Perfect Test of Entanglement for Two-level Systems

Abstract

A 3-setting Bell-type inequality enforced by the indeterminacy relation of complementary local observables is proposed as an experimental test of the 2-qubit entanglement. The proposed inequality has an advantage of being a sufficient and necessary criterion of the separability. Therefore any entangled 2-qubit state cannot escape the detection by this kind of tests. It turns out that the orientation of the local testing observables plays a crucial role in our perfect detection of the entanglement.

4 pages, RevTeX

References in corpus (8)

• Experimental quantum teleportation
• All multipartite Bell correlation inequalities for two dichotomic observables per site
• Bell's theorem for general N-qubit states
• Bell-type inequalities to detect true n-body non-separability
• Direct detection of quantum entanglement
• Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations
• Quadratic Bell inequalities as tests for multipartite entanglement
• Classifying N-qubit Entanglement via Bell's Inequalities

Cited by in corpus (26)

• Nonlinear entanglement witnesses
• Entanglement Detection by Local Orthogonal Observables
• Universal observable detecting all two-qubit entanglement and determinant based separability tests
• Entanglement detection using mutually unbiased measurements
• Correlation tensor criteria for genuine multiqubit entanglement
• Experimental Determination of Entanglement for Arbitrary Pure States
• Identification of three-qubit entanglement
• Complete Entanglement Witness for Quantum Teleportation
• Bell inequalities for multipartite qubit quantum systems and their maximal violation
• Inequalities Detecting Quantum Entanglement for $2\otimes d$ Systems
• Strengthened Bell inequalities for orthogonal spin directions
• Normalized Stokes operators for polarization correlations of entangled optical fields
• Entanglement criterion via general symmetric informationally complete measurements
• Entanglement Witnesses Based on Symmetric Informationally Complete Measurements
• Method for measuring the entanglement of formation for arbitrary-dimensional pure states
• Inequalities detecting entanglement for arbitrary bipartite systems
• Nonlinear Improvement of Qubit-qudit Entanglement Witnesses
• Analysis of Elliptically Polarized Maximally Entangled States for Bell Inequality Tests
• Entanglement Detection and Distillation for Arbitrary Bipartite Systems
• Separability criteria with angular and Hilbert space averages
• Entanglement detection and lower bound of convex-roof extension of negativity
• Exact algebraic separability criterion for two-qubit systems
• Bargmann-invariant framework for local unitary equivalence and entanglement
• Characterization of four-qubit states via Bell inequalities
• Bosonic fields in states with undefined particle numbers possess detectable non-contextuality features, plus more
• Enhanced separability criteria based on symmetric measurements