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arXiv · 1305.0810

Optimization of Clifford Circuits

Vadym Kliuchnikov·Dmitri Maslov
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Abstract

We study optimal synthesis of Clifford circuits, and apply the results to peep-hole optimization of quantum circuits. We report optimal circuits for all Clifford operations with up to four inputs. We perform peep-hole optimization of Clifford circuits with up to 40 inputs found in the literature, and demonstrate the reduction in the number of gates by about 50%. We extend our methods to the optimal synthesis of linear reversible circuits, partially specified Clifford functions, and optimal Clifford circuits with five inputs up to input/output permutation. The results find their application in randomized benchmarking protocols, quantum error correction, and quantum circuit optimization.

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Vadym Kliuchnikov, Dmitri Maslov. 2013-11-10. Optimization of Clifford Circuits. https://doi.org/10.1103/physreva.88.052307

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