Title: Optimization of universal quantum gates with higher-dimensional spaces
Abstract: Minimizing the number of necessary two-qubit gates is an important task in quantum information processing. By introducing non-computational quantum states, we construct effective circuits for the controlled-NOT (CNOT) gate and the n-qubit Toffoli gate with (2n-3) qubit-qudit gates and (2n-4) single-qudit gates. The cost of a three-qubit Toffoli gate is reduced from the minimum limit of five two-qubit gates to three nearest-neighbor qubit-qudit gates. By operating with the spatial-mode degree of freedom, polarization CNOT and Toffoli gates are designed with linear optics. Our optical schemes can be achieved with a higher success probability and no extra auxiliary photons are needed in the scheme.
Publication Year: 2021
Publication Date: 2021-06-03
Language: en
Type: preprint
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