Relations between entanglement, Bell-inequality violation and teleportation fidelity for the two-qubit X states

Abstract

Based on the assumption that the receiver Bob can apply any unitary transformation, Horodecki {\it et al.} [Phys. Lett. A {\bf 222}, 21 (1996)] proved that any mixed two spin-1/2 state which violates the Bell-CHSH inequality is useful for teleportation. Here, we further show that any X state which violates the Bell-CHSH inequality can also be used for nonclassical teleportation even if Bob can only perform the identity or the Pauli rotation operations. Moreover, we showed that the maximal difference between the two average fidelities achievable via Bob's arbitrary transformations and via the sole identity or the Pauli rotation is 1/9.

5 pages, to be published in "Quantum Information Processing"

References in corpus (10)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• From Bell's Theorem to Secure Quantum Key Distribution
• Teleportation, Bell's Inequalities and Inseparability
• Teleportation as a Depolarizing Quantum Channel, Relative Entropy and Classical Capacity
• Entanglement versus Bell violations and their behaviour under local filtering operations
• Optimal Teleportation Based on Bell Measurement
• Teleportation via thermally entangled state of a three-qubit Heisenberg XX ring
• Robustness of Greenberger-Horne-Zeilinger and W states for teleportation in external environments
• General teleportation channel, singlet fraction and quasi-distillation
• Teleportation of the one-qubit state in decoherence environments

Cited by in corpus (16)

• Quantification of Einstein-Podolski-Rosen steering for two-qubit states
• Entanglement estimation from Bell inequality violation
• Two-qubit mixed states more entangled than pure states: Comparison of the relative entropy of entanglement for a given nonlocality
• Wave-particle duality: an information-based approach
• Efficiency of photonic state tomography affected by fiber attenuation
• A Study on Thermal Quantum Resources and Probabilistic Teleportation in Spin-1/2 Heisenberg XYZ+DM+KSEA Model under Variable Zeeman Splitting
• Quantumness near a Schwarzschild black hole
• Quantum tomography of entangled qubits by time-resolved single-photon counting with time-continuous measurements
• Optical spin squeezing: bright beams as high-flux entangled photon sources
• Quantumness of gravitational cat states in correlated dephasing channels
• Attainable and usable coherence in X states over Markovian and non-Markovian channels
• Indistinguishability-assisted two-qubit entanglement distillation
• Entanglement characterization by single-photon counting with random noise
• Quantum State Tomography of Four-Level Systems with Noisy Measurements
• Quantum resources of the steady-state of three coupled qubits: Microscopic versus Phenomenological model
• SYK model based $\beta$ regime dependent two-qubit dynamical wormhole-inspired teleportation protocol simulation