Conditional decoupling of quantum information
File(s)
Author(s)
Berta, M
Brandão, FGSL
Majenz, C
Wilde, MM
Type
Journal Article
Abstract
Insights from quantum information theory show that correlation measures based on quantum entropy are fundamental tools that reveal the entanglement structure of multipartite states. In that spirit, Groisman, Popescu, and Winter [Phys. Rev. A 72, 032317 (2005)PLRAAN1050-294710.1103/PhysRevA.72.032317] showed that the quantum mutual information I(A;B) quantifies the minimal rate of noise needed to erase the correlations in a bipartite state of quantum systems AB. Here, we investigate correlations in tripartite systems ABE. In particular, we are interested in the minimal rate of noise needed to apply to the systems AE in order to erase the correlations between A and B given the information in system E, in such a way that there is only negligible disturbance on the marginal BE. We present two such models of conditional decoupling, called deconstruction and conditional erasure cost of tripartite states ABE. Our main result is that both are equal to the conditional quantum mutual information I(A;B|E) - establishing it as an operational measure for tripartite quantum correlations.
Date Issued
2018-07-27
Date Acceptance
2018-07-01
Citation
Physical Review Letters, 2018, 121 (4)
ISSN
0031-9007
Publisher
American Physical Society
Journal / Book Title
Physical Review Letters
Volume
121
Issue
4
Copyright Statement
© 2018 American Physical Society
Subjects
quant-ph
quant-ph
cond-mat.stat-mech
cs.IT
hep-th
math.IT
General Physics
02 Physical Sciences
Publication Status
Published
Article Number
040504
Date Publish Online
2018-07-27