@article{kliuchnikov2013optimization,
author = {Kliuchnikov, Vadym and Maslov, Dmitri},
title = {Optimization of Clifford circuits},
year = {2013},
month = {November},
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.},
publisher = {APS},
url = {http://approjects.co.za/?big=en-us/research/publication/optimization-of-clifford-circuits/},
pages = {52307},
journal = {Physical Review A},
volume = {88},
edition = {Physical Review A},
}