Geometric interpretation of the geometric discord

DOI10.1016/J.PHYSLETA.2011.11.047zbMath1255.81080arXiv1303.4827OpenAlexW1991191127MaRDI QIDQ1933101

Yao Yao, Zheng-Fu Han, Zhen-Qiang Yin, Hong-Wei Li

Publication date: 22 January 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4827

zbMATH Keywords

geometric discordlevel surfaceschannel decoherence

Mathematics Subject Classification ID

Channel models (including quantum) in information and communication theory (94A40) Quantum coherence, entanglement, quantum correlations (81P40) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (13)

Revival and robustness of Bures distance discord under decoherence channels ⋮ Geometric measure of quantum discord with weak measurements ⋮ Geometry and dynamics of one-norm geometric quantum discord ⋮ Geometric quantum discord under noisy environment ⋮ Sudden change of local quantum uncertainty and geometry for arbitrary two-qubit X-states ⋮ Geometric discord of GHZ state under decoherence ⋮ Decoherence dynamics of geometric measure of quantum discord and measurement induced nonlocality for noninertial observers at finite temperature ⋮ Geometric discord of non-X-structured state under decoherence channels ⋮ Dynamics of the geometric measure of quantum discord and Bell non-locality in a ring cavity induced by spontaneous emission ⋮ Analytic symmetric information-theoretical discord for one class of two-qubit states ⋮ Geometric discord for multiqubit systems ⋮ Interplay between coherence and mixedness as well as its geometry for arbitrary two-qubit X-states ⋮ Monogamy of quantum discord for multiqubit systems

Cites Work

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• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• Classical, quantum and total correlations
• Quantum entanglement
• Necessary and Sufficient Condition for Nonzero Quantum Discord
• Geometric measure of quantum discord
• Entanglement of Formation of an Arbitrary State of Two Qubits

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