dorsal/arxiv
View SchemaQuantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information
| Authors | Robin Blume-Kohout, W. H. Zurek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505031 |
| URL | https://arxiv.org/abs/quant-ph/0505031 |
| DOI | 10.1103/PhysRevA.73.062310 |
| Journal | Phys. Rev. A 73, 062310 (2006) |
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.
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"abstract": "We lay a comprehensive foundation for the study of redundant information\nstorage in decoherence processes. Redundancy has been proposed as a\nprerequisite for objectivity, the defining property of classical objects. We\nconsider two ensembles of states for a model universe consisting of one system\nand many environments: the first consisting of arbitrary states, and the second\nconsisting of ``singly-branching\u0027\u0027 states consistent with a simple decoherence\nmodel. Typical states from the random ensemble do not store information about\nthe system redundantly, but information stored in branching states has a\nredundancy proportional to the environment\u0027s size. We compute the specific\nredundancy for a wide range of model universes, and fit the results to a simple\nfirst-principles theory. Our results show that the presence of redundancy\ndivides information about the system into three parts: classical (redundant);\npurely quantum; and the borderline, undifferentiated or ``nonredundant,\u0027\u0027\ninformation.",
"arxiv_id": "quant-ph/0505031",
"authors": [
"Robin Blume-Kohout",
"W. H. Zurek"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.062310",
"journal_ref": "Phys. Rev. A 73, 062310 (2006)",
"title": "Quantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information",
"url": "https://arxiv.org/abs/quant-ph/0505031"
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