Optimised T counts and active volume estimates for high- and low- level arithmetic subroutines

Abstract:Surface code based quantum computers show great promise for fault-tolerant quantum computing, but most architectures needlessly increase the spacetime volume of a computation due to qubits sitting idly during a computation. Active volume architectures, with long-range connectivity, aim to remove idle spacetime volume leaving only the spacetime volume that logically contributes to a computation. In this work we optimise and derive the active volumes for several industry-leading low- and high-level arithmetic subroutines and achieve significant T-count reductions. We discuss a simple method for estimating and optimising active volumes using orientated ZX diagrams. We also demonstrate that circuit structure, beyond gate counts alone, impacts the active volume of a subroutine and therefore should be taken into consideration when designing circuits.

arXiv:2504.19626 [quant-ph]

(or arXiv:2504.19626v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2504.19626 Focus to learn more arXiv-issued DOI via DataCite

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