Emergence of noncontextuality under quantum Darwinism

Abstract

Quantum Darwinism proposes that the proliferation of redundant information plays a major role in the emergence of objectivity out of the quantum world. Is this kind of objectivity necessarily classical? We show that if one takes Spekkens' notion of noncontextuality as the notion of classicality and the approach of Brandão, Piani and Horodecki to quantum Darwinism, the answer to the above question is `yes', if the environment encodes sufficiently well the proliferated information. Moreover, we propose a threshold on this encoding, above which one can unambiguously say that classical objectivity has emerged under quantum Darwinism.

arXiv commentEssentially the accepted version. Enhanced clarity, but main results stand the same. Addition of two new subsections: 1- a cutoff for classical objectivity 2-state spectrum broadcasting case (+ the relative subsections to the appendix). For the final version, please look at PRX Quantum. 8 pages, 2 figures in the main text + 7 pages, 1 figure in the Appendix. Comments are welcome!

References in corpus (39)

• Decoherence, einselection, and the quantum origins of the classical
• Bell nonlocality
• On the reality of the quantum state
• Contextuality for preparations, transformations, and unsharp measurements
• Contextuality supplies the magic for quantum computation
• Is the quantum state real? An extended review of $\psi$-ontology theorems
• Negativity and contextuality are equivalent notions of nonclassicality
• Contextuality in Measurement-based Quantum Computation
• Preparation contextuality powers parity-oblivious multiplexing
• Geometry of the set of quantum correlations
• The contextual fraction as a measure of contextuality
• Generalized Probability Theories: What determines the structure of quantum theory?
• Reconstruction of Gaussian quantum mechanics from Liouville mechanics with an epistemic restriction
• Generic emergence of classical features in quantum Darwinism
• Environment as a Witness: Selective Proliferation of Information and Emergence of Objectivity in a Quantum Universe
• Contextual advantage for state discrimination
• Quantum origins of objectivity
• From the Kochen-Specker theorem to noncontextuality inequalities without assuming determinism
• Certifying quantum signatures in thermodynamics and metrology via contextuality of quantum linear response
• Optimal bounds for parity-oblivious random access codes
• The Characterization of Noncontextuality in the Framework of Generalized Probabilistic Theories
• State independent contextuality advances one-way communication
• Strong Quantum Darwinism and Strong Independence is equivalent to Spectrum Broadcast Structure
• All the noncontextuality inequalities for arbitrary prepare-and-measure experiments with respect to any fixed sets of operational equivalences
• No Return to Classical Reality
• Quantum Advantage from Sequential-Transformation Contextuality
• Contextual advantage for state-dependent cloning
• Optimal quantum preparation contextuality in $n$-bit parity-oblivious multiplexing task
• Preparation contextuality as an essential feature underlying quantum communication advantage
• Non-Markovianity hinders Quantum Darwinism
• Monitoring of the process of system information broadcasting in time
• Resource theory of contextuality for arbitrary prepare-and-measure experiments
• From statistical proofs of the Kochen-Specker theorem to noise-robust noncontextuality inequalities
• Redundancy of einselected information in quantum Darwinism: The irrelevance of irrelevant environment bits
• Contextuality of general probabilistic theories
• Beyond the Cabello-Severini-Winter framework: Making sense of contextuality without sharpness of measurements
• Quantum Darwinism and non-Markovianity in a model of quantum harmonic oscillators
• Hypergraph framework for irreducible noncontextuality inequalities from logical proofs of the Kochen-Specker theorem
• Unsharp pointer observables and the structure of decoherence