Entanglement detection using mutually unbiased measurements
arXiv:1407.0314 · doi:10.1103/PhysRevA.89.064302
Abstract
We study the entanglement detection by using mutually unbiased measurements and provide a quantum separability criterion that can be experimentally implemented for arbitrary -dimensional bipartite systems. We show that this criterion is more effective than the criterion based on mutually unbiased bases. For isotropic states our criterion becomes both necessary and sufficient.
4 pages, 2 figures
References in corpus (29)
- Quantum entanglement
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Entanglement detection
- Separability criterion and inseparable mixed states with positive partial transposition
- Quantum privacy amplification and the security of quantum cryptography over noisy channels
- Entropic uncertainty relations - A survey
- Entanglement detection via mutually unbiased bases
- Some Properties of the Computable Cross Norm Criterion for Separability
- Improving Quantum State Estimation with Mutually Unbiased Bases
- Covariance matrices and the separability problem
- Optimal Teleportation Based on Bell Measurement
- Constructing Mutually Unbiased Bases in Dimension Six
- Mutually unbiased measurements in finite dimensions
- Bell Measurements and Observables
- The generalized partial transposition criterion for separability of multipartite quantum states
- Maximal Sets of Mutually Unbiased Quantum States in Dimension Six
- Optimal Entanglement Witnesses for Qubits and Qutrits
- Further results on entanglement detection and quantification from the correlation matrix criterion
- Mutually unbiased bases in dimension six: The four most distant bases
- Generalized reduction criterion for separability of quantum states
- Quantum Separability Criteria for Arbitrary Dimensional Multipartite States
- Teleportation of general finite dimensional quantum systems
- Quantum process reconstruction based on mutually unbiased basis
- Test for entanglement using physically observable witness operators and positive maps
- Gisin's Theorem for Arbitrary Dimensional Multipartite States
- The Limited Role of Mutually Unbiased Product Bases in Dimension Six
- Perfect Test of Entanglement for Two-level Systems
- Inequalities Detecting Quantum Entanglement for Systems
Cited by in corpus (30)
- On uncertainty relations and entanglement detection with mutually unbiased measurements
- Linking Entanglement Detection and State Tomography via Quantum 2-Designs
- Quantum Conical Designs
- Separability criteria via sets of mutually unbiased measurements
- Entanglement detection via some classes of measurements
- Entanglement detection via general SIC-POVMs
- Improved separability criteria via some classes of measurements
- On the Brukner-Zeilinger approach to information in quantum measurements
- Mutually unbiased measurement based entanglement witnesses
- Multipartite correlations in mutually unbiased bases
- Entanglement and Designs
- Entanglement criterion via general symmetric informationally complete measurements
- Separability conditions based on local fine-grained uncertainty relations
- Separability criteria via some classes of measurements
- Entanglement Witnesses Based on Symmetric Informationally Complete Measurements
- Entanglement criterion via general symmetric informationally complete measurement
- Separability criteria based on Heisenberg-Weyl representation of density matrices
- Generalization of Pauli channels through mutually unbiased measurements
- Detecting EPR steering via two classes of local measurements
- Operational detection of entanglement via quantum designs
- Nonlinear entanglement witnesses for four qubits in mutually unbiased bases
- General framework of quantum complementarity from a measurement-based perspective
- Rényi and Tsallis formulations of separability conditions in finite dimensions
- Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories
- All classes of informationally complete symmetric measurements in finite dimensions
- Mutually disjoint, maximally commuting set of physical observables for optimum state determination
- Enhanced separability criteria based on symmetric measurements
- Mutually unbiased measurements with arbitrary purity
- Mutually equibiased bases
- Quantum Separability Criteria Based on Symmetric Measurements