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arXiv · 2310.10882

A simple asymptotically optimal Clifford circuit compilation algorithm

Timothy Proctor·Kevin Young
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Abstract

We present an algorithm that decomposes any $n$-qubit Clifford operator into a circuit consisting of three subcircuits containing only CNOT or CPHASE gates with layers of one-qubit gates before and after each of these subcircuits. As with other asymptotically optimal Clifford compilation algorithms, the resulting circuit contains $O(n^2/\log n)$ two-qubit gates. The derivation of our algorithm only requires the symplectic representation of Clifford gates, basic row and column matrix manipulations, and some known properties of general matrices over 0 and 1.

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Timothy Proctor, Kevin Young. 2023-10-16. A simple asymptotically optimal Clifford circuit compilation algorithm. https://arxiv.org/abs/2310.10882

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