Optimal two-qubit states for quantum teleportation vis-à-vis state properties

Abstract

Quantum teleportation with a two-qubit state can be suitably characterized in terms of maximal fidelity and fidelity deviation, where the former is the maximal value of the average fidelity achievable within the standard protocol and local unitary operations and the latter is the standard deviation of fidelity over all input states. In this paper, we consider the problem of characterizing two-qubit states that are optimal for quantum teleportation for a given value of some state property. The optimal states are defined as those states that, for a given value of the state property under consideration, achieve the largest maximal fidelity and also exhibit zero fidelity deviation. We provide a complete characterization of optimal states for a given linear entropy, maximum mean value of the Bell-CHSH observable, and concurrence, respectively. We find that for a given linear entropy or Bell-CHSH violation, the largest maximal fidelity states are optimal, but for a given concurrence, the optimal states form a strict subset of the largest maximal fidelity states.

arXiv comment25 pages; published version

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• Gain in Performance of Teleportation with Uniformity-breaking Distributions
• Significance of Fidelity Deviation in Continuous Variable Teleportation
• Repeater-Based Quantum Communication Protocol: Maximizing Teleportation Fidelity with Minimal Entanglement
• Optimal teleportation fidelity and its deviation in noisy scenarios
• Quality assessment of quantum teleportation through the distribution of fidelity
• Incompatibility of optimized protection of entanglement and teleportation fdelity in the presence of decoherence