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

By Robin Blume-Kohout, Wojciech H. Zurek. 2005

200 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/05e8a958bde4358bcca2da25526ede108a65fccd

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum decoherence (2019, background): “Quantum mutual information generalizes this concept and is defined as [5, 90, 91]”
Quantum Darwinism (2009, background): “In the family of models representing spin S surrounded by environments of many spins [12, 13, 14] the same number of spins suffices to reach the plateau: Adding more spins to E only extends length of the plateau measured in “absolute units” – in the number of the environment spins.”
Between classical and quantum (2005, background): “This point was not lost on Bohr and Heisenberg either; see Scheibe (1973). 16The insistence on “precision” in such literature is reminiscent of Planck’s long-held belief in the absolute nature of irreversibility (Darrigol, 1992; Heilbron, 2002).”