Stronger steerability criterion for more uncertain continuous variable systems
arXiv:1503.04697 · doi:10.1103/PhysRevA.92.042317
Abstract
We derive a fine-grained uncertainty relation for the measurement of two incompatible observables on a single quantum system of continuous variables, and show that continuous variable systems are more uncertain than discrete variable systems. Using the derived fine-grained uncertainty relation, we formulate stronger steering criterion that is able to reveal the steerability of N00N states that has hitherto not been possible using other criteria. We further obtain a monogamy relation for our steering inequality which leads to an, in principle, improved lower bound on the secret key rate of a one-sided device independent quantum key distribution protocol for continuous variables.
5 pages, 2 figures, published version
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Cited by in corpus (20)
- Non-Local Advantage of Quantum Coherence
- Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems
- Sharing of Non-Local Advantage of Quantum Coherence by sequential observers
- Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
- Complementarity Relations Between Quantum Steering Criteria
- Nonlocal quantum correlations under amplitude damping decoherence
- Measurement incompatibility and quantum advantage in communication
- Tighter Einstein-Podolsky-Rosen steering inequality based on the sum uncertainty relation
- Nonlocal Advantages of Quantum Imaginarity
- Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state
- Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities
- Cost of Einstein-Podolsky-Rosen steering in the context of extremal boxes
- Detecting non-Markovianity via uncertainty relations
- Operational characterization of quantumness of unsteerable bipartite states
- Role of maximally entangled states in the context of linear steering inequalities
- Characterization of the quantumness of unsteerable tripartite correlations
- A tighter steering criterion using the Robertson-Schrodinger uncertainty relation
- "All-versus-nothing" proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario
- Nonlocality in Continuous-Variable Quantum Networks
- Classifying Measurement Incompatibility under Classical Pre- and Post-Processing Operations