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arxiv: 1403.7640 · v1 · pith:WJWVWZYLnew · submitted 2014-03-29 · 🪐 quant-ph

Correlation in fermion or boson systems as the minimum of entropy relative to all free states

Alex D. Gottlieb , Norbert J. Mauser This is my paper
classification 🪐 quant-ph
keywords freenonfreenessstatescorrelationentropyrelativestateindependent-particle
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In the context of many-fermion systems, "correlation" refers to the inadequacy of an independent-particle model. Using "free" states as archetypes of our independent-particle model, we have proposed a measure of correlation that we called "nonfreeness" [Int. J. Quant. Inf. 5, 815 (2007)]. The nonfreeness of a many-fermion state was defined to be its entropy relative to the unique free state with the same 1-matrix. In this article, we prove that the nonfreeness of a state is the minimum of its entropy relative to all free states. We also extend the definition of nonfreeness to many-boson states and discuss a couple of examples.

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  1. Quantum magic of strongly correlated fermions $-$ the Hubbard dimer

    quant-ph 2026-05 unverdicted novelty 6.0

    Non-stabilizerness of the Hubbard dimer is computed with robustness of magic and stabilizer Rényi entropy, revealing it as a resource distinct from fermionic non-Gaussianity and superselected entanglement.