Quality assessment of quantum teleportation through the distribution of fidelity

Abstract

In this work, we introduce a comprehensive statistical framework for assessing single-qubit quantum teleportation performance beyond the conventional average-fidelity benchmark. At first, we derive a closed-form expression for the full probability density function of actual teleportation fidelities and apply it to both classical measure-and-prepare schemes and standard quantum teleportation, considering two relevant noise models: Bell-diagonal resource states and local amplitude-damping channels. These results reveal that protocols with identical average fidelities can exhibit markedly different statistical behaviors, and that relying solely on average fidelity can mask inherent asymmetries introduced by local noise, potentially leading to spurious conclusions of symmetry. Secondly, we introduce a certification method based on prior importance functions (e.g., Beta distributions), which unifies moment-based criteria and threshold-based success probabilities into a single figure of merit. Applying this framework, we show that certifying high-fidelity teleportation requires increasingly stronger entanglement or non-locality, and we clarify that the so-called ``fighting noise with noise'' effect arises from the chosen prior importance function rather than representing a genuine advantage. Our approach thus provides versatile tools for tailored, application-specific teleportation benchmarks.

References in corpus (25)

• Ground-to-satellite quantum teleportation
• Advances in Quantum Teleportation
• Information-theoretic aspects of quantum inseparability of mixed states
• Quantum teleportation across a metropolitan fibre network
• Fidelity of Quantum Teleportation through Noisy Channels
• Local environment can enhance fidelity of quantum teleportation
• Fighting noise with noise in realistic quantum teleportation
• Teleportation Systems Towards a Quantum Internet
• Optimal minimal measurements of mixed states
• Noisy quantum teleportation: An experimental study on the influence of local environments
• On the origin of noisy states whose teleportation fidelity can be enhanced through dissipation
• Fidelity deviation in quantum teleportation
• Transmission of light-matter entanglement over a metropolitan network
• Overcoming noise in quantum teleportation with multipartite hybrid entanglement
• Quantum criticality under imperfect teleportation
• Optimal two-qubit states for quantum teleportation vis-à-vis state properties
• Fidelity deviation in quantum teleportation with a two-qubit state
• Teleportation of a genuine single-rail vacuum-one-photon qubit generated via a quantum dot source
• Noise mitigation in quantum teleportation
• Challenges in certifying quantum teleportation: moving beyond conventional fidelity benchmark
• Detecting quantum critical points at finite temperature via quantum teleportation: further models
• Rating the performance of noisy teleportation using fluctuations in fidelity
• Finite temperature detection of quantum critical points via internal quantum teleportation
• Operation fidelity explored by numerical range of Kraus operators
• Optimizing entanglement distribution via noisy quantum channels