Multiscale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model

Lukasz Cincio, Jacek Dziarmaga, and Marek M. Rams
Phys. Rev. Lett. 100, 240603 – Published 19 June 2008

Abstract

We propose a symmetric version of the multiscale entanglement renormalization ansatz 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 8×8 square lattice are found to be very accurate even with the smallest nontrivial truncation parameter.

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  • Received 30 October 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.240603

©2008 American Physical Society

Authors & Affiliations

Lukasz Cincio, Jacek Dziarmaga, and Marek M. Rams

  • Institute of Physics and Centre for Complex Systems Research, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

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Vol. 100, Iss. 24 — 20 June 2008

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