Renyi generalizations of quantum information measures
File(s)
Accepted version
Author(s)
Berta, Mario
Seshadreesan, Kaushik P
Wilde, Mark M
Type
Journal Article
Abstract
Quantum information measures such as the entropy and the mutual information find applications in physics, e.g., as correlation measures. Generalizing such measures based on the Rényi entropies is expected to enhance their scope in applications. We prescribe Rényi generalizations for any quantum information measure which consists of a linear combination of von Neumann entropies with coefficients chosen from the set {−1,0,1}. As examples, we describe Rényi generalizations of the conditional quantum mutual information, some quantum multipartite information measures, and the topological entanglement entropy. Among these, we discuss the various properties of the Rényi conditional quantum mutual information and sketch some potential applications. We conjecture that the proposed Rényi conditional quantum mutual informations are monotone increasing in the Rényi parameter, and we have proof of this conjecture for some special cases.
Date Issued
2015-02-27
Date Acceptance
2014-12-23
Citation
PHYSICAL REVIEW A, 2015, 91 (2)
ISSN
2469-9926
Publisher
American Physical Society
Journal / Book Title
PHYSICAL REVIEW A
Volume
91
Issue
2
Copyright Statement
© 2015 American Physical Society. Phys. Rev. A 91, 022333, https://dx.doi.org/10.1103/PhysRevA.91.022333
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000350255200008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Optics
Physics, Atomic, Molecular & Chemical
Physics
SQUASHED ENTANGLEMENT
STRONG SUBADDITIVITY
STRONG CONVERSE
CODING THEOREM
ENTROPY
CHANNEL
AREA
CAPACITY
STATES
Publication Status
Published
Article Number
ARTN 022333
Date Publish Online
2015-02-27