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Quantum Error Correction Fault Tolerance
Clifford synthesis via generalized S and CZ gates
arXiv
Authors: Vadym Kliuchnikov, Marcus P. da Silva
Year
2026
Paper ID
35692
Status
Preprint
Abstract Read
~2 min
Abstract Words
88
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
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- We show that any n-qubit Clifford unitary can be implemented using at most 2n multi-qubit joint measurements.
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