bibkey: jakobczyk2016maximalmutual
authors: Lech Jakóbczyk
year: 2016
title: "Maximal mutual correlation: an algebraic measure of correlations in bipartite quantum systems"
doi: null
url: https://arxiv.org/abs/1607.06585v1
claim: "The paper studies the maximal mutual correlation C_M of bipartite quantum states, proves that C_M dominates the trace-norm geometric discord D_1 for Bell-diagonal two-qubit states, and conjectures that the inequality holds for all two-qubit states."
strata_touched:
  - D5/S3/Quantum/Information/TraceNormDiscordMutualCorrelationBound
license: citation-only
triage: anchor

Maximal mutual correlation: an algebraic measure of correlations in bipartite quantum systems

Lech Jakóbczyk, arXiv:1607.06585v1 (quant-ph), 2016. Quotations are from the v1 TeX source.

The statement (abstract):

In the states containing some quantum correlations, maximal mutual correlation is always greater or equal to geometric measure of quantum discord. This relation is proved to be valid in the class of Bell - diagonal states and it is conjectured that is also true for general two - qubit states.

The trace-norm geometric discord:

D_{1}(\ro)=\min\limits_{\PP^{\cA}},||\ro-\PP^{\cA}(\ro)||_{1},

where ${\text{PP}}^{\text{cA}}$ is the projective measurement on subsystem $\text{cA}$ i.e. \PP^{\cA}(\ro)=\sum\limits_{k}(P_{k}\otimes \I),\ro,(P_{k}\otimes \I).

Verified locator

• URL: https://arxiv.org/abs/1607.06585v1 (source max_mutual_corr.tex, md5 37a5a6d6667d77c6c977069366f0bfce):
  • the title, l. 71;
  • the abstract statement, l. 131–136;
  • D₁ and the measurement, l. 272–283;
  • the Bell-diagonal proof, l. 545–576.
• The arXiv record has only v1; no journal version was found by a Crossref bibliographic search.