Evaluation of entanglement measures by a single observable

Abstract

We present observable lower bounds for several bipartite entanglement measures including entanglement of formation, geometric measure of entanglement, concurrence, convex-roof extended negativity, and G-concurrence. The lower bounds facilitate estimates of these entanglement measures for arbitrary finite-dimensional bipartite states. Moreover, these lower bounds can be calculated analytically from the expectation value of a single observable. Based on our results, we use several real experimental measurement data to get lower bounds of entanglement measures for these experimentally realized states. In addition, we also study the relations between entanglement measures.

10 pages, 4 figures

References in corpus (20)

• Entanglement detection
• Experimental entanglement of six photons in graph states
• Concurrence of arbitrary dimensional bipartite quantum states
• Measure of genuine multipartite entanglement with computable lower bounds
• Experimental Analysis of a 4-Qubit Cluster State
• The structure of multidimensional entanglement in multipartite systems
• Estimating entanglement measures in experiments
• Semi-device-independent bounds on entanglement
• Determining lower bounds on a measure of multipartite entanglement from few local observables
• Improved lower bounds on genuine-multipartite-entanglement concurrence
• Estimating entanglement monotones with a generalization of the Wootters formula
• Lower bounds on entanglement measures from incomplete information
• A Note on Fully Entangled Fraction
• Partial transpose as a direct link between concurrence and negativity
• Evaluating the geometric measure of multiparticle entanglement
• R Function Related to Entanglement of Formation
• Lower Bound of Concurrence Based on Positive Maps
• Discrete Fourier-based Correlations for Entanglement Detection
• Improved lower and upper bounds for entanglement of formation
• Lower Bound of Multipartite Concurrence Based on Sub-quantum State Decomposition

Cited by in corpus (9)

• Experimentally accessible lower bounds for genuine multipartite entanglement and coherence measures
• Quantifying entanglement of maximal dimension in bipartite mixed states
• Analyzing quantum entanglement with the Schmidt decomposition in operator space
• Numerical and analytical results for geometric measure of coherence and geometric measure of entanglement
• Near-term Efficient Quantum Algorithms for Entanglement Analysis
• Triangle inequalities in coherence measures and entanglement concurrence
• Constraints on correlations in multiqubit systems
• Detecting high-dimensional entanglement by randomized product projections
• Convex-roof entanglement measures of density matrices block diagonal in disjoint subspaces for the study of thermal states