Tighter Einstein-Podolsky-Rosen steering inequality based on the sum uncertainty relation
arXiv:1711.01401 · doi:10.1103/PhysRevA.96.052326
Abstract
We consider the uncertainty bound on the sum of variances of two incompatible observables in order to derive a corresponding steering inequality. Our steering criterion when applied to discrete variables yields the optimum steering range for two qubit Werner states in the two measurement and two outcome scenario. We further employ the derived steering relation for several classes of continuous variable systems. We show that non-Gaussian entangled states such as the photon subtracted squeezed vacuum state and the two-dimensional harmonic oscillator state furnish greater violation of the sum steering relation compared to the Reid criterion as well as the entropic steering criterion. The sum steering inequality provides a tighter steering condition to reveal the steerability of continuous variable states.
References in corpus (27)
- Violation of Bell's inequality under strict Einstein locality conditions
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Quantum computation over continuous variables
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- The Einstein-Podolsky-Rosen paradox: from concepts to applications
- Bell violation with entangled photons, free of the fair-sampling assumption
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- The Uncertainty Relation for Smooth Entropies
- Experimental EPR-Steering of Bell-local States
- The uncertainty principle determines the non-locality of quantum mechanics
- EPR Steering Inequalities from Entropic Uncertainty Relations
- Non-Gaussian entanglement distillation for continuous variables
- Stronger uncertainty relations for the sum of variances
- Experimental demonstration of quantum correlations over more than 10 km
- Teleportation of Nonclassical Wave Packets of light
- Fine-grained EPR-steering inequalities
- Analog of the Clauser-Horne-Shimony-Holt inequality for steering
- Strong Einstein-Podolsky-Rosen steering with unconditional entangled states
- Experimental investigation of the stronger uncertainty relations for all incompatible observables
- Sum Uncertainty Relation in Quantum Theory
- Tighter Uncertainty and Reverse Uncertainty Relations
- Einstein-Podolsky-Rosen-steering using quantum correlations in non-Gaussian entangled states
- Non-Gaussian continuous-variable entanglement and steering
- A Stronger Multi-observable Uncertainty Relation
- Stronger steerability criterion for more uncertain continuous variable systems
- Optimal quantum violation of Clauser-Horne-Shimony-Holt like steering inequality
Cited by in corpus (13)
- Sharing of Non-Local Advantage of Quantum Coherence by sequential observers
- Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
- Fermionic steering and its monogamy relations in Schwarzschild spacetime
- Measurement incompatibility and quantum advantage in communication
- Detecting non-Markovianity via uncertainty relations
- Efficient detection of nonclassicality using moments of the Wigner function
- No nonlocal advantage of quantum coherence beyond quantum instrumentality
- Mutual Uncertainty, Conditional Uncertainty and Strong Sub-Additivity
- Secure One-Sided Device-Independent Quantum Key Distribution Under Collective Attacks with Enhanced Robustness
- Tripartite quantum steering in Schwarzschild spacetime
- Classifying Measurement Incompatibility under Classical Pre- and Post-Processing Operations
- Nonlocality in Continuous-Variable Quantum Networks
- Witness High-Dimensional Quantum Steering via Majorization Lattice