Entanglement detection via general SIC-POVMs

Abstract

We study separability problem using general symmetric informationally complete measurements and propose separability criteria in ${\mathbb{C}}^{d_1}\otimes {\mathbb{C}}^{d_2}$ and ${\mathbb{C}}^{d_1}\otimes {\mathbb{C}}^{d_2}\cdots \otimes {\mathbb{C}}^{d_n}$. Our criteria just require less local measurements and provide experimental implementation in detecting entanglement of unknown quantum states.

10 pages, no figures. arXiv admin note: text overlap with arXiv:1406.7820, arXiv:1407.0314 by other authors

References in corpus (7)

• Entanglement detection
• Covariance matrices and the separability problem
• Symmetric Informationally Complete Measurements of Arbitrary Rank
• Entanglement detection using mutually unbiased measurements
• On uncertainty relations and entanglement detection with mutually unbiased measurements
• Entanglement detection via some classes of measurements
• Inequalities Detecting Quantum Entanglement for $2\otimes d$ Systems

Cited by in corpus (12)

• Enhanced entanglement criterion via symmetric informationally complete measurements
• Informational power of the Hoggar SIC-POVM
• Improved separability criteria via some classes of measurements
• Entanglement properties of multipartite informationally complete quantum measurements
• Entanglement criterion via general symmetric informationally complete measurements
• Construction of general symmetric-informationally-complete-positive-operator-valued measures by using a complete orthogonal basis
• Separability discrimination and decomposition of $m$-partite quantum mixed states
• Entanglement Witnesses Based on Symmetric Informationally Complete Measurements
• Entanglement criterion via general symmetric informationally complete measurement
• Detecting EPR steering via two classes of local measurements
• An extension of Bravyi-Smolin's construction for UMEBs
• Quantum Separability Criteria Based on Symmetric Measurements