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Unifying Typical Entanglement and Coin Tossing: on Randomization in Probabilistic Theories

Abstract:

It is well-known that pure quantum states are typically almost maximally entangled, and thus have close to maximally mixed subsystems. We consider whether this is true for probabilistic theories more generally, and not just for quantum theory. We derive a formula for the expected purity of a subsystem in any probabilistic theory for which this quantity is well-defined. It applies to typical entanglement in pure quantum states, coin tossing in classical probability theory, and randomization in...

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Publication status:
Published

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Publisher copy:
10.1007/s00220-012-1605-x

Authors


Mueller, MP More by this author
Dahlsten, OCO More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Atomic and Laser Physics
Journal:
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume:
316
Issue:
2
Pages:
441-487
Publication date:
2012-12-05
DOI:
EISSN:
1432-0916
ISSN:
0010-3616
URN:
uuid:4db50410-f1c0-4a2c-b743-3ac8897746c4
Source identifiers:
366878
Local pid:
pubs:366878
Language:
English

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