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Optimal port-based teleportation

Published version
Peer-reviewed

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Type

Article

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Authors

Mozrzymas, Marek 
Studzinski, Michal 
Horodecki, Michal 

Abstract

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.

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Keywords

quantum information, representation theory, teleportation

Journal Title

NEW JOURNAL OF PHYSICS

Conference Name

Journal ISSN

1367-2630
1367-2630

Volume Title

20

Publisher

IOP Publishing
Sponsorship
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.