在 NISQ 设备上模拟 Rohksar-Kivelson 梯形图。

IF 3.8 2区综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES

Scientific Reports Pub Date : 2024-11-26 DOI:10.1038/s41598-024-79480-2

Sabhyata Gupta, Younes Javanmard, Tobias J Osborne, Luis Santos

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引用次数: 0

摘要

我们提出了一种量子经典算法，用于研究 NISQ 器件上罗克萨-基韦尔森（Rohksar-Kivelson）格子梯的动力学。我们的研究表明，利用量规不变性、附加对称性以及与梯形几何中如何阻止方块环交换相关的一个关键特性，可以在很大程度上降低复杂性。这样就可以用少量量子比特高效地模拟可观的梯形图，非常适合目前 NISQ 设备的能力。我们在 IBM-Q 机器上使用量子门对多达 8 个梯形图进行了模拟，并对该程序进行了说明。

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Simulation of a Rohksar-Kivelson ladder on a NISQ device.

We present a quantum-classical algorithm to study the dynamics of the Rohksar-Kivelson plaquette ladder on NISQ devices. We show that complexity is largely reduced using gauge invariance, additional symmetries, and a crucial property associated to how plaquettes are blocked against ring-exchange in the ladder geometry. This allows for an efficient simulation of sizable plaquette ladders with a small number of qubits, well suited for the capabilities of present NISQ devices. We illustrate the procedure for ladders with simulation of up to 8 plaquettes in an IBM-Q machine, employing scaled quantum gates.

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来源期刊

Scientific Reports Natural Science Disciplines-

CiteScore

7.50

自引率

4.30%

发文量

19567

审稿时长

3.9 months

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