二维格上的稀疏哈密顿量模拟

IF 8.1 1区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Physical review letters Pub Date : 2025-05-01 DOI:10.1103/physrevlett.134.170602

Harriet Apel, Nouédyn Baspin

引用次数: 0

摘要

具有稀疏的远程相互作用的系统形成了一个丰富的类，能够展示各种有趣的物理现象，包括良好的纠错。在这封信中，我们展示了如何用2D最近邻哈密顿量模拟任何稀疏泡利哈密顿量，使用比以前的技术更少的资源。作为一个应用，我们演示了如何模拟一个好的量子码哈密顿量，有效地在二维中近似[[N，Ω(N)，Ω(N)]]码。2025年由美国物理学会出版

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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Simulating Sparse Hamiltonians on 2D Lattices

Systems with sparse, yet long-range interactions, form a rich class capable of exhibiting various interesting physics, including good error correction. In this Letter we show how to simulate any sparse Pauli Hamiltonian with a 2D nearest neighbor Hamiltonian, using fewer resources than previous techniques. As an application we demonstrate how to simulate a good quantum code Hamiltonian, effectively approximating a [[N,Ω(N),Ω(N)]] code in two dimensions.

Published by the American Physical Society

2025

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来源期刊

Physical review letters 物理-物理：综合

CiteScore

16.50

自引率

7.00%

发文量

2673

审稿时长

2.2 months

期刊介绍： Physical review letters(PRL)covers the full range of applied, fundamental, and interdisciplinary physics research topics: General physics, including statistical and quantum mechanics and quantum information Gravitation, astrophysics, and cosmology Elementary particles and fields Nuclear physics Atomic, molecular, and optical physics Nonlinear dynamics, fluid dynamics, and classical optics Plasma and beam physics Condensed matter and materials physics Polymers, soft matter, biological, climate and interdisciplinary physics, including networks