Quantum nonlocality and applications in quantum-information processing of hybrid entangled states

Abstract

The hybrid entangled states generated, e.g., in a trapped-ion or atom-cavity system, have exactly one ebit of entanglement, but are not maximally entangled. We demonstrate this by showing that they violate, but in general do not maximally violate, Bell's inequality due to Clauser, Horne, Shimony and Holt. These states are interesting in that they exhibit the entanglement between two distinct degrees of freedom (one is discrete and another is continuous). We then demonstrate these entangled states as a valuable resource in quantum information processing including quantum teleportation, entanglement swapping and quantum computation with "parity qubits". Our work establishes an interesting link between quantum information protocols of discrete and continuous variables.

5 pages, no figure

References in corpus (6)

• Experimental quantum teleportation
• Maximal Violation of Bell's Inequalities for Continuous Variable Systems
• A feasible "Kochen-Specker" experiment with single particles
• Experiments towards Falsification of Noncontextual Hidden Variable Theories
• Tests of Bell Inequalities
• Homodyne Bell's inequalities for entangled mesoscopic superpositions

Cited by in corpus (9)

• Generation of entangled coherent states for distant Bose-Einstein condensates via electromagnetically induced transparency
• Optical generation of hybrid entangled state via entangling single-photon-added coherent state
• Hyper- and hybrid nonlocality
• Long-distance entanglement sharing using hybrid states of discrete and continuous variables
• Hyper-hybrid entanglement, indistinguishability, and two-particle entanglement swapping
• Construction of a qudit using Schrodinger cat states and generation of hybrid entanglement between a discrete-variable qudit and a continuous-variable qudit
• Quantum entanglement and quantum nonlocality for $N$-photon entangled states
• Single-particle steering and nonlocality: The consecutive Stern-Gerlach Experiments
• Deterministic generation of hybrid entangled states using quantum walks