Universal steering inequalities
arXiv:1510.04711 · doi:10.1103/PhysRevLett.116.070403
Abstract
We propose a general framework for constructing universal steering criteria that are applicable to arbitrary bipartite states and measurement settings of the steering party. The same framework is also useful for studying the joint measurement problem. Based on the data-processing inequality for an extended Rényi relative entropy, we then introduce a family of universal steering inequalities, which detect steering much more efficiently than those inequalities known before. As illustrations, we show unbounded violation of a steering inequality for assemblages constructed from mutually unbiased bases and establish an interesting connection between maximally steerable assemblages and complete sets of mutually unbiased bases. We also provide a single steering inequality that can detect all bipartite pure states of full Schmidt rank. In the course of study, we generalize a number of results intimately connected to data-processing inequalities, which are of independent interest.
5+6 pages, two figures, comments and suggestions are very welcome!
References in corpus (12)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Heisenberg's Uncertainty Principle
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Quantification of Gaussian quantum steering
- Tight informationally complete quantum measurements
- Joint measurability of generalized measurements implies classicality
- Fine-grained EPR-steering inequalities
- Non-disturbing quantum measurements
- Verifying the quantumness of a channel with an untrusted device
- The best Fisher is upstream: data processing inequalities for quantum metrology
Cited by in corpus (43)
- Quantum Steering
- Quantum steering: a review with focus on semidefinite programming
- Sufficient criterion for guaranteeing that a two-qubit state is unsteerable
- Necessary and sufficient condition for steerability of two-qubit states by the geometry of steering outcomes
- Experimental Measurement-Device-Independent Quantum Steering and Randomness Generation Beyond Qubits
- Steering Bell-diagonal states
- Retrieving High-Dimensional Quantum Steering From a Noisy Environment with N Measurement Settings
- Universally Fisher-Symmetric Informationally Complete Measurements
- Controlling Stationary One-Way Steering via Thermal Effects in Optomechanics
- Steerability detection of arbitrary 2-qubit state via machine learning
- Non-separability and steerability of two-qubit states from the geometry of steering outcomes
- One-sided Device-independent Self-testing of any Pure Two-qubit Entangled State
- The influence of Unruh effect on quantum steering for accelerated two-level detectors with different measurements
- Joint measurability of quantum effects and the matrix diamond
- Tripartite entanglement detection through tripartite quantum steering in one-sided and two-sided device-independent scenarios
- Mutual Unbiasedness in Coarse-grained Continuous Variables
- Reliable experimental certification of one-way Einstein-Podolsky-Rosen steering
- Einstein-Podolsky-Rosen correlations and Bell correlations in the simplest scenario
- Cost of Einstein-Podolsky-Rosen steering in the context of extremal boxes
- Einstein-Podolsky-Rosen steering based on semi-supervised machine learning
- Monogamy of Einstein-Podolsky-Rosen steering in the background of an asymptotically flat black hole
- How many mutually unbiased bases are needed to detect bound entangled states?
- Detected the steerability bounds of the generalized Werner states via BackPropagation neural network
- Geometric Steering Criterion for Two-qubit States
- Entangling and assisted entangling power of bipartite unitary operations
- Compatibility of quantum measurements and inclusion constants for the matrix jewel
- Quantum Measurements in the Light of Quantum State Estimation
- Experimental detection of steerability in Bell local states with two measurement settings
- Uniform Quantification of Correlations for Bipartite Systems
- On the pure state outcomes of Einstein-Podolsky-Rosen steering
- Order preserving maps on quantum measurements
- Entangling power of two-qubit unitary operations
- Mutually Unbiased Coarse-Grained Measurements of Two or More Phase-Space Variables
- Detecting Tripartite Steering via Quantum Entanglement
- Revealing the quantitative relation between simultaneous correlations in complementary bases and quantum steering for two-qubit Bell diagonal states
- Distributing long-distance trust in optomechanics
- Averaged fidelity-based steering criteria
- A Fisher information-based incompatibility criterion for quantum channels
- A Note on Hierarchy of Quantum Measurement Incompatibilities
- Experimental simulation of quantum temporal steering beyond rotating-wave approximation
- Some remarks on Bell non-locality and Einstein-Podolsky-Rosen steering of bipartite states
- Broadcasting of non-locality
- Mutually unbiased bases containing a complex Hadamard matrix of Schmidt rank three