Quantum realism: axiomatization and quantification

Abstract

The emergence of an objective reality in line with the laws of the microscopic world has been the focus of longstanding debates. Recent approaches seem to have reached a consensus at least with respect to one aspect, namely, that the encoding of information about a given observable in a physical degree of freedom is a necessary condition for such observable to become an element of the physical reality. Taking this as a fundamental premise and inspired by quantum information theory, here we build an axiomatization for quantum realism -- a notion of realism compatible with quantum theory. Our strategy consists of listing some physically-motivated principles able to characterize quantum realism in a ``metric'' independent manner. We introduce some criteria defining monotones and measures of realism and then search for potential candidates within some celebrated information theories -- those induced by the von Neumann, Rényi, and Tsallis entropies. We explicitly construct some classes of entropic quantifiers that are shown to satisfy (almost all of) the proposed axioms and hence can be taken as faithful estimates for the degree of reality (or definiteness) of a given physical observable. Hopefully, our framework may offer a formal ground for further discussions on foundational aspects of quantum mechanics.

arXiv comment15 pages, 4 figures

References in corpus (53)

• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Quantifying Coherence
• Bell nonlocality
• Quantum Coherence as a Resource
• Significant-loophole-free test of Bell's theorem with entangled photons
• A strong loophole-free test of local realism
• Quantum Resource Theories
• On quantum Renyi entropies: a new generalization and some properties
• Quantum Darwinism
• Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Renyi relative entropy
• Min- and Max- Relative Entropies and a New Entanglement Monotone
• How Quantum Mechanics can consistently describe the use of itself
• Quantum theory cannot consistently describe the use of itself
• Quantum Information Processing with Finite Resources -- Mathematical Foundations
• A double-slit quantum eraser
• A Fully Quantum Asymptotic Equipartition Property
• Sandwiched Rényi Divergence Satisfies Data Processing Inequality
• Assisted distillation of quantum coherence
• A strong no-go theorem on the Wigner's friend paradox
• Monotonicity of a relative Rényi entropy
• Quantum-coherence quantifiers based on the Tsallis relative $\alpha$-entropies
• Cosmic Bell Test using Random Measurement Settings from High-Redshift Quasars
• Quantum hypothesis testing and the operational interpretation of the quantum Renyi relative entropies
• Quantum f-divergences and error correction
• A no-go theorem for observer-independent facts
• On the quantum Renyi relative entropies and related capacity formulas
• Fundamental bound on the reliability of quantum information transmission
• On the strong converses for the quantum channel capacity theorems
• Loophole-free Bell test using electron spins in diamond: second experiment and additional analysis
• Testing Local Realism into the Past without Detection and Locality Loopholes
• Interpretations of quantum theory: A map of madness
• Relating different quantum generalizations of the conditional Renyi entropy
• Multiplicativity of completely bounded $p$-norms implies a strong converse for entanglement-assisted capacity
• Revealing the emergence of classicality in nitrogen-vacancy centers
• Quantum non-locality - It ain't necessarily so...
• Wave-particle duality: an information-based approach
• A measure of physical reality
• Experimental signature of Quantum Darwinism in photonic cluster states
• Information-reality complementarity: The role of measurements and quantum reference frames
• A limit of the quantum Renyi divergence
• Experimental assessment of physical realism in a quantum-controlled device
• Monotonic decrease of the quantum nonadditive divergence by projective measurements
• Nonanomalous measure of realism-based nonlocality
• Nonlocality, quantum correlations, and violations of classical realism in the dynamics of two noninteracting quantum walkers
• From the sandwiched quantum relative Tsallis entropy to its conditional form: Separability criterion beyond local and global spectra
• Flag Additivity in Quantum Resource Theories
• Bayes' rule, generalized discord, and nonextensive thermodynamics
• Hardy's paradox as a demonstration of quantum irrealism
• Resilience of realism-based nonlocality to local disturbance
• Realism-information complementarity in photonic weak measurements
• Information-based approach towards a unified resource theory
• Tripartite realism-based quantum nonlocality
• Decomposition Rules for Quantum Rényi Mutual Information with an Application to Information Exclusion Relations

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• High-dimensional monitoring and the emergence of realism via multiple observers
• Geometric monotones of violations of quantum realism
• Quantum observable's reality erasure with spacelike-separated operations
• Correlating Local Quantum Reality with Causally Disconnected Choices
• Axiomatic approach to measures of total correlations
• Two-time quantities as elements of physical reality