Measurement-Assisted Clifford Synthesis

Fuente: arXiv
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Main Author: Das, Sowmitra
Format: Preprint
Published: 2025
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author Das, Sowmitra
author_facet Das, Sowmitra
contents In this letter, we introduce a method to synthesize an $n$-qubit Clifford unitary $C$ from the stabilizer tableau of its inverse $C†$, using ancilla qubits and measurements. The procedure uses ancillary $|+\rangle$ states, controlled-Paulis, $X$-basis measurements and single-qubit Pauli corrections on the data qubits (based on the measurement results). This introduces a new normal form for Clifford synthesis, with the number of two-qubit gates required exactly equal to the weight of the stabilizer tableau, and a depth linear in $n$.
format Preprint
id arxiv_https___arxiv_org_abs_2511_19732
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Measurement-Assisted Clifford Synthesis
Das, Sowmitra
Quantum Physics
In this letter, we introduce a method to synthesize an $n$-qubit Clifford unitary $C$ from the stabilizer tableau of its inverse $C†$, using ancilla qubits and measurements. The procedure uses ancillary $|+\rangle$ states, controlled-Paulis, $X$-basis measurements and single-qubit Pauli corrections on the data qubits (based on the measurement results). This introduces a new normal form for Clifford synthesis, with the number of two-qubit gates required exactly equal to the weight of the stabilizer tableau, and a depth linear in $n$.
title Measurement-Assisted Clifford Synthesis
topic Quantum Physics
url https://arxiv.org/abs/2511.19732