Locality-aware Pauli-based computation for local magic state preparation

Fuente: arXiv
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Autori principali: Hirano, Yutaka, Fujii, Keisuke
Natura: Preprint
Pubblicazione: 2025
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author Hirano, Yutaka
Fujii, Keisuke
author_facet Hirano, Yutaka
Fujii, Keisuke
contents Magic state distillation, a process for preparing magic states needed to implement non-Clifford gates fault-tolerantly, plays a crucial role in fault-tolerant quantum computation. Historically, it has been a major bottleneck, leading to the pursuit of computation schemes optimized for slow magic state preparation. Recent advances in magic state distillation have significantly reduced the overhead, enabling the simultaneous preparation of many magic states. However, the magic state transfer cost prevents the conventional layout from efficiently utilizing them, highlighting the need for an alternative scheme optimized for highly parallel quantum algorithms. In this study, we propose locality-aware Pauli-based computation, a novel compilation scheme that distills magic states in the computation area, aiming to reduce execution time by minimizing magic state transfer costs and improving locality. Numerical experiments on random circuit sampling and 2D Ising Hamiltonian simulation demonstrate that our scheme significantly reduces execution time, while incurring little or no additional spatial overhead, compared to sequential Pauli-based computation, a conventional computation scheme, and scales favorably with increasing qubit count.
format Preprint
id arxiv_https___arxiv_org_abs_2504_12091
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Locality-aware Pauli-based computation for local magic state preparation
Hirano, Yutaka
Fujii, Keisuke
Quantum Physics
Magic state distillation, a process for preparing magic states needed to implement non-Clifford gates fault-tolerantly, plays a crucial role in fault-tolerant quantum computation. Historically, it has been a major bottleneck, leading to the pursuit of computation schemes optimized for slow magic state preparation. Recent advances in magic state distillation have significantly reduced the overhead, enabling the simultaneous preparation of many magic states. However, the magic state transfer cost prevents the conventional layout from efficiently utilizing them, highlighting the need for an alternative scheme optimized for highly parallel quantum algorithms. In this study, we propose locality-aware Pauli-based computation, a novel compilation scheme that distills magic states in the computation area, aiming to reduce execution time by minimizing magic state transfer costs and improving locality. Numerical experiments on random circuit sampling and 2D Ising Hamiltonian simulation demonstrate that our scheme significantly reduces execution time, while incurring little or no additional spatial overhead, compared to sequential Pauli-based computation, a conventional computation scheme, and scales favorably with increasing qubit count.
title Locality-aware Pauli-based computation for local magic state preparation
topic Quantum Physics
url https://arxiv.org/abs/2504.12091