Enhanced entanglement criterion via symmetric informationally complete measurements

Abstract

We show that a special type of measurements, called symmetric informationally complete positive operator-valued measures (SIC POVMs), provide a stronger entanglement detection criterion than the computable cross-norm or realignment criterion based on local orthogonal observables. As an illustration, we demonstrate the enhanced entanglement detection power in simple systems of qubit and qutrit pairs. This observation highlights the significance of SIC POVMs for entanglement detection.

final version, 7 pages, 6 figures, 32 references; published in PRA as an Editors' Suggestion

References in corpus (9)

• Entanglement detection
• Covariance matrices and the separability problem
• Unifying several separability conditions using the covariance matrix criterion
• Entanglement detection beyond the cross-norm or realignment criterion
• Experimental characterization of qutrits using SIC-POVMs
• Experimental Polarization State Tomography using Optimal Polarimeters
• Multiparticle covariance matrices and the impossibility of detecting graph state entanglement with two-particle correlations
• Improved separability criteria via some classes of measurements
• Random samples of quantum states: Online resources

Cited by in corpus (42)

• Self-testing non-projective quantum measurements in prepare-and-measure experiments
• Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments
• Enabling computation of correlation bounds for finite-dimensional quantum systems via symmetrisation
• A family of multipartite separability criteria based on correlation tensor
• Experimental certification of an informationally complete quantum measurement in a device-independent protocol
• Certification of a Nonprojective Qudit Measurement using Multiport Beamsplitters
• Implementation of quantum measurements using classical resources and only a single ancillary qubit
• Compounds of symmetric informationally complete measurements and their application in quantum key distribution
• Analyzing quantum entanglement with the Schmidt decomposition in operator space
• Enhanced Schmidt number criteria based on correlation trace norms
• Entanglement criterion via general symmetric informationally complete measurements
• Enhanced realignment criterion vs. linear entanglement witnesses
• Entanglement Witnesses Based on Symmetric Informationally Complete Measurements
• High-fidelity, multi-qubit generalized measurements with dynamic circuits
• Entanglement transitivity problems
• Entanglement Criteria Based on Quantum Fisher Information
• Higher-dimensional entanglement detection and quantum channel characterization using moments of generalized positive maps
• Entanglement criterion via general symmetric informationally complete measurement
• Measurement-based Multipartite Entanglement Inflation
• Schmidt number criterion via general symmetric informationally complete measurements
• Symmetric measurement-induced lower bounds of concurrence
• A Family of Bipartite Separability Criteria Based on Bloch Representation of Density Matrices
• Limits of network nonlocality probed by time-like separated observers
• Bipartite Bound Entanglement
• Self-testing of semisymmetric informationally complete measurements in a qubit prepare-and-measure scenario
• Estimating the Schmidt numbers of quantum states via symmetric measurements
• Detection power of separability criteria based on a correlation tensor: a case study
• Operational detection of entanglement via quantum designs
• Towards minimal self-testing of qubit states and measurements in prepare-and-measure scenarios
• Uncertainty relations for unified ($\alpha$,$\beta$)-relative entropy of coherence under mutually unbiased equiangular tight frames
• Higher-dimensional symmetric informationally complete measurement via programmable photonic integrated optics
• Relating measurement disturbance, information and orthogonality
• Non-projective Bell state measurements
• An Effective Way to Determine the Separability of Quantum State
• All classes of informationally complete symmetric measurements in finite dimensions
• Experimental certification of ensembles of high-dimensional quantum states with independent quantum devices
• Role of qubits in quantum entanglement and quantum teleportation
• Sequential information theoretic protocols in continuous variable systems
• Randomness-free Detection of Non-projective Measurements: Qubits & beyond
• Quantum Separability Criteria Based on Symmetric Measurements
• On the characterization of partially entanglement breaking and annihilating channels
• Designing generalized elegant Bell inequalities in higher dimensions from a Tsirelson bound