Generalized Entropy and Global Quantum Discord in Multi-party Quantum systems

Abstract

Using Tsallis-q entropy, we introduce the generalized concept of global quantum discord, namely the q-global quantum discord, and provide its analytic evaluation for two classes of multi-qubit states. We also provide a sufficient condition, for which the pairwise quantum correlations in terms of q-global quantum discord is monogamous in multi-party quantum systems.

11 pages, 1 figure

References in corpus (11)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Classical and quantum correlations under decoherence
• On the role of entanglement and correlations in mixed-state quantum computation
• Is Entanglement Monogamous?
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Quantum Correlation Without Classical Correlations
• Unified entropy, entanglement measures and monogamy of multi-party entanglement
• Generalized entropic criterion for separability
• Monogamy of Quantum Discord by Multipartite Correlations
• Geometric phase of an atom in a magnetic storage ring
• Global Quantum discord of multi-qubit states

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• Quantum discord and its allies: a review
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• Geometric global quantum discord of two-qubit X states
• Monogamy relations and upper bounds for the generalized $W$-class states using Rényi-$\alpha$ entropy
• Tsallis entropy, $q$-expectation and constraints on three-party quantum correlations
• Polygamy of multi-party $q$-expected quantum entanglement
• What bipartite states are lazy
• Tighter monogamy and polygamy relations using Rényi-$\alpha$ entropy
• Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance