Genuine tripartite entanglement monotone of $(2\otimes 2\otimes n)-$ dimensional systems

Abstract

A genuine tripartite entanglement monotone is presented for $(2\otimes 2\otimes n)$-dimensional tripartite pure states by introducing a new entanglement measure for bipartite pure states. As an application, we consider the genuine tripartite entanglement of the ground state of the exactly solvable isotropic spin-1/2 chain with three-spin interaction. It is shown that the singular behavior of the genuine tripartite entanglement exactly signals a quantum phase transition.

arXiv comment5 pages

References in corpus (15)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Three qubits can be entangled in two inequivalent ways
• Distributed Entanglement
• Global entanglement in multiparticle systems
• Fidelity and Concurrence of conjugated states
• Decoherence and multipartite entanglement
• A potential multipartide entanglement measure
• Classification of multipartite entangled states by multidimensional determinants
• Constructing N-qubit entanglement monotones from anti-linear operators
• Variational Characterisations of Separability and Entanglement of Formation
• Entanglement and Quantum Phase Transition Revisited
• Multipartite entanglement in 2 x 2 x n quantum systems
• Separability Criterion of Tripartite Qubit Systems
• Global Entanglement for Multipartite Quantum States
• Existence Criterion of Genuine Tripartite Entanglement

Cited by in corpus (8)

• Multipartite entanglement in heterogeneous systems
• Bipartite concurrence and localized coherence
• Multipartite Entanglement Accumulation in Quantum States: Localizable Generalized Geometric Measure
• Evolution of entanglement for quantum mixed states
• Quantum k-uniform states for heterogeneous systems from irredundant mixed orthogonal arrays
• Quantum correlation via quantum coherence
• Existence of locally maximally entangled quantum states via geometric invariant theory
• Constructions of $k$-uniform states from mixed orthogonal arrays