Lower Bounds of Concurrence for Tripartite Quantum Systems

Abstract

We derive an analytical lower bound for the concurrence of tripartite quantum mixed states. A functional relation is established relating concurrence and the generalized partial transpositions.

10 pages

References in corpus (23)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• Separability Criterion for Density Matrices
• Separability of Mixed States: Necessary and Sufficient Conditions
• Scaling of Entanglement close to a Quantum Phase Transitions
• Generalized Schmidt decomposition and classification of three-quantum-bit states
• Quantum Phase Transitions and Bipartite Entanglement
• Characterizing Entanglement
• Distinguishing separable and entangled states
• Entangled Quantum States of Magnetic Dipoles
• Concurrence of arbitrary dimensional bipartite quantum states
• Separability and distillability of multiparticle quantum systems
• Concurrence of mixed bipartite quantum states in arbitrary dimensions
• Some Properties of the Computable Cross Norm Criterion for Separability
• Reflections upon separability and distillability
• Variational Characterisations of Separability and Entanglement of Formation
• Entanglement of Formation of Bipartite Quantum States
• The generalized partial transposition criterion for separability of multipartite quantum states
• Generalized reduction criterion for separability of quantum states
• Lower Bound on Entanglement of Formation for the Qubit-Qudit System
• Test for entanglement using physically observable witness operators and positive maps
• Separability Criterion of Tripartite Qubit Systems
• Entanglement of 2xK quantum systems

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• Measuring Coherence with Entanglement Concurrence
• A lower bound of concurrence for multipartite quantum states
• Bound of Entanglement of Assistance and Monogamy Constraints
• Genuine multipartite entanglement detection and lower bound of multipartite concurrence
• Experimental Determination of Entanglement for Arbitrary Pure States
• Quantum Entanglement: Separability, Measure, Fidelity of Teleportation and Distillation
• Quantum coherence and entanglement preservation in Markovian and non-Markovian dynamics via additional qubits
• Inequalities Detecting Quantum Entanglement for $2\otimes d$ Systems
• Lower Bound of Concurrence for Qubit Systems
• Three-tangle for high-rank mixed states
• Lower Bound of Multipartite Concurrence Based on Sub-quantum State Decomposition
• Towards Tripartite Hybrid Entanglement in Quantum Dot Molecules
• Correlation dynamics of three spin under a classical dephasing environment
• A new bound of concurrence
• Triangle inequalities in coherence measures and entanglement concurrence
• Bounds for multipartite concurrence
• Lower bound on concurrence for arbitrary-dimensional tripartite quantum systems
• A Note on Quantum Entanglement and PPT
• Projection based lower bounds of concurrence for multipartite quantum systems
• Computable constraints on entanglement-sharing of multipartite quantum states