Challenges in certifying quantum teleportation: moving beyond conventional fidelity benchmark

Abstract

The conventional certification method for quantum teleportation protocols relies on surpassing the highest achievable classical average fidelity between target and teleported states. Our investigation highlights the limitations of this approach: inconsistent conclusions can be obtained when it is considered different distance measures in the quantum state space, leading to contradictory interpretations. In particular, this behavior is manifested when modeling a very common noisy experimental scenario, in which the resource state takes the form of a Werner state generated by the influence of a depolarizing channel acting on the Bell state resource. Two additional noise models, based on amplitude-damping channel, are also analyzed. Our work, therefore, stresses the necessity of new certification methods for quantum teleportation.

References in corpus (4)

• Properties of Classical and Quantum Jensen-Shannon Divergence
• Mitigating depolarizing noise on quantum computers with noise-estimation circuits
• Optimal quantum teleportation protocols for fixed average fidelity
• Transmission distance in the space of quantum channels

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• From top quarks to enhanced quantum key distribution: A Framework for Optimal Predictability of Quantum Observables
• Teleportation based detection of quantum critical points using small spin chains
• Quality assessment of quantum teleportation through the distribution of fidelity