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

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  • 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.
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  • Zwolak, M., Riedel, C. J., & Zurek, W. H. (2016). Amplification, Decoherence, and the Acquisition of Information by Spin Environments. Scientific Reports, 6, 25277. doi:10.1038/srep25277
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  • 6
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  • Research at the Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation. This research was supported in part by the US Department of Energy through the LANL/LDRD Program and, in part, by the John Templeton Foundation and the Foundational Questions Institute Grant No. 2015-144057 on "Physics of What Happens".
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