Amplification, Decoherence, and the Acquisition of Information by Spin Environments

Abstract

Quantum Darwinism recognizes the role of the environment as a communication channel: Decoherence can selectively amplify information about the pointer states of a system of interest (preventing access to complementary information about their superpositions) and can make records of this information accessible to many observers. This redundancy explains the emergence of objective, classical reality in our quantum Universe. Here, we demonstrate that the amplification of information in realistic spin environments can be quantified by the quantum Chernoff information, which characterizes the distinguishability of partial records in individual environment subsystems. We show that, except for a set of initial states of measure zero, the environment always acquires redundant information. Moreover, the Chernoff information captures the rich behavior of amplification in both finite and infinite spin environments, from quadratic growth of the redundancy to oscillatory behavior. These results will considerably simplify experimental testing of quantum Darwinism, e.g., using nitrogen vacancies in diamond.

10 pages, 5 figures

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• Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons
• Roads to objectivity: Quantum Darwinism, Spectrum Broadcast Structures, and Strong quantum Darwinism -- a review
• Eavesdropping on the Decohering Environment: Quantum Darwinism, Amplification, and the Origin of Objective Classical Reality
• Collisional unfolding of quantum Darwinism
• The role of information back-flow in the emergence of quantum Darwinism
• Demonstration of entanglement assisted invariance on IBM's Quantum Experience
• Redundancy of einselected information in quantum Darwinism: The irrelevance of irrelevant environment bits
• Objectivity (or lack there of): a comparison between predictions of quantum Darwinism and spectrum broadcast structure
• Quantum Darwinism in a structured spin environment
• (Anti-)Zeno-based dynamical control of the unfolding of quantum Darwinism
• Witnessing non-objectivity in the framework of strong quantum Darwinism
• System information propagation for spin structures
• Amplification, inference, and the manifestation of objective classical information
• Experimental quantum decoherence control by dark states of the environment
• Emergence of Objectivity for Quantum Many-Body Systems
• Quantum Darwinism and the spreading of classical information in non-classical theories
• Decoherence: From Interpretation to Experiment
• Encoding position by spins: Objectivity in the boson-spin model
• On the relation between quantum Darwinism and approximate quantum Markovianity
• Derive the Born's rule from environment-induced stochastic dynamics of wave-functions in an open system
• Holevo bound and objectivity in the boson-spin model
• Commutativity and the emergence of classical objectivity