Estimating entanglement measures in experiments

Abstract

We present a method to estimate entanglement measures in experiments. We show how a lower bound on a generic entanglement measure can be derived from the measured expectation values of any finite collection of entanglement witnesses. Hence witness measurements are given a quantitative meaning without the need of further experimental data. We apply our results to a recent multi-photon experiment [M. Bourennane et al., Phys. Rev. Lett. 92, 087902 (2004)], giving bounds on the entanglement of formation and the geometric measure of entanglement in this experiment.

4 pages, 1 figure, v2: final version

References in corpus (5)

• Scalable multi-particle entanglement of trapped ions
• Experimental entanglement of six photons in graph states
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Experimental Analysis of a 4-Qubit Cluster State
• Quantifying Entanglement with Witness Operators

Cited by in corpus (22)

• Entanglement detection
• Experimental entanglement of six photons in graph states
• Multiparticle entanglement under the influence of decoherence
• Lower bounds on concurrence and separability conditions
• Hierarchies of Geometric Entanglement
• Measuring Measurement: Theory and Practice
• Unifying several separability conditions using the covariance matrix criterion
• On experimental procedures for entanglement verification
• Further results on entanglement detection and quantification from the correlation matrix criterion
• Optimal estimation of entanglement
• Observable estimation of entanglement for arbitrary finite-dimensional mixed states
• Maximally entangled three-qubit states via geometric measure of entanglement
• Lower bounds on entanglement measures from incomplete information
• Highly Entangled Ground States in Tripartite Qubit Systems
• Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
• Concurrence via entanglement witnesses
• Detecting entanglement of random states with an entanglement witness
• Entanglement measures as physical observables
• Constrained bounds on measures of entanglement
• Decay of Entanglement for Solid-State Qubits
• Geometrically induced singular behavior of entanglement
• Separability bounds on multiqubit moments due to positivity under partial transpose