A class of quantum many-body states that can be efficiently simulated

Abstract

We introduce the multi-scale entanglement renormalization ansatz (MERA), an efficient representation of certain quantum many-body states on a D-dimensional lattice. Equivalent to a quantum circuit with logarithmic depth and distinctive causal structure, the MERA allows for an exact evaluation of local expectation values. It is also the structure underlying entanglement renormalization, a coarse-graining scheme for quantum systems on a lattice that is focused on preserving entanglement.

4 pages, 5 figures

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Cited by in corpus (23)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space
• Simulating Strongly Correlated Quantum Systems with Tree Tensor Networks
• Entanglement renormalization, scale invariance, and quantum criticality
• Implementing global Abelian symmetries in projected entangled-pair state algorithms
• Entanglement renormalization and gauge symmetry
• Quantum computational capability of a 2D valence bond solid phase
• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• Simulation of fermionic lattice models in two dimensions with Projected Entangled-Pair States: Next-nearest neighbor Hamiltonians
• Quantum MERA Channels
• Monte Carlo simulation with Tensor Network States
• Exact entanglement renormalization for string-net models
• Tensor operators: constructions and applications for long-range interaction systems
• Simulation of anyons with tensor network algorithms
• Essential singularity in the Renyi entanglement entropy of the one-dimensional XYZ spin-1/2 chain
• Re-examining the directional-ordering transition in the compass model with screw-periodic boundary conditions
• Anyonic entanglement renormalization
• Holographic description of large N gauge theory
• Real-space renormalization yields finite correlations
• Renormalization algorithm with graph enhancement
• Uniform Matrix Product State in the Thermodynamic Limit