Mapping Criteria of Nonlocality-Steerability in Qudit-Qubit Systems and Steerability-Entanglement in Qubit-Qudit Systems
arXiv:1810.10234 · doi:10.1103/PhysRevA.98.052114
Abstract
Entanglement, quantum steering and nonlocality are distinct quantum correlations which are the resources behind various of quantum information and quantum computation applications. However, a central question of determining the precise quantitative relation among them is still unresolved. Here, we present a mapping criterion between Bell nonlocality and quantum steering in bipartite qudit-qubit system, as well as a mapping criterion between quantum steering and quantum entanglement in bipartite qubit-qudit system, starting from the fundamental concepts of quantum correlations. Precise quantitative mapping criteria are derived analytically. Such mapping criteria are independent of the form of the state. In particular, they cover several previous well-known research results which are only special cases in our simple mapping criteria.
arXiv comment6 pagees, 2 figures. Accepted by Phys. Rev. A
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Cited by in corpus (11)
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- Detecting EPR steering via two classes of local measurements
- Can boundary configuration be tuned to optimize directional quantum steering harvesting?
- Quantum steering for different types of Bell-like states in gravitational background
- Detecting Tripartite Steering via Quantum Entanglement
- Quantifying Quantum Steering with Limited Resources: A Semi-supervised Machine Learning Approach
- Parameterized steering criteria via correlation matrices
- Controlling nonlocality of bipartite qubit states via quantum channels
- Asymmetric steerability of quantum equilibrium and nonequilibrium steady states through entanglement detection