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This research addresses a critical bottleneck in quantum networks by demonstrating how to achieve unit-fidelity teleportation despite imperfect Bell-state measurements caused by coherent errors. The authors derive an analytical framework that compensates for these measurement deformations using optimized reversing operations, effectively decoupling high-performance protocols from the need for extensive hardware upgrades. This work provides essential theoretical tools for building robust quantum communication links where ideal entangling operations are currently unattainable.
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Quantum teleportation with partially entangled joint measurements induced by coherent errors

arXiv2 min read

arXiv:2605.12130v2 Announce Type: replace Abstract: Quantum teleportation is a fundamental protocol in quantum information science, whose performance is conventionally evaluated under the assumption of ideal Bell-state measurements. In realistic implementations, however, joint measurements are often imperfect and can deviate from maximally entangled bases due to coherent errors in entangling operations. In this work, we analytically show how the entanglement of joint measurements determines teleportation performance, and we propose a strategy to overcome the limitations imposed by partially entangled joint measurements to recover the unit teleportation fidelity with a nonzero success probability. This is achieved by optimizing a reversing operation on the teleported state to compensate for the known coherent deformation of the Bell-state measurement. We then derive an exact equation revealing a quantitative relation between measurement entanglement, channel entanglement, and the success probability to realize the unit-fidelity two-qubit teleportation. We illustrate our results using elegant joint measurements and realistic coherent error models arising from imperfect entangling operations in quantum systems. Our work provides fundamental insight into the role of measurement entanglement in quantum teleportation and offers a practical framework for achieving faithful teleportation without requiring substantial modifications to existing hardware.

Abstract:Quantum teleportation is a fundamental protocol in quantum information science, whose performance is conventionally evaluated under the assumption of ideal Bell-state measurements. In realistic implementations, however, joint measurements are often imperfect and can deviate from maximally entangled bases due to coherent errors in entangling operations. In this work, we analytically show how the entanglement of joint measurements determines teleportation performance, and we propose a strategy to overcome the limitations imposed by partially entangled joint measurements to recover the unit teleportation fidelity with a nonzero success probability. This is achieved by optimizing a reversing operation on the teleported state to compensate for the known coherent deformation of the Bell-state measurement. We then derive an exact equation revealing a quantitative relation between measurement entanglement, channel entanglement, and the success probability to realize the unit-fidelity two-qubit teleportation. We illustrate our results using elegant joint measurements and realistic coherent error models arising from imperfect entangling operations in quantum systems. Our work provides fundamental insight into the role of measurement entanglement in quantum teleportation and offers a practical framework for achieving faithful teleportation without requiring substantial modifications to existing hardware.

arXiv:2605.12130 [quant-ph]

(or arXiv:2605.12130v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2605.12130 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. A 114, 042401 (2026)

https://doi.org/10.1103/py1h-hmn9 Focus to learn more DOI(s) linking to related resources

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