Quantum Separability Criteria Based on Symmetric Measurements

Abstract

We propose experimentally feasible separability criteria for bipartite systems based on local symmetric measurements. Through detailed examples, we demonstrate that our criteria can detect entanglement more effectively compared to existing counterparts. Furthermore,we demonstrate the potential for our results to be generalized to general multipartite systems.

17 pages, 6 figures

References in corpus (37)

• Quantum entanglement
• Theoretical efficient high capacity Quantum Key Distribution Scheme
• On mutually unbiased bases
• Entropic uncertainty relations - A survey
• Separability criteria for genuine multiparticle entanglement
• Detection of high-dimensional genuine multi-partite entanglement of mixed states
• Entanglement detection via mutually unbiased bases
• Some Properties of the Computable Cross Norm Criterion for Separability
• Deterministic secure direct communication using GHZ states and swapping quantum entanglement
• Covariance matrices and the separability problem
• Quantum superposition, entanglement, and state teleportation of a microorganism on an electromechanical oscillator
• Optimal Controlled Teleportation
• Mutually unbiased measurements in finite dimensions
• Witnessing genuine multipartite entanglement with positive maps
• The generalized partial transposition criterion for separability of multipartite quantum states
• On the permutationally invariant part of a density matrix and nonseparability of N-qubit states
• Entanglement detection beyond the cross-norm or realignment criterion
• Measure of multipartite entanglement with computable lower bounds
• Enhanced entanglement criterion via symmetric informationally complete measurements
• Symmetric Informationally Complete Measurements of Arbitrary Rank
• Optimal Entanglement Witnesses for Qubits and Qutrits
• Further results on entanglement detection and quantification from the correlation matrix criterion
• Entanglement detection using mutually unbiased measurements
• Generalized reduction criterion for separability of quantum states
• Detection of genuinely entangled and non-separable $n$-partite quantum states
• Efficient $k$-separability criteria for mixed multipartite quantum states
• Separability criteria for several classes of $n$-partite quantum states
• Dynamics and entanglement of a membrane-in-the-middle optomechanical system in the extremely-large-amplitude regime
• Non-full rank bound entangled states satisfying the range criterion
• Separability criteria via sets of mutually unbiased measurements
• Entanglement detection via some classes of measurements
• Entanglement detection via general SIC-POVMs
• Construction of noisy bound entangled states and the range criterion
• Improved separability criteria via some classes of measurements
• Entanglement criterion via general symmetric informationally complete measurements
• Separability criteria via some classes of measurements
• Symmetric measurement-induced lower bounds of concurrence