Quantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information
- Creators
- Blume-Kohout, Robin
- Zurek, Wojciech H.
Abstract
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.
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.Files
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Additional details
- Eprint ID
- 5053
- Resolver ID
- CaltechAUTHORS:BLUpra06
- Created
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2006-09-25Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field