Corpus ID: 209444815

# Entanglement compression in scale space: from the multiscale entanglement renormalization ansatz to matrix product operators

@article{Acoleyen2019EntanglementCI,
title={Entanglement compression in scale space: from the multiscale entanglement renormalization ansatz to matrix product operators},
author={Karel Van Acoleyen and Andrew Hallam and Matthias Bal and Markus Hauru and Jutho Haegeman and Frank Verstraete},
journal={arXiv: Strongly Correlated Electrons},
year={2019}
}
• Karel Van Acoleyen, +3 authors Frank Verstraete
• Published 2019
• Physics
• arXiv: Strongly Correlated Electrons
• The multiscale entanglement renormalization ansatz (MERA) provides a constructive algorithm for realizing wavefunctions that are inherently scale invariant. Unlike conformally invariant partition functions however, the finite bond dimension $\chi$ of the MERA provides a cut-off in the fields that can be realized. In this letter, we demonstrate that this cut-off is equivalent to the one obtained when approximating a thermal state of a critical Hamiltonian with a matrix product operator (MPO) of… CONTINUE READING

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