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  • Open Access

Dual-Isometric Projected Entangled Pair States

Xie-Hang Yu, J. Ignacio Cirac, Pavel Kos*, and Georgios Styliaris*

  • *These authors contributed equally to this work.
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Phys. Rev. Lett. 133, 190401 – Published 5 November, 2024

DOI: https://doi.org/10.1103/PhysRevLett.133.190401

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.

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Phys. Rev. Lett. 133, 190401– Published 5 November, 2024
  • Received 15 May 2024
  • Accepted 11 September 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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