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arXiv · 0710.3829

Multi-scale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model

Lukasz Cincio·Jacek Dziarmaga·Marek M. Rams
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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 $8\times8$ square lattice are found to be very accurate even with the smallest non-trivial truncation parameter.

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Lukasz Cincio, Jacek Dziarmaga, Marek M. Rams. 2008-05-19. Multi-scale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model. https://doi.org/10.1103/physrevlett.100.240603

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