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Trapped Ion Quantum Computing

An exactly solvable ansatz for statistical mechanics models

arXiv
Authors: Isaac H. Kim

Year

2020

Paper ID

19942

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

We propose a family of "exactly solvable" probability distributions to approximate partition functions of two-dimensional statistical mechanics models. While these distributions lie strictly outside the mean-field framework, their free energies can be computed in a time that scales linearly with the system size. This construction is based on a simple but nontrivial solution to the marginal problem. We formulate two non-linear constraints on the set of locally consistent marginal probabilities that simultaneously (i) ensure the existence of a consistent global probability distribution and (ii) lead to an exact expression for the maximum global entropy.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • We propose a family of "exactly solvable" probability distributions to approximate partition functions of two-dimensional statistical mechanics models.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2010.07423 [2] arXiv https://arxiv.org/abs/2010.07423 [3] Publisher https://arxiv.org/abs/2010.07423

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