Generators and relations for n-qubit Clifford operatorsArticle
Authors: Peter Selinger
0000-0003-3161-856X
Peter Selinger
We define a normal form for Clifford circuits, and we prove that every
Clifford operator has a unique normal form. Moreover, we present a rewrite
system by which any Clifford circuit can be reduced to normal form. This yields
a presentation of Clifford operators in terms of generators and relations.
Justin Makary;Neil J. Ross;Peter Selinger, 2021, Generators and Relations for Real Stabilizer Operators, arXiv (Cornell University), 343, pp. 14-36, 10.4204/eptcs.343.2.
Long Ma;Jaron Sanders, Springer eBooks, Markov Chains and Hitting Times for Error Accumulation in Quantum Circuits, pp. 36-55, 2021, 10.1007/978-3-030-92511-6_3.