Distance-based approach to quantum coherence and nonclassicality

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2022

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Amer Physical Soc
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We provide a coherence-based approach to nonclassical behavior by means of distance measures. We develop a quantitative relation between coherence and nonclassicality quantifiers, which establish the nonclassicality as the maximum quantum-coherence achievable. We compute the coherence of several representative examples and discuss whether the theory may be extended to reference observables with continuous spectra.
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©2022 American Physical Society. L.A. and A.L. acknowledge financial support from Spanish Ministerio de Economia y Competitividad Project No. FIS2016-75199-P. L.A. acknowledges financial support from the European Social Fund and the Spanish Ministerio de Ciencia Innovacion y Universidades, Contract Grant No. BES-2017-081942.
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