@misc{kliuchnikov2026clifford, author = {Kliuchnikov, Vadym and Silva, M.}, title = {Clifford synthesis via generalized S and CZ gates}, howpublished = {arXiv}, year = {2026}, month = {March}, abstract = {We show that any $n$-qubit Clifford unitary can be implemented using at most $2n$ multi-qubit joint measurements. All the multi-qubit joint measurements used for implementing the Clifford unitary can be chosen to form at most two sets of independent mutually-commuting measurements. Each of these sets is of size at most $n$. This enables very flexible space-time trade-offs when implementing Clifford unitaries. We also discuss a version of the result that relies on multi-target CNOTs and is more relevant for targeting fault-tolerant hardware based on Quantum LDPC codes.}, url = {http://approjects.co.za/?big=en-us/research/publication/clifford-synthesis-via-generalized-s-and-cz-gates/}, }