Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00220-012-1605-x
DC FieldValue
dc.titleUnifying Typical Entanglement and Coin Tossing: On Randomization in Probabilistic Theories
dc.contributor.authorMüller, M.P.
dc.contributor.authorDahlsten, O.C.O.
dc.contributor.authorVedral, V.
dc.date.accessioned2014-10-16T09:48:06Z
dc.date.available2014-10-16T09:48:06Z
dc.date.issued2012
dc.identifier.citationMüller, M.P., Dahlsten, O.C.O., Vedral, V. (2012). Unifying Typical Entanglement and Coin Tossing: On Randomization in Probabilistic Theories. Communications in Mathematical Physics 316 (2) : 441-487. ScholarBank@NUS Repository. https://doi.org/10.1007/s00220-012-1605-x
dc.identifier.issn00103616
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/98522
dc.description.abstractIt 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 post-quantum theories; a simple generalization yields the typical entanglement in (anti)symmetric quantum subspaces. The formula is exact and simple, only containing the number of degrees of freedom and the information capacity of the respective systems. It allows us to generalize statistical physics arguments in a way which depends only on coarse properties of the underlying theory. The proof of the formula generalizes several randomization notions to general probabilistic theories. This includes a generalization of purity, contributing to the recent effort of finding appropriate generalized entropy measures. © 2012 Springer-Verlag Berlin Heidelberg.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s00220-012-1605-x
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1007/s00220-012-1605-x
dc.description.sourcetitleCommunications in Mathematical Physics
dc.description.volume316
dc.description.issue2
dc.description.page441-487
dc.identifier.isiut000310890000006
Appears in Collections:Staff Publications

Show simple item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

21
checked on Jan 27, 2023

WEB OF SCIENCETM
Citations

20
checked on Jan 27, 2023

Page view(s)

132
checked on Jan 26, 2023

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.