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Entanglement renormalization and wavelets

· 2016 · cond-mat.str-el · arXiv 1602.01166

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abstract

We establish a precise connection between discrete wavelet transforms (WTs) and entanglement renormalization (ER), a real-space renormalization group transformation for quantum systems on the lattice, in the context of free particle systems. Specifically, we employ Daubechies wavelets to build approximations to the ground state of the critical Ising model, then demonstrate that these states correspond to instances of the multi-scale entanglement renormalization ansatz (MERA), producing the first known analytic MERA for critical systems.

fields

quant-ph 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Shallow Unitary Circuits for Kramers-Wannier Dualities quant-ph · 2026-07-02 · unverdicted · none · ref 27 · internal anchor

    Log-depth nonlocal unitary circuits realize exact Z2 and Zn KW dualities that map arbitrary SRE states to LRE duals in the symmetric sector.