Uncertainty-Reality Complementarity and Entropic Uncertainty Relations

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, rendering trade-offs between reality and quantum uncertainty. State-independent complementarity inequalities involving entropic measures of both, uncertainty and reality, for two observables are presented.

arXiv commentPublished in Special Volume "Shannon's Information Theory 70 years on: applications in classical and quantum physics"

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Cited by in corpus (10)

• Experimental assessment of physical realism in a quantum-controlled device
• Irrealism from fringe visibility in matter-wave double-slit interference with initial contractive states
• Analytical Shannon information entropies for all discrete multidimensional hydrogenic states
• Quantifying continuous-variable realism
• Zero Uncertainty States in the Presence of Quantum Memory
• High-dimensional monitoring and the emergence of realism via multiple observers
• Entropic Uncertainty Relations via Direct-Sum Majorization Relation for Generalized Measurements
• Quantum observable's reality erasure with spacelike-separated operations
• Geometric monotones of violations of quantum realism
• Correlating Local Quantum Reality with Causally Disconnected Choices