Dual-isometric Projected Entangled Pair States
- URL: http://arxiv.org/abs/2404.16783v2
- Date: Tue, 25 Jun 2024 12:10:47 GMT
- Title: Dual-isometric Projected Entangled Pair States
- Authors: Xie-Hang Yu, J. Ignacio Cirac, Pavel Kos, Georgios Styliaris,
- Abstract summary: We propose a new class of Project Entangled Pair State (PEPS) that incorporates two isometric conditions.
This new class facilitates the efficient calculation of general local observables and certain two-point correlation functions.
We analytically demonstrate that this class can encode universal quantum computations and can represent a transition from topological to trivial order.
- Score: 0.29998889086656577
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Efficient characterization of higher dimensional many-body physical states presents significant challenges. In this paper, we propose a new class of Project Entangled Pair State (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 computations and can represent a transition from topological to trivial order.
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