Entanglement thresholds for displaying the quantum nature of teleportation
arXiv:1508.01417 · doi:10.1016/j.aop.2016.05.004
Abstract
A protocol for transferring an unknown single qubit state has quantum features when the average fidelity of the outcomes is greater than 2/3. We use the probabilistic and unambiguous state extraction scheme as a mechanism to redistribute the fidelity in the outcome of the teleportation when the process is performed with an X-state as a noisy quantum channel. We show that the entanglement of the channel is necessary but not sufficient in order for the total average fidelity f_X to display quantum features, i.e., we find a threshold C_X for the concurrence of the channel. If the mechanism for redistributing fidelity is successfully applied then we find a filtrable outcome with normalized average fidelity f_{X,USE,0} greater than f_X. In addition, we find the threshold concurrence of the channel C_{X,USE,0} in order for the normalized average fidelity to display quantum features. Surprisingly, we find that the threshold concurrence C_{X,USE,0} can be lesser than C_X. Finally, we show that if the mechanism for redistributing fidelity fails then the respective filtrable outcome has average fidelity lesser than 2/3.
arXiv comment7 pages
References in corpus (37)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Experimental quantum teleportation
- Mixed State Entanglement and Quantum Error Correction
- Introducing Quantum Discord
- Quantum Computing
- Entanglement of a Pair of Quantum Bits
- Classical, quantum and total correlations
- Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
- The classical-quantum boundary for correlations: discord and related measures
- Unified View of Quantum and Classical Correlations
- Quantum Open System Theory: Bipartite Aspects
- Probabilistic teleportation and entanglement matching
- Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment
- Dynamics of quantum correlations in two-qubit systems within non-Markovian environments
- Probabilistic Quantum Teleportation
- Direct measurement of finite-time disentanglement induced by a reservoir
- Cavity-based architecture to preserve quantum coherence and entanglement
- Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
- Optimal teleportation with a mixed state of two qubits
- Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics
- Preserving entanglement and nonlocality in solid-state qubits by dynamical decoupling
- Recovering Entanglement by Local Operations
- Hierarchy and dynamics of trace distance correlations
- Optimal conclusive teleportation of quantum states
- Universal freezing of quantum correlations within the geometric approach
- Optimal quantum teleportation with an arbitrary pure state
- Transfer of nonclassical features in quantum teleportation via a mixed quantum channel
- Distributed correlations and information flows within a hybrid multipartite quantum-classical system
- Entanglement dynamics in superconducting qubits affected by local bistable impurities
- Entanglement Swapping of Two Arbitrarily Degraded Entangled States
- Two-qubit entanglement dynamics for two different non-Markovian environments
- Hidden entanglement, system-environment information flow and non-Markovianity
- Entanglement degradation in the solid state: interplay of adiabatic and quantum noise
- Teleportation fidelity as a probe of sub-Planck phase-space structure
- Entanglement of formation for a class of -dimensional systems
- Nonzero Classical Discord
- Optimal continuous variable quantum teleportation protocol for realistic settings