用可变量子热化器模拟(Z_{2}\)晶格规理论

IF 5.8 2区 物理与天体物理 Q1 OPTICS EPJ Quantum Technology Pub Date : 2024-03-15 DOI:10.1140/epjqt/s40507-024-00232-2
Michael Fromm, Owe Philipsen, Michael Spannowsky, Christopher Winterowd
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引用次数: 0

摘要

强耦合晶格规理论在有限密度和实时条件下的性质在很大程度上一直没有得到晶格上的第一原理研究。这是由于对具有复杂作用的系统进行重要性采样的失败。回避符号问题的另一种方法是量子模拟。尽管量子模拟仍处于起步阶段,但在设计解决这些问题的算法方面已经取得了很大进展。特别是,最近的努力已经解决了如何在量子计算机上产生热吉布斯态的问题。在本研究中,我们将变分量子算法应用于一个具有局部非比规对称性的低维模型。我们演示了如何应用这种方法来获取相图信息以及非零温度下的不等时相关函数。
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Simulating \(Z_{2}\) lattice gauge theory with the variational quantum thermalizer

The properties of strongly-coupled lattice gauge theories at finite density as well as in real time have largely eluded first-principles studies on the lattice. This is due to the failure of importance sampling for systems with a complex action. An alternative to evade the sign problem is quantum simulation. Although still in its infancy, a lot of progress has been made in devising algorithms to address these problems. In particular, recent efforts have addressed the question of how to produce thermal Gibbs states on a quantum computer. In this study, we apply a variational quantum algorithm to a low-dimensional model which has a local abelian gauge symmetry. We demonstrate how this approach can be applied to obtain information regarding the phase diagram as well as unequal-time correlation functions at non-zero temperature.

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来源期刊
EPJ Quantum Technology
EPJ Quantum Technology Physics and Astronomy-Atomic and Molecular Physics, and Optics
CiteScore
7.70
自引率
7.50%
发文量
28
审稿时长
71 days
期刊介绍: Driven by advances in technology and experimental capability, the last decade has seen the emergence of quantum technology: a new praxis for controlling the quantum world. It is now possible to engineer complex, multi-component systems that merge the once distinct fields of quantum optics and condensed matter physics. EPJ Quantum Technology covers theoretical and experimental advances in subjects including but not limited to the following: Quantum measurement, metrology and lithography Quantum complex systems, networks and cellular automata Quantum electromechanical systems Quantum optomechanical systems Quantum machines, engineering and nanorobotics Quantum control theory Quantum information, communication and computation Quantum thermodynamics Quantum metamaterials The effect of Casimir forces on micro- and nano-electromechanical systems Quantum biology Quantum sensing Hybrid quantum systems Quantum simulations.
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