Clifford synthesis via generalized S and CZ gates
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912982759374848 |
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| author | Kliuchnikov, Vadym da Silva, Marcus P. |
| author_facet | Kliuchnikov, Vadym da Silva, Marcus P. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24731 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Clifford synthesis via generalized S and CZ gates Kliuchnikov, Vadym da Silva, Marcus P. Quantum Physics 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. |
| title | Clifford synthesis via generalized S and CZ gates |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.24731 |