Describing Trotterized Time Evolutions on Noisy Quantum Computers via Static Effective Lindbladians

IF 5.1 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Quantum Pub Date : 2025-09-11 DOI:10.22331/q-2025-09-11-1854
Keith R. Fratus, Kirsten Bark, Nicolas Vogt, Juha Leppäkangas, Sebastian Zanker, Michael Marthaler, Jan-Michael Reiner
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引用次数: 0

Abstract

We consider the extent to which a Trotterized time evolution implemented on a quantum computer is altered by the presence of decoherence. Given a specific set of assumptions regarding the manner in which noise processes acting on such a device can be modeled at the circuit level, we show how the effects of noise can be reinterpreted as a shift to the dynamics of the original system being simulated. In particular, we find that this shift can be described through the use of static Lindblad noise terms, which act in addition to the original unitary dynamics. The form of these noise terms depends not only on the underlying noise processes occurring on the device, but also on the original unitary dynamics, as well as the manner in which these dynamics are simulated on the device, i.e., the choice of quantum algorithm. We call this effectively simulated open quantum system the noisy algorithm model. Our results are confirmed through numerical analysis.
用静态有效林德布拉迪亚人描述噪声量子计算机上的时域演化
我们考虑在量子计算机上实现的trotter化时间演化在多大程度上被退相干的存在所改变。给定一组特定的假设,关于如何在电路水平上模拟作用于这种设备的噪声过程,我们展示了如何将噪声的影响重新解释为向被模拟的原始系统的动力学转移。特别是,我们发现这种转变可以通过使用静态林德布莱德噪声项来描述,这些噪声项在原始的统一动态之外起作用。这些噪声项的形式不仅取决于设备上发生的潜在噪声过程,还取决于原始的单一动力学,以及这些动力学在设备上模拟的方式,即量子算法的选择。我们称这种有效模拟的开放量子系统为噪声算法模型。数值分析结果证实了本文的结论。
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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