Measurement-Assisted Clifford Synthesis

Sowmitra Das

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arXiv · 2511.19732

Measurement-Assisted Clifford Synthesis

Sowmitra Das

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Abstract

In this letter, we introduce a method to synthesize an $n$-qubit Clifford unitary $C$ from the stabilizer tableau of its inverse $C\dag$, 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 $n$.

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BibTeX RIS

Sowmitra Das. 2025-11-24. Measurement-Assisted Clifford Synthesis. https://arxiv.org/abs/2511.19732

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