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Quantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information

Blume-Kohout, Robin and Zurek, Wojciech H. (2006) Quantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information. Physical Review A, 73 . Art. No. 062310. ISSN 1050-2947.

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We lay a comprehensive foundation for the study of redundant information storage in decoherence processes. Redundancy has been proposed as a prerequisite for objectivity, the defining property of classical objects. We consider two ensembles of states for a model universe consisting of one system and many environments: the first consisting of arbitrary states, and the second consisting of "singly branching" states consistent with a simple decoherence model. Typical states from the random ensemble do not store information about the system redundantly, but information stored in branching states has a redundancy proportional to the environment's size. We compute the specific redundancy for a wide range of model universes, and fit the results to a simple first-principles theory. Our results show that the presence of redundancy divides information about the system into three parts: classical (redundant); purely quantum; and the borderline, undifferentiated or "nonredundant," information.

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Additional Information:©2006 The American Physical Society. Received 16 May 2005; revised 5 August 2005; published 8 June 2006. The authors thank Harold Ollivier and David Poulin for vigorous discussions and Mark Coffey for mathematical suggestions. This research was supported in part by NSA and ARDA.
Subject Keywords:quantum entanglement; information theory; random processes
Record Number:CaltechAUTHORS:BLUpra06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5053
Deposited By: Lindsay Cleary
Deposited On:25 Sep 2006
Last Modified:02 Oct 2019 23:18

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