Measure and detection of genuine multipartite entanglement for tripartite systems

Abstract

It is a computationally hard task to certify genuine multipartite entanglement (GME). We investigate the relation between the norms of the correlation vectors and the detection of GME for tripartite quantum systems. A sufficient condition for GME and an effective lower bound for the GME concurrence are derived. Several examples are considered to show the effectiveness of the criterion and the lower bound of GME concurrence.

arXiv comment6 pages, 4 figures

References in corpus (41)

• Quantum entanglement
• Quantum Cryptography
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Quantum secret sharing
• Distributed Entanglement
• Entanglement detection
• How to share a quantum secret
• Measurement-based quantum computation
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Experimental Demonstration of Five-photon Entanglement and Open-destination Teleportation
• Fisher information and multiparticle entanglement
• Quantum telecloning and multiparticle entanglement
• Entanglement and Extreme Spin Squeezing
• Teleportation and Dense Coding with Genuine Multipartite Entanglement
• The Bloch Vector for N-Level Systems
• Decoherence and multipartite entanglement
• Taming multiparticle entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Measure of genuine multipartite entanglement with computable lower bounds
• Device-independent witnesses of genuine multipartite entanglement
• Detection of high-dimensional genuine multi-partite entanglement of mixed states
• Quantum Communication between N partners and Bell's inequalities
• Multipartite Entanglement Witnesses
• Entanglement of three-qubit Greenberger-Horne-Zeilinger-symmetric states
• Multipartite entanglement detection from correlation tensors
• Witnessing genuine multipartite entanglement with positive maps
• The entropy vector formalism and the structure of multidimensional entanglement in multipartite systems
• On the permutationally invariant part of a density matrix and nonseparability of N-qubit states
• Measuring Multipartite Concurrence with a Single Factorizable Observable
• Strong monogamy conjecture for multiqubit entanglement: The four-qubit case
• Measure of multipartite entanglement with computable lower bounds
• Determining lower bounds on a measure of multipartite entanglement from few local observables
• Further results on entanglement detection and quantification from the correlation matrix criterion
• Relaxations of separability in multipartite systems: Semidefinite programs, witnesses and volumes
• Characterizing multipartite entanglement without shared reference frames
• Improved lower bounds on genuine-multipartite-entanglement concurrence
• Quantum Separability Criteria for Arbitrary Dimensional Multipartite States
• An Experimentally accessible geometric measure for entanglement in $N$-qubit pure states
• Genuine multipartite entanglement detection and lower bound of multipartite concurrence
• Detecting genuine multipartite entanglement of pure states with bipartite correlations
• Bell inequalities for multipartite qubit quantum systems and their maximal violation

Cited by in corpus (22)

• Tripartite entanglement: Foundations and applications
• Genuine multipartite entanglement measure
• The norms of Bloch vectors and classification of four qudits quantum states
• Separability criteria based on Bloch representation of density matrices
• Quantum Fisher information-based detection of genuine tripartite entanglement
• Detection of Genuine Multipartite Entanglement in Multipartite Systems
• Efficient entanglement generation and detection of generalized stabilizer states
• Classification and measurement of multipartite entanglement by reconstruction of correlation tensors on an NMR quantum processor
• Detection of genuine tripartite entanglement based on Bloch representation of densitymatrices
• Genuine Multipartite Entanglement induced by a Thermal Acoustic Reservoir
• Detection of entanglement for multipartite quantum states
• Genuine entanglement detection via projection map in multipartite systems
• Criteria of genuine multipartite entanglement based on correlation tensors
• Detection of tripartite entanglement based on principal basis matrix representations
• Distribution of spin correlation strengths in multipartite systems
• On genuine entanglement for tripartite systems
• Detecting genuine multipartite entanglement using moments of positive maps
• Chirality-assisted enhancement of tripartite entanglement in waveguide QED
• Detection of Genuine Multipartite Entanglement in Arbitrary Multipartite systems
• Detection of genuine tripartite entanglement by two bipartite entangled states
• Improved tests of genuine entanglement for multiqudits
• Detection of genuine multipartite entanglement based on local sum uncertainty relations