Separability criteria via sets of mutually unbiased measurements

Abstract

Mutually unbiased measurements (MUMs) are generalized from the concept of mutually unbiased bases (MUBs) and include the complete set of MUBs as a special case, but they are superior to MUBs as they do not need to be rank one projectors. We investigate entanglement detection using sets of MUMs and derived separability criteria for $d$-dimensional multipartite systems, and arbitrary high-dimensional bipartitie and multipartite systems. These criteria provide experimental implementation in detecting entanglement of unknown quantum states.

10 pages in Scientific Reports, 2015, online. arXiv admin note: text overlap with arXiv:1407.0314 by other authors

References in corpus (8)

• Quantum information with Gaussian states
• Deterministic secure direct communication using GHZ states and swapping quantum entanglement
• Covariance matrices and the separability problem
• Optimal Controlled Teleportation
• Entanglement detection using mutually unbiased measurements
• Detection of genuinely entangled and non-separable $n$-partite quantum states
• Two Local Observables are Sufficient to Characterize Maximally Entangled States of N Qubits
• On uncertainty relations and entanglement detection with mutually unbiased measurements

Cited by in corpus (15)

• Mixed-state quantum anomaly and multipartite entanglement
• Entanglement detection via general SIC-POVMs
• Improved separability criteria via some classes of measurements
• Entanglement and Designs
• Entanglement criterion via general symmetric informationally complete measurements
• Separability criteria via some classes of measurements
• Entanglement Witnesses Based on Symmetric Informationally Complete Measurements
• A $(k+1)$-partite entanglement measure of $N$-partite quantum states
• Generalization of Pauli channels through mutually unbiased measurements
• Detecting EPR steering via two classes of local measurements
• Detection of the quantum states containing at most $k-1$ unentangled particles
• The verification of a requirement of entanglement measures
• Necessary and sufficient product criteria for quantum states via the rank of realignment matrix of density matrix
• Enhanced separability criteria based on symmetric measurements
• Quantum Separability Criteria Based on Symmetric Measurements