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• W1679035730 abstract "Abstract The existence of observables that are incompatible or not jointly measurable is a characteristic feature of quantum mechanics, which lies at the root of a number of nonclassical phenomena, such as uncertainty relations, wave—particle dual behavior, Bell-inequality violation and contextuality. However, no intuitive criterion is available for determining the compatibility of even two (generalized) observables, despite the overarching importance of this problem and intensive efforts of many researchers. Here we introduce an information theoretic paradigm together with an intuitive geometric picture for decoding incompatible observables, starting from two simple ideas: Every observable can only provide limited information and information is monotonic under data processing. By virtue of quantum estimation theory, we introduce a family of universal criteria for detecting incompatible observables and a natural measure of incompatibility, which are applicable to arbitrary number of arbitrary observables. Based on this framework, we derive a family of universal measurement uncertainty relations, provide a simple information theoretic explanation of quantitative wave—particle duality and offer new perspectives for understanding Bell nonlocality, contextuality and quantum precision limit." @default.
• W1679035730 created "2016-06-24" @default.
• W1679035730 creator A5041994729 @default.
• W1679035730 date "2015-09-22" @default.
• W1679035730 modified "2023-10-02" @default.
• W1679035730 title "Information complementarity: A new paradigm for decoding quantum incompatibility" @default.
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• W1679035730 doi "https://doi.org/10.1038/srep14317" @default.
• W1679035730 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/4585721" @default.
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• W1679035730 hasPublicationYear "2015" @default.
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