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Cited by 275

The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.

Geometric quantum discord through the Schatten 1-norm

Open access
Paula, F. M., de Oliveira, Thiago R., Sarandy, M. S.·2013·Physical Review A
DOI 10.1103/physreva.87.064101
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Abstract

It has recently been pointed out that the geometric quantum discord, as defined by the Hilbert-Schmidt norm (2-norm), is not a good measure of quantum correlations, since it may increase under local reversible operations on the unmeasured subsystem. Here, we revisit the geometric discord by considering general Schatten $p$-norms, explicitly showing that the 1-norm is the only $p$-norm able to define a consistent quantum correlation measure. In addition, by restricting the optimization to the tetrahedron of two-qubit Bell-diagonal states, we provide an analytical expression for the 1-norm geometric discord, which turns out to be equivalent to the negativity of quantumness. We illustrate the measure by analyzing its monotonicity properties.

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Metadata

Authors
Paula, F. M., de Oliveira, T. R., & Sarandy, M. S.
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2013-06-07
Volume
87
Issue
6
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.87.064101
OpenAlex
W2011728878
Cited by
275
References
31
FWCI
36.07
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Geometric quantum discord through the Schatten 1-norm. https://app.cochat.ai/papers/10.1103/physreva.87.064101
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Paula, F. M., de Oliveira, T. R., & Sarandy, M. S. (2013). Geometric quantum discord through the Schatten 1-norm. Physical Review A. https://doi.org/10.1103/physreva.87.064101

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