Separability Criterion of Tripartite Qubit Systems

Abstract

In this paper, we present a method to construct full separability criteria for tripartite systems of qubits. The spirit of our approach is that a tripartite pure state can be regarded as a three-order tensor that provides an intuitionistic mathematical formulation for the full separability of pure states. We extend the definition to mixed states and given out the corresponding full separability criterion. As applications, we discuss the separability of several bound entangled states, which shows that our criterion is feasible.

4 pages, 2 figures. to be published in Phys.Rev.A

References in corpus (4)

• Concurrence of mixed bipartite quantum states in arbitrary dimensions
• Complete hierarchies of efficient approximations to problems in entanglement theory
• Multipartite Entanglement Measure
• Free Entanglement Measure

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• Multipartite entanglement detection from correlation tensors
• Entanglement Monogamy of Tripartite Quantum States
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• Lower Bounds of Concurrence for Tripartite Quantum Systems
• Is "genuine multipartite entanglement" really genuine?
• Entanglement criteria and full separability of multi-qubit quantum states
• Global Entanglement for Multipartite Quantum States
• The Simple Criteria of SLOCC Equivalence Classes
• Lorentz invariance of entanglement classes in multipartite systems
• Characterizing Genuine Multisite Entanglement in Isotropic Spin Lattices
• Quantum correlation via quantum coherence
• Separability criteria based on Bloch representation of density matrices
• Genuine tripartite entanglement monotone of $(2\otimes 2\otimes n)-$ dimensional systems
• Polynomial method to study the entanglement of pure N-qubit states
• Quantum correlations in qutrit-qutrit systems under local quantum noise channels
• Unfolding quantum master equation into a system of real-valued equations: computationally effective expansion over the basis of $SU(N)$ generators
• Existence Criterion of Genuine Tripartite Entanglement
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• Full separability criterion for tripartite quantum systems
• Analytically Computable Symmetric Quantum Correlations
• Geometric Multiaxial Representation of N-qubit Mixed Symmetric Separable States