Work

Dual-Isometric Projected Entangled Pair States

Year: 2024

Type: article

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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.133.190401

Authors: Xie-Hang Yu, J. Ignacio Cirac, Pavel Kos, Georgios Styliaris

Institutions: Max Planck Institute of Quantum Optics, Munich Center for Quantum Science and Technology

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funders: Alexander von Humboldt-Stiftung, Bundesministerium für Bildung und Forschung