Multi-scale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model
Lukasz Cincio, Jacek Dziarmaga, and Marek M. Rams
TL;DR
This paper introduces a symmetric 2D MERA approach to accurately approximate ground states of quantum systems, demonstrated on the 2D quantum Ising model with high precision on an 8x8 lattice.
Contribution
A symmetric 2D MERA framework is developed and applied to find ground states of 2D quantum systems, showing high accuracy with minimal truncation.
Findings
High-accuracy ground state approximation for 2D quantum Ising model
Effective use of minimal truncation parameters
Demonstration on an 8x8 lattice
Abstract
We propose a symmetric version of the multi-scale entanglement renormalization Ansatz (MERA) in two spatial dimensions (2D) and use this Ansatz to find an unknown ground state of a 2D quantum system. Results in the simple 2D quantum Ising model on the square lattice are found to be very accurate even with the smallest non-trivial truncation parameter.
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