [3220], '78.36': [3221], '95.63': [3222], '10.66': [3223], '31.57': [3224], '55.44': [3225], '54.19': [3226], '46.79': [3227], '40.18': [3228], '20': [3230], 'maps': [3235, 3280], 'figure,': [3251], 'darker': [3253], 'are,': [3256], 'Yet,': [3261], 'no': [3264], 'relevance': [3265], 'colour.': [3272], '20Open': [3274], '–g': [3293], '[7,': [3296], '22,': [3297], '25,': [3298], '27-29,': [3299], '13]': [3300], 'h': [3301], '–m': [3302], 'NFA1,': [3304], 'NFA2,': [3305], 'NFA3,': [3306], 'SFA1,': [3307], 'SFA2,': [3308], 'summarises': [3312], 'terms': [3322, 3581], 'latency.': [3328], 'NCFAs': [3336], 'derive': [3337], 'clock,': [3350], 'bent': [3359], 'wires,': [3360], 'Although': [3365], 'smallest': [3374], 'least': [3377], 'count.': [3379, 3586], '4.': [3381], '0.2080': [3396], '262': [3397], '1.75': [3398, 3414], '0.3000': [3400], '295': [3401], '1.50': [3402], '0.4012': [3404], '401': [3405], '4.25': [3406, 3418, 3430], '0.8442': [3408], '527': [3409], '4.00': [3410], '0.3948': [3412], '373': [3413], '0.8732': [3416], '465': [3417], '0.6784': [3420], '390': [3421], '3.50': [3422], '0.6360': [3424], '364': [3425], '3.25': [3426], '0.3468': [3428], '309': [3429], '0.1628': [3432], '201': [3433, 4647], '2.75': [3434], '0.1586': [3436], '185': [3437], '2.50': [3438], 'Conclusions': [3440], 'detailed': [3446], 'restrict': [3457], 'building': [3459, 4542], 'block': [3460], 'constructing': [3462], 'system.': [3466], 'explain': [3468], 'how': [3469], 'work,': [3474], 'Moreover,': [3489], 'compared': [3501, 3566], 'CFAs.': [3516], 'Reliability': [3517], 'analysis': [3518, 3537, 4146], 'FA2,': [3533], 'PTM.': [3535], 'demonstrates': [3540], 'reaches': [3543], 'respects,': [3551], 'i.e.': [3552], 'schemes': [3568], 'references.': [3570], 'consisted': [3573], 'ranks': [3578], 'Acknowledgment': [3588], 'supported': [3592], 'National': [3595], 'Natural': [3596], 'Foundation': [3598], 'China': [3600], '(no.': [3601], '61271122).': [3602], 'References': [3604], '1Tougaw': [3605], 'P.D.,': [3606], 'Lent': [3607], 'C.S.:': [3608], "'Logical": [3609], 'quantum': [3613, 3643, 3752, 4089, 4176], "automata',": [3615, 3645, 3670, 3695, 3722, 3755, 3811, 3944, 3997, 4024, 4155, 4220, 4246, 4373, 4432, 4491, 4516, 4576, 4608], 'J.': [3616, 3756, 3813, 3998, 4025, 4056, 4094, 4123, 4156, 4187, 4277, 4335, 4374, 4408, 4433, 4610, 4641], 'Appl.': [3617], 'Phys.,': [3618], '1994,': [3619], '75,': [3620], '(3),': [3621, 3676, 3790, 4061, 4645], 'pp.': [3622, 3652, 3677, 3702, 3728, 3763, 3791, 3820, 3843, 3870, 3892, 3920, 3949, 3974, 4005, 4032, 4062, 4099, 4130, 4162, 4193, 4225, 4252, 4284, 4311, 4341, 4381, 4413, 4440, 4467, 4498, 4522, 4554, 4583, 4616, 4646, 4674, 4700], '1818': [3623], '–': [3624, 3654, 3679, 3704, 3730, 3765, 3793, 3822, 3845, 3872, 3894, 3922, 3951, 3976, 4007, 4034, 4064, 4101, 4132, 4164, 4195, 4227, 4254, 4286, 4313, 4343, 4383, 4415, 4442, 4469, 4500, 4524, 4556, 4585, 4618, 4648, 4676, 4702], '1825': [3625], '(doi:': [3626, 3656, 3681, 3706, 3732, 3767, 3795, 3824, 3847, 3874, 3896, 3924, 3953, 3978, 4009, 4036, 4066, 4103, 4134, 4166, 4197, 4229, 4256, 4288, 4315, 4345, 4385, 4444, 4471, 4502, 4526, 4558, 4587, 4620, 4650, 4678, 4704], 'https://doi.org/10.1063/1.356375)': [3627], '2Zhang': [3628], 'R.,': [3629, 3958, 4069, 4232, 4420], 'Walus': [3630], 'K.,': [3631, 3956, 3981, 4474, 4529, 4531, 4623], 'Wang': [3632], 'W.': [3633], 'et': [3634, 3932, 3961, 3986, 4044, 4111, 4142, 4264, 4323, 4353, 4393, 4479, 4566], 'al.:': [3635, 3933, 3962, 3987, 4045, 4112, 4143, 4265, 4324, 4354, 4394, 4480, 4567], "'A": [3636, 3740, 3963, 4046, 4172, 4423], 'reduction': [3641], 'IEEE': [3646, 3671, 3696, 3785, 4461, 4492, 4544, 4577, 4668, 4694], 'Trans.': [3647, 3672, 3697, 3786, 4462, 4493, 4545, 4578, 4669, 4695], 'Nanotechnol.,': [3648, 3673, 3787, 4463, 4494, 4579, 4670, 4696], '2004,': [3649, 4495], '443': [3653], '450': [3655], 'https://doi.org/10.1109/TNANO.2004.834177)': [3657], '3Cho': [3658], 'H.,': [3659, 3684, 4041, 4108, 4137, 4139], 'Swartzlander': [3660, 3685, 3828], 'E.E.': [3661, 3686], 'Jr.:': [3662, 3687], "'Adder": [3663, 3688, 4074], 'designs': [3664, 4538], 'analyses': [3666], '2007,': [3674, 4551], '374': [3678], '383': [3680], 'https://doi.org/10.1109/TNANO.2007.894839)': [3682], '4Cho': [3683], 'multiplier': [3690], 'Comput.,': [3698], '2009,': [3699, 4671], '58,': [3700], '721': [3703], '727': [3705], 'https://doi.org/10.1109/TC.2009.21)': [3707], '5Hayati': [3708], 'M.,': [3709, 3798, 3899, 3901, 4418, 4505], 'Rezaei': [3710, 3799], 'A.:': [3711, 3800, 4204], "'Design": [3712, 3801, 3830, 3855, 3880, 4113, 4144, 4235, 4294, 4595], 'optimization': [3714], 'comparator': [3717], 'ETRI': [3723], 'J.,': [3724, 3866, 3889, 3917, 3946, 3970, 4518], '2012,': [3725, 4464, 4519], '34,': [3726], '(2),': [3727, 4283, 4340, 4380], '284': [3729], '287': [3731], 'https://doi.org/10.4218/etrij.12.0211.0258)': [3733], '6Ghosh': [3734], 'B.,': [3735, 3927, 4071, 4318], 'Singh': [3736, 4201], 'C.,': [3737, 4291], 'Salimath': [3738], 'A.K.:': [3739], 'novel': [3741, 3803, 4083, 4173, 4424, 4632], 'arithmetic': [3747], 'Low': [3757, 4278, 4375], 'Electron.,': [3759, 4058, 4158, 4189, 4280, 4337, 4377, 4410], '2013,': [3760], '9,': [3761, 4644], '452': [3764], '457': [3766], 'https://doi.org/10.1166/jolpe.2013.1285)': [3768], '7Abedi': [3769], 'D.,': [3770, 3877], 'Jaberipur': [3771], 'G.,': [3772], 'Sangsefidi': [3773], 'M.:': [3774, 4509], "'Coplanar": [3775], 'via': [3782], 'clock-zone-based': [3783], "crossover',": [3784], '2015,': [3788, 3817, 3840, 3867, 4096, 4127, 4249, 4281], '14,': [3789], '497': [3792], '504': [3794], 'https://doi.org/10.1109/TNANO.2015.2409117)': [3796], '8Hayati': [3797], 'efficient': [3804, 3905, 4018], 'subtractor': [3807, 4298], 'Int.': [3812, 4609, 4640], 'Circuit': [3814], 'Theory': [3815], 'Appl.,': [3816], '43,': [3818, 4520], '(10),': [3819, 4129], '1446': [3821], '1454': [3823], 'https://doi.org/10.1002/cta.2019)': [3825], '9Liu': [3826], 'W.,': [3827, 4681], 'E.E.:': [3829], '3-D': [3832], "adders',": [3836, 4693], 'IEICE': [3837], 'Electron.': [3838, 4306], 'Express,': [3839], '12,': [3841, 4128], 'https://doi.org/10.1587/elex.12.20150195)': [3848], '10Roohi': [3849], 'A.,': [3850, 4039], 'DeMara': [3851], 'R.F.,': [3852], 'Khoshavi': [3853], 'N.:': [3854], 'ultra-area-efficient': [3860], 'fault-tolerant': [3861, 3884, 4149, 4241], "adder',": [3864, 4276], 'Microelectron.': [3865, 3888, 3916, 3945, 3969, 4517], '46,': [3868], '531': [3871], '542': [3873], 'https://doi.org/10.1016/j.mejo.2015.03.023)': [3875], '11Kumar': [3876], 'Mitra': [3878], 'D.:': [3879, 4625], 'practical': [3883], "QCA',": [3887, 4460, 4639], '2016,': [3890, 3918, 3947, 4159, 4190, 4222, 4308, 4411], '53,': [3891], '90': [3893], '104': [3895], 'https://doi.org/10.1016/j.mejo.2016.04.004)': [3897], '12Mohammadi': [3898], 'Mohammadi': [3900], 'Gorgin': [3902], 'S.:': [3903, 4073, 4657], "'An": [3904, 4205, 4266], '(QCA)': [3914], "technology',": [3915], '50,': [3919], '35': [3921], '43': [3923], 'https://doi.org/10.1016/j.mejo.2016.02.004)': [3925], '13Sen': [3926], 'Sahu': [3928], 'Y.,': [3929, 4106], 'Mukherjee': [3930, 4321], 'R.': [3931, 3985, 4322], "'On": [3934, 4686], '47,': [3948], '18': [3952], 'https://doi.org/10.1016/j.mejo.2015.11.002)': [3954], '14Navi': [3955], 'Farazkish': [3957, 3984], 'Sayedsalehi': [3959, 3982, 4042], "full-adder',": [3968], '2010,': [3971, 4002, 4643], '41,': [3972], '(12),': [3973], '820': [3975], '826': [3977], 'https://doi.org/10.1016/j.mejo.2010.07.003)': [3979], '15Navi': [3980], 'S.,': [3983, 4012, 4259, 4348, 4653, 4655], "'Five-input": [3988], 'gate,': [3990], 'Comput.': [3999, 4026, 4057, 4124, 4157, 4188, 4336, 4409, 4434], 'Theor.': [4000, 4027, 4125], 'Nanosci.,': [4001, 4028, 4126, 4642], '7,': [4003, 4614, 4698], '(8),': [4004], '1546': [4006], '1553': [4008], 'https://doi.org/10.1166/jctn.2010.1517)': [4010], '16Sayedsalehi': [4011], 'Moaiyeri': [4013], 'M.H.,': [4014], 'Navi': [4015, 4421], 'K.:': [4016, 4422, 4449], "'Novel": [4017, 4355], '2011,': [4029], '8,': [4030, 4672], '(9),': [4031], '1769': [4033], '1775': [4035], 'https://doi.org/10.1166/jctn.2011.1881)': [4037], '17Roohi': [4038], 'Khademolhosseini': [4040, 4391], 'symmetric': [4047], '5-input': [4053, 4078, 4180, 4213], "gate',": [4055, 4122], '2014,': [4059, 4378, 4437, 4613], '13,': [4060], '701': [4063], '708': [4065], 'https://doi.org/10.1007/s10825-014-0589-5)': [4067], '18Kumar': [4068], 'Ghosh': [4070], 'Gupta': [4072], "'multilayer": [4084], "paradigm'": [4087], "circuits',": [4093, 4667], 'Semicond.,': [4095], '36,': [4097], 'https://doi.org/10.1088/1674-4926/36/4/045001)': [4104], '19Zhang': [4105], 'Liu': [4109], '3675': [4131], '3681': [4133], 'https://doi.org/10.1166/jctn.2015.4259)': [4135], '20Du': [4136], 'Y.': [4141], '15,': [4160, 4191], '1484': [4163], '1497': [4165], 'https://doi.org/10.1007/s10825-016-0918-y)': [4167], '21Kassa': [4168], 'S.R.,': [4169], 'Nagaria': [4170], 'R.K.:': [4171], "proofs',": [4186], '(1),': [4192, 4466, 4497, 4553, 4673, 4699], '324': [4194], '334': [4196], 'https://doi.org/10.1007/s10825-015-0757-2)': [4198], '22Sasamal': [4199], 'T.N.,': [4200], 'A.K.,': [4202], 'Mohan': [4203], 'Optik,': [4221], '127,': [4223], '(20),': [4224], '8576': [4226], '8591': [4228], 'https://doi.org/10.1016/j.ijleo.2016.06.034)': [4230], '23Farazkish': [4231], 'Khodaparast': [4233], 'F.:': [4234], 'characterization': [4237], 'full-adder': [4242], 'Microprocess.': [4247], 'Microsyst.,': [4248], '39,': [4250], '426': [4253], '433': [4255], 'https://doi.org/10.1016/j.micpro.2015.04.004)': [4257], '24Angizi': [4258], 'Danehdaran': [4260], 'F.,': [4261, 4388], 'Sarmadi': [4262], 'ultra-high': [4267], 'speed': [4268], 'complexity': [4271, 4451], '11,': [4282, 4465], '173': [4285], '180': [4287], 'https://doi.org/10.1166/jolpe.2015.1378)': [4289], '25Labrado': [4290], 'Thapliyal': [4292], 'H.:': [4293], 'logic-based': [4302], 'field-coupled': [4303], "nanocomputing',": [4305], 'Lett.,': [4307], '52,': [4309], '464': [4312], '466': [4314], 'https://doi.org/10.1049/el.2015.3834)': [4316], '26Sen': [4317], 'Chowdhury': [4319], 'M.R.,': [4320], "'Reliability-aware": [4325], 'scalable': [4332], "circuit',": [4334], '16,': [4339, 4412], '473': [4342], '485': [4344], 'https://doi.org/10.1007/s10825-017-0973-z)': [4346], '27Angizi': [4347], 'Alkaldy': [4349], 'E.,': [4350], 'Bagherzadeh': [4351], 'N.': [4352], 'crossing': [4360], 'products': [4367], '259': [4382], '271': [4384], 'https://doi.org/10.1166/jolpe.2014.1320)': [4386], '28Ahmad': [4387], 'Bhat': [4389], 'G.M.,': [4390], 'H.': [4392], "'Towards": [4395], 'explicit': [4404], "cells',": [4407], '15': [4416], '29Kianpour': [4417], 'Sabbaghi-Nadooshan': [4419], '8-bit': [4427], 'adder/subtractor': [4428], 'Syst.': [4435], 'Sci.,': [4436], '80,': [4438], '1404': [4441], '1414': [4443], 'https://doi.org/10.1016/j.jcss.2014.04.012)': [4445], '30Pudi': [4446], 'V.,': [4447, 4683], 'Sridharan': [4448], "'Low": [4450], 'ripple': [4454], 'Brent–Kung': [4457], '105': [4468], '119': [4470], 'https://doi.org/10.1109/TNANO.2011.2158006)': [4472], '31Walus': [4473], 'Dysart': [4475], 'T.J.,': [4476], 'Jullien': [4477], 'G.A.': [4478], "'QCADesigner:": [4481], 'tool': [4487], '26': [4499], '31': [4501], 'https://doi.org/10.1109/TNANO.2003.820815)': [4503], '32Janez': [4504], 'Pecar': [4506], 'P.,': [4507], 'Mraz': [4508], "'Layout": [4510], 'manufacturable': [4513], '501': [4523], '513': [4525], 'https://doi.org/10.1016/j.mejo.2012.03.007)': [4527], '33Kim': [4528], 'Wu': [4530], 'Karri': [4532], 'R.:': [4533], "'The": [4534], 'composable': [4540], "blocks',": [4543], 'Comput.-Aided': [4546], 'Des.': [4547], 'Integr.': [4548], 'Circuits': [4549], 'Syst.,': [4550], '26,': [4552], '176': [4555], '183': [4557], 'https://doi.org/10.1109/TCAD.2006.883921)': [4559], '34Graunke': [4560], 'C.R.,': [4561], 'Wheeler': [4562], 'D.I.,': [4563], 'Tougaw': [4564], 'D.': [4565], "'Implementation": [4568], 'crossbar': [4571], 'network': [4572], '2005,': [4580], '4,': [4581], '435': [4584], '440': [4586], 'https://doi.org/10.1109/TNANO.2005.851278)': [4588], '35Shin': [4589], 'S.-H.,': [4590], 'Jeon': [4591], 'J.-C.,': [4592], 'Yoo': [4593], 'K.-Y.:': [4594], 'state': [4604], 'Control': [4611], 'Autom.,': [4612], '153': [4617], '164': [4619], 'https://doi.org/10.14257/ijca.2014.7.4.14)': [4621], '36Das': [4622], 'De': [4624], "'Characterization,": [4626], 'synthesis': [4630], 'conservative': [4633], 'reversible': [4635], '214': [4649], 'https://doi.org/10.1142/S0219581X10006594)': [4651], '37Srivastava': [4652], 'Sarkar': [4654], 'Bhanja': [4656], "'Estimation": [4658], '116': [4675], '127': [4677], 'https://doi.org/10.1109/TNANO.2008.2005408)': [4679], '38Ibrahim': [4680], 'Beiu': [4682], 'Sulieman': [4684], 'M.H.:': [4685], '2008,': [4697], '56': [4701], '67': [4703], 'https://doi.org/10.1109/TNANO.2007.915203)': [4705], 'Citing': [4706], 'Literature': [4707], 'Volume2017,': [4708], 'Issue10October': [4709], '2017Pages': [4710], 'FiguresReferencesRelatedInformation': [4712]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2759922219', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 3}, {'year': 2021, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 1}], 'updated_date': '2024-12-12T07:50:24.372087', 'created_date': '2017-10-06'}
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