Diagnosing steerability of a bipartite state with the nonsteering threshold
arXiv:1904.04829 · doi:10.1103/PhysRevA.102.012202
Abstract
In the present work, a traditional quantity, the averaged fidelity, is introduced as the steering parameter. From the definitions of steering from Alice to Bob and the joint measurability, a general scheme is developed to design linear steering criteria. For a given set of measurements on Bob's side, the so-called nonsteering threshold is defined to quantify the ability to detect steering. If the measured averaged fidelity exceeds this threshold, it is shown that the state shared by Alice and Bob is steerable from Alice to Bob, and the measurements performed by Alice are also verified to be incompatible. Within the general scheme, a discussion about how to design optimal criteria is provided for two different scenarios: (a) to find the optimal measurements on Bob's side when the state is unknown and (b) to find the optimal measurements for Alice when the state and the measurements on Bob's side are given.
arXiv comment10 pages, no figures, typos corrected, accepted for publication in Phys. Rev. A
References in corpus (63)
- Quantum entanglement
- Bell nonlocality
- Entanglement detection
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- On mutually unbiased bases
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- General Entanglement Breaking Channels
- Quantum Steering
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Quantum steering: a review with focus on semidefinite programming
- Experimental EPR-Steering of Bell-local States
- Secure continuous variable quantum teleportation and Einstein-Podolsky-Rosen steering
- EPR Steering Inequalities from Entropic Uncertainty Relations
- One-way Einstein-Podolsky-Rosen Steering
- Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
- Loophole-free Einstein-Podolsky-Rosen experiment via quantum steering
- Conclusive quantum steering with superconducting transition edge sensors
- Joint measurability of generalized measurements implies classicality
- Arbitrarily loss-tolerant Einstein-Podolsky-Rosen steering allowing a demonstration over 1 km of optical fiber with no detection loophole
- Quantification of Einstein-Podolski-Rosen steering for two-qubit states
- Quantum benchmark for storage and transmission of coherent states
- One-to-one mapping between steering and joint measurability problems
- Signifying quantum benchmarks for qubit teleportation and secure communication using Einstein-Podolsky-Rosen steering inequalities
- Quantum randomness extraction for various levels of characterization of the devices
- Sufficient criterion for guaranteeing that a two-qubit state is unsteerable
- Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems
- Qubit Entanglement Breaking Channels
- Optimal randomness certification in the quantum steering and prepare-and-measure scenarios
- Steering bound entangled states: A counterexample to the stronger Peres conjecture
- Einstein-Podolsky-Rosen steering and the steering ellipsoid
- Maximal randomness expansion from steering inequality violations using qudits
- Natural Framework for Device-Independent Quantification of Quantum Steerability, Measurement Incompatibility, and Self-Testing
- Analog of the Clauser-Horne-Shimony-Holt inequality for steering
- Steering criteria from general entropic uncertainty relations
- Incompatibility robustness of quantum measurements: a unified framework
- Rigidity of quantum steering and one-sided device-independent verifiable quantum computation
- Robustness of incompatibility for quantum devices
- Necessary and sufficient condition for steerability of two-qubit states by the geometry of steering outcomes
- Self-testing through EPR-steering
- Incompatibility breaking quantum channels
- Tight steering inequalities from generalized entropic uncertainty relations
- Unbounded violation of quantum steering inequalities
- Continuous variable steering and incompatibility via state-channel duality
- Nonlocality of a single photon: paths to an EPR-steering experiment
- Informationally complete joint measurements on finite quantum systems
- Most incompatible measurements for robust steering tests
- Quantum Benchmark for Teleportation and Storage of Squeezed States
- All two-qubit states that are steerable via Clauser-Horne-Shimony-Holt-type correlations are Bell nonlocal
- Steering maps and their application to dimension-bounded steering
- Optimal design and quantum benchmarks for coherent state amplifiers
- Heralded quantum steering over a high-loss channel
- Loss-Tolerant Tests Of Einstein-Podolsky-Rosen-Steering
- Spin entanglement, decoherence and Bohm's EPR paradox
- Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems
- One-sided Device-independent Self-testing of any Pure Two-qubit Entangled State
- Quantum benchmarks for pure single-mode Gaussian states
- Quantum steering inequality with tolerance for measurement-setting-errors: experimentally feasible signature of unbounded violation
- Fidelity criterion for quantum-domain transmission and storage of coherent states beyond unit-gain constraint
- Steering Criteria via Covariance Matrices of Local Observables in Arbitrary Dimensional Quantum Systems
- Einstein-Podolsky-Rosen correlations and Bell correlations in the simplest scenario
- Characterizing Nonlocal Correlations via Universal Uncertainty Relations
- Fidelity and the communication of quantum information