Sequency Hierarchy Truncation (SeqHT) for Adiabatic State Preparation and Time Evolution in Quantum Simulations

IF 5.1 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Quantum Pub Date : 2025-09-29 DOI:10.22331/q-2025-09-29-1865
Zhiyao Li, Dorota M. Grabowska, Martin J. Savage
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引用次数: 0

Abstract

We introduce the Sequency Hierarchy Truncation (SeqHT) scheme for reducing the resources required for state preparation and time evolution in quantum simulations, based upon a truncation in sequency. For the $\lambda\phi^4$ interaction in scalar field theory, or any interaction with a polynomial expansion, upper bounds on the contributions of operators of a given sequency are derived. For the systems we have examined, observables computed in sequency-truncated wavefunctions, including quantum correlations as measured by magic, are found to step-wise converge to their exact values with increasing cutoff sequency. The utility of SeqHT is demonstrated in the adiabatic state preparation of the $\lambda\phi^4$ anharmonic oscillator ground state using IBM's quantum computer $\texttt{ibm_sherbrooke}$. Using SeqHT, the depth of the required quantum circuits is reduced by $\sim 30\%$, leading to significantly improved determinations of observables in the quantum simulations. More generally, SeqHT is expected to lead to a reduction in required resources for quantum simulations of systems with a hierarchy of length scales.
量子模拟中绝热态制备和时间演化的序列层次截断(SeqHT
为了减少量子模拟中状态准备和时间演化所需的资源,我们引入了基于序列截断的序列层次截断(SeqHT)方案。对于标量场理论中的$\lambda\phi^4$相互作用,或任何具有多项式展开的相互作用,导出了给定序列的算子贡献的上界。对于我们所研究的系统,在序列截断波函数中计算的可观测值,包括通过魔术测量的量子相关性,发现随着截止序列的增加逐步收敛到它们的精确值。利用IBM的量子计算机$\texttt{ibm_sherbrooke}$在$\lambda\phi^4$非谐振子基态的绝热状态制备中证明了SeqHT的效用。使用SeqHT,所需量子电路的深度降低了$\sim 30\%$,从而显著改善了量子模拟中可观测值的确定。更一般地说,SeqHT有望减少具有长度尺度层次结构的系统的量子模拟所需的资源。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Quantum
Quantum Physics and Astronomy-Physics and Astronomy (miscellaneous)
CiteScore
9.20
自引率
10.90%
发文量
241
审稿时长
16 weeks
期刊介绍: Quantum is an open-access peer-reviewed journal for quantum science and related fields. Quantum is non-profit and community-run: an effort by researchers and for researchers to make science more open and publishing more transparent and efficient.
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