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Two-Dimensional Tensor Product Variational Formulation

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abstract

We propose a numerical self-consistent method for 3D classical lattice models, which optimizes the variational state written as two-dimensional product of tensors. The variational partition function is calculated by the corner transfer matrix renormalization group (CTMRG), which is a variant of the density matrix renormalization group (DMRG). Numerical efficiency of the method is observed via its application to the 3D Ising model.

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quant-ph 1

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2026 1

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UNVERDICTED 1

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Mapping twist fields to local operators via tensor networks

quant-ph · 2026-05-25 · unverdicted · novelty 7.0

Constructs explicit physical local operators whose expectation values match twist field actions in MPS, exact in the injectivity limit and at the center of orthogonality, with numerical tests in the transverse-field Ising model.

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  • Mapping twist fields to local operators via tensor networks quant-ph · 2026-05-25 · unverdicted · none · ref 30 · internal anchor

    Constructs explicit physical local operators whose expectation values match twist field actions in MPS, exact in the injectivity limit and at the center of orthogonality, with numerical tests in the transverse-field Ising model.