Optimal port-based teleportation
NEW JOURNAL OF PHYSICS
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Mozrzymas, M., Studzinski, M., Strelchuk, S., & Horodecki, M. (2018). Optimal port-based teleportation. NEW JOURNAL OF PHYSICS, 20 (ARTN 053006)https://doi.org/10.1088/1367-2630/aab8e7
Deterministic port-based teleportation (dPBT) protocol is a scheme where a quantum state is guaranteed to be transferred to another system without unitary correction. We characterise the best achievable performance of the dPBT when both the resource state and the measurement is optimised. Surprisingly, the best possible fidelity for an arbitrary number of ports and dimension of the teleported state is given by the largest eigenvalue of a particular matrix—Teleportation Matrix. It encodes the relationship between a certain set of Young diagrams and emerges as the optimal solution to the relevant semidefinite programme.
quantum information, representation theory, teleportation
We would like to thank anonymous Referees for valuable comments which improved presentation of the results. MS is supported by the grant 'Mobilność Plus IV', 1271/MOB/IV/2015/0 from the Polish Ministry of Science and Higher Education. MH and MM are supported by National Science Centre, Poland, grant OPUS 9. 2015/17/B/ST2/01945.
External DOI: https://doi.org/10.1088/1367-2630/aab8e7
This record's URL: https://www.repository.cam.ac.uk/handle/1810/280413
Attribution 4.0 International
Licence URL: https://creativecommons.org/licenses/by/4.0/