Optimized state independent entanglement detection based on geometrical threshold criterion

Abstract

Experimental procedures are presented for the rapid detection of entanglement of unknown arbitrary quantum states. The methods are based on the entanglement criterion using accessible correlations and the principle of correlation complementarity. Our first scheme essentially establishes the Schmidt decomposition for pure states, with few measurements only and without the need for shared reference frames. The second scheme employs a decision tree to speed up entanglement detection. We analyze the performance of the methods using numerical simulations and verify them experimentally for various states of two, three and four qubits.

13 pages, 12 figures

References in corpus (5)

• Entanglement detection
• Entanglement Detection in the Stabilizer Formalism
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Collinear source of polarization-entangled photon pairs at non-degenerate wavelengths
• Higher entropic uncertainty relations for anti-commuting observables

Cited by in corpus (6)

• Statistical Methods for Quantum State Verification and Fidelity Estimation
• Quantum entanglement from random measurements
• Multipartite Entanglement Analysis From Random Correlations
• Analysing quantum systems with randomised measurements
• Quantum verification and estimation with few copies
• Quantification of Quantum Correlations in Two-Beam Gaussian States Using Photon-Number Measurements