Parameterized steering criteria via correlation matrices
arXiv:2312.05729 · doi:10.1016/j.rinp.2023.107253
Abstract
We study the steerability for arbitrary dimensional bipartite systems based on the correlation matrices given by local special unitary groups. We present families of steering criteria for bipartite quantum states in terms of parameterized correlation matrices. We show that these steering criteria may detect more steerable states than the existing steering criteria. The results are illustrated by detailed examples.
arXiv comment5 pages
References in corpus (47)
- Quantum entanglement
- Separability Criterion for Density Matrices
- Bell nonlocality
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Quantum Steering
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Experimental EPR-Steering of Bell-local States
- Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks
- Secure continuous variable quantum teleportation and Einstein-Podolsky-Rosen steering
- EPR Steering Inequalities from Entropic Uncertainty Relations
- Implementation of Continuous-Variable Quantum Key Distribution with Composable and One-Sided-Device-Independent Security Against Coherent Attacks
- One-way Einstein-Podolsky-Rosen Steering
- Experimental demonstration of Gaussian protocols for one-sided device-independent quantum key distribution
- Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
- Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications
- Signifying quantum benchmarks for qubit teleportation and secure communication using Einstein-Podolsky-Rosen steering inequalities
- Asymmetric Gaussian steering: when Alice and Bob disagree
- Monogamy inequalities for the EPR paradox and quantum steering
- Sufficient criterion for guaranteeing that a two-qubit state is unsteerable
- The no-signaling condition and quantum dynamics
- Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems
- Optimal randomness certification in the quantum steering and prepare-and-measure scenarios
- Maximal randomness expansion from steering inequality violations using qudits
- Analog of the Clauser-Horne-Shimony-Holt inequality for steering
- Demonstration of Einstein-Podolsky-Rosen Steering with Enhanced Subchannel Discrimination
- Steering criteria from general entropic uncertainty relations
- Tight steering inequalities from generalized entropic uncertainty relations
- All two-qubit states that are steerable via Clauser-Horne-Shimony-Holt-type correlations are Bell nonlocal
- Retrieving High-Dimensional Quantum Steering From a Noisy Environment with N Measurement Settings
- Steering maps and their application to dimension-bounded steering
- A family of multipartite separability criteria based on correlation tensor
- Steerability detection of arbitrary 2-qubit state via machine learning
- Securing quantum networking tasks with multipartite Einstein-Podolsky-Rosen steering
- Detecting Einstein-Podolsky-Rosen steering through entanglement detection
- Mapping Criteria of Nonlocality-Steerability in Qudit-Qubit Systems and Steerability-Entanglement in Qubit-Qudit Systems
- Experimental multipartite entanglement and randomness certification of the W state in the quantum steering scenario
- Steering Criteria via Covariance Matrices of Local Observables in Arbitrary Dimensional Quantum Systems
- Improved Separability Criteria Based on Bloch Representation of Density Matrices
- Experimental certification of steering criterion based on general entropic uncertainty relation
- Einstein-Podolsky-Rosen correlations and Bell correlations in the simplest scenario
- Constraint relation between steerability and concurrence for two-qubit states
- Einstein-Podolsky-Rosen steering based on semi-supervised machine learning
- Detected the steerability bounds of the generalized Werner states via BackPropagation neural network
- Experimental observation the Einstein-Podolsky-Rosen Steering based on the detection of entanglement
- A Family of Bipartite Separability Criteria Based on Bloch Representation of Density Matrices