Efficient numerical method to calculate three-tangle of mixed states

Abstract

We demonstrate an efficient numerical method to calculate three-tangle of general mixed states. We construct a "energy function" (target function) for the three-tangle of the mixed state under certain constrains. The "energy function" (target function) is then optimized via a replica exchange Monte Carlo method. We have extensively tested the method for the examples with known analytical results, showing remarkable agreement. The method can be applied to other optimization problems in quantum information theory.

References in corpus (10)

• Distributed Entanglement
• Multidimensional replica-exchange method for free-energy calculations
• Fidelity and Concurrence of conjugated states
• Phase changes in 38 atom Lennard-Jones clusters. I: A parallel tempering study in the canonical ensemble
• Entangled three-qubit states without concurrence and three-tangle
• Three-tangle for mixtures of generalized GHZ and generalized W states
• Multipartite quantum correlation and entanglement in four-qubit pure states
• Three-Tangle for Rank-3 Mixed States: mixture of Greenberger-Horne-Zeilinger, W and flipped W states
• Does three-tangle properly quantify the three-party entanglement for Greenberger-Horne-Zeilinger-type states?
• Information-Theoretic Measure of Genuine Multi-Qubit Entanglement

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