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Quantum Simulation
Algorithms for entanglement renormalization
arXiv
Authors: G. Evenbly, G. Vidal
Year
2007
Paper ID
49715
Status
Preprint
Abstract Read
~2 min
Abstract Words
84
Citations
N/A
Abstract
We describe an iterative method to optimize the multi-scale entanglement renormalization ansatz (MERA) for the low-energy subspace of local Hamiltonians on a D-dimensional lattice. For translation invariant systems the cost of this optimization is logarithmic in the linear system size. Specialized algorithms for the treatment of infinite systems are also described. Benchmark simulation results are presented for a variety of 1D systems, namely Ising, Potts, XX and Heisenberg models. The potential to compute expected values of local observables, energy gaps and correlators is investigated.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We describe an iterative method to optimize the multi-scale entanglement renormalization ansatz (MERA) for the low-energy subspace of local Hamiltonians on a D-dimensional lattice.
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