Dual-Isometric Projected Entangled Pair States

IF 8.1 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Xie-Hang Yu, J. Ignacio Cirac, Pavel Kos, Georgios Styliaris
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引用次数: 0

Abstract

Efficient characterization of higher dimensional many-body physical states presents significant challenges. In this Letter, we propose a new class of projected entangled pair states (PEPS) that incorporates two isometric conditions. This new class facilitates the efficient calculation of general local observables and certain two-point correlation functions, which have been previously shown to be intractable for general PEPS, or PEPS with only a single isometric constraint. Despite incorporating two isometric conditions, our class preserves the rich physical structure while enhancing the analytical capabilities. It features a large set of tunable parameters, with only a subleading correction compared to that of general PEPS. Furthermore, we analytically demonstrate that this class can encode universal quantum computation and can represent a transition from topological to trivial order.
双等距投影纠缠对态
高效表征高维多体物理状态是一项重大挑战。在这封信中,我们提出了一类包含两个等距条件的新的投影纠缠对态(PEPS)。这一新类别有助于高效计算一般局部观测值和某些两点相关函数,而这些观测值和函数对于一般 PEPS 或只有单一等距约束的 PEPS 来说是难以计算的。尽管包含了两个等距条件,我们的类仍然保留了丰富的物理结构,同时增强了分析能力。它具有大量可调参数集,与一般 PEPS 相比,只需进行次要修正。此外,我们通过分析证明,该类可以编码通用量子计算,并能代表从拓扑阶到琐碎阶的过渡。
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
Physical review letters
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
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