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Uncertainty-reality complementarity and entropic uncertainty relations

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Reality of quantum observables, a feature of long-standing interest within foundations of quantum mechanics, has recently been quantified and deeply studied by means of entropic measures [Phys. Rev. A 97,… Click to show full abstract

Reality of quantum observables, a feature of long-standing interest within foundations of quantum mechanics, has recently been quantified and deeply studied by means of entropic measures [Phys. Rev. A 97, 022107 (2018)]. However, there is no state-independent "reality trade-off" between noncommuting observables, as in certain systems all observables are real [Europhys. Lett. 112, 40005 (2015)]. We show that the entropic uncertainty relation in the presence of quantum memory [Nature Phys. 6, 659 (2010)] perfectly supplements the discussed notion of reality. State-independent complementarity inequalities involving entropic measures of both, uncertainty and reality, for two observables are presented.

Keywords: entropic uncertainty; uncertainty; reality complementarity; reality; uncertainty reality

Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2018

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