Quantum systems generally exhibit different kinds of correlations. In order to compare them on equal footing, one uses the so-called distance-based approach where different types of correlations are captured by the distance to different sets of states. However, these quantifiers are usually hard to compute as their definition involves optimization aiming to find the closest states within the set. On the other hand, negativity is one of the few computable entanglement monotones, but its comparison with other correlations required further justification. Here we place negativity as part of a family of correlation measures that has a distance-based construction. We introduce a suitable distance, discuss the emerging measures and their applications, and compare them to relative entropy-based correlation quantifiers. This work is a step towards correlation measures that are simultaneously comparable and computable.
 G. Adesso, T. R. Bromley, and M. Cianciaruso, J. Phys. A: Math. Theor. 49, 473001 (2016).
 K. Modi, T. Paterek, W. Son, V. Vedral, and M. Williamson, Phys. Rev. Lett. 104, 080501 (2010).
 C. Eltschka and J. Siewert, Phys. Rev. Lett. 111, 100503 (2013).
 T. R. Bromley, M. Cianciaruso, R. L. Franco, and G. Adesso, J. Phys. A: Math. Theor. 47, 405302 (2014).
 W. Roga, D. Spehner, and F. Illuminati, J. Phys. A: Math. Theor. 49, 235301 (2016).
 X. Wang and M. M. Wilde, Phys. Rev. Lett. 125, 040502 (2020a).
 C. Helstrom, Quantum detection and estimation theory (Academic Press, New York, 1976).
 K. Zyczkowski and H.-J. Sommers, J. Phys. A: Math. Gen. 34, 7111 (2001).
 M. W. Girard, G. Gour, and S. Friedland, J. Phys. A: Math. Theor. 47, 505302 (2014).
 B. Aaronson, R. L. Franco, G. Compagno, and G. Adesso, New J. Phys. 15, 093022 (2013).
 Á. Rivas, S. F. Huelga, and M. B. Plenio, Rep. Prog. Phys. 77, 094001 (2014).
 H.-P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. 103, 210401 (2009).
 B. Bylicka, M. Johansson, and A. Acín, Phys. Rev. Lett. 118, 120501 (2017).
 Mirko Consiglio, Tony J. G. Apollaro, and Marcin Wieśniak, "Variational approach to the quantum separability problem", Physical Review A 106 6, 062413 (2022).
 Mikhail A. Yurischev and Saeed Haddadi, "Local quantum Fisher information and local quantum uncertainty for general X states", Physics Letters A 476, 128868 (2023).
The above citations are from Crossref's cited-by service (last updated successfully 2023-11-29 17:36:30) and SAO/NASA ADS (last updated successfully 2023-11-29 17:36:31). The list may be incomplete as not all publishers provide suitable and complete citation data.
This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.