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Quantum Simulation Entanglement Theory Quantum Correlations Quantum State Preparation Representation

Non-commutative Nash inequalities

arXiv

Authors: Michael J. Kastoryano, Kristan Temme

Year

2015

Paper ID

27848

Status

Preprint

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~2 min

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Abstract

A set of functional inequalities - called Nash inequalities - are introduced and analyzed in the context of quantum Markov process mixing. The basic theory of Nash inequalities is extended to the setting of non-commutative Lp spaces, where their relationship to Poincare and log-Sobolev inequalities are fleshed out. We prove Nash inequalities for a number of unital reversible semigroups.

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A set of functional inequalities - called Nash inequalities - are introduced and analyzed in the context of quantum Markov process mixing.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1508.02522 [2] arXiv https://arxiv.org/abs/1508.02522 [3] Publisher https://arxiv.org/abs/1508.02522

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