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Quantum Information Processing
Erschienen in: Quantum Information Processing 1/2016

01.01.2016

Geometry and dynamics of one-norm geometric quantum discord

verfasst von: Zhiming Huang, Daowen Qiu, Paulo Mateus

Erschienen in: Quantum Information Processing | Ausgabe 1/2016

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Abstract

We investigate the geometry of one-norm geometric quantum discord and present a geometric interpretation of one-norm geometric quantum discord for a class of two-qubit states. It is found that one-norm geometric quantum discord has geometric behavior different from that described in Lang and Caves (Phys Rev Lett 105:150501, 2010), Li et al. (Phys Rev A 83:022321, 2011) and Yao et al. (Phys Lett A 376:358–364, 2012). We also compare the dynamics of the one-norm geometric quantum discord and other measures of quantum correlations under correlated noise. It is shown that different decoherent channels bring different influences to quantum correlations measured by concurrence, entropic quantum discord and geometric quantum discord, which depend on the memory parameter and decoherence parameter. We lay emphasis on the behaviors such as entanglement sudden death and sudden transition of quantum discord. Finally, we study the dynamical behavior of one-norm geometric quantum discord in one-dimensional anisotropic XXZ model by utilizing the quantum renormalization group method. It is shown that the one-norm geometric quantum discord demonstrates quantum phase transition through renormalization group approach.
Vorheriger Artikel Geometric measure of quantum discord with weak measurements
Nächster Artikel Attacks on quantum key distribution protocols that employ non-ITS authentication

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Metadaten
Titel
Geometry and dynamics of one-norm geometric quantum discord
verfasst von
Zhiming Huang
Daowen Qiu
Paulo Mateus
Publikationsdatum
01.01.2016
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 1/2016
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-015-1176-9

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