To freeze or not to: Quantum correlations under local decoherence

Abstract

We provide necessary and sufficient conditions for freezing of quantum correlations as measured by quantum discord and quantum work deficit in the case of bipartite as well as multipartite states subjected to local noisy channels. We recognize that inhomogeneity of the magnetizations of the shared quantum states plays an important role in the freezing phenomena. We show that the frozen value of the quantum correlation and the time interval for freezing follow a complementarity relation. For states which do not exhibit "exact" freezing, but can be frozen "effectively", by having a very slow decay rate with suitable tuning of the state parameters, we introduce an index -- the freezing index -- to quantify the goodness of freezing. We find that the freezing index can be used to detect quantum phase transitions and discuss the corresponding scaling behavior.

14 pages, 9 figures, close to published version, title changed by Phys. Rev. A. to 'Freezing of quantum correlations under local decoherence'

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Cited by in corpus (15)

• Quantum discord and its allies: a review
• Conclusive Identification of Quantum Channels via Monogamy of Quantum Correlations
• Scale-invariant freezing of entanglement
• Reducing Computational Complexity of Quantum Correlations
• Universal freezing of asymmetry
• The sudden change phenomenon of quantum discord
• Adiabatic freezing of long-range quantum correlations in spin chains
• Metastable decoherence-free subspace and pointer states in mesoscopic quantum systems
• Adiabatic freezing of entanglement with insertion of defects in a one-dimensional Hubbard model
• Analytically Computable Symmetric Quantum Correlations
• Frozen and Invariant Quantum Discord under Local Dephasing Noise
• One-way quantum deficit for $2\otimes d$ systems
• Recovery of resources through sequential noisy measurements
• Bimodal behavior of post-measured entropy and one-way quantum deficit for two-qubit X states
• Imperfect Entangling Power of Quantum Gates