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Quantum discord and one-norm geometric quantum discord for XXX Heisenberg spin chain under noisy channels

2014/01/18 by E. Faizi, Faizi, E., H. Eftekhari +1
Computer Science · Physics and Astronomy · #81Sxx #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum many-body systems

paper · pdf · doi:10.48550/arxiv.1401.4571

openalex publication_date 2014/01/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Here, we compare the behavior of the quantum discord, 1-norm geometric quantum discord and concurrence under the effect of decoherence for XXX Heisenberg spin chain. Their dependencies on temperature and coupling constant are presented in detail. By a comparison between them we can see that quantum discord and 1-norm geometric quantum discord are more robust than the concurrence against decoherence in the sense that quantum discord and 1-norm geometric quantum discord takes a nonzero value and decrease asymptotically, while the concurrence is zero in a large range of parameters including temperature and coupling constant. Moreover, we find that there is no simple relative ordering between 1-norm geometric quantum discord and quantum discord. This result contradicts the information which provided in some papers.

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