Optimal port-based teleportation
Published version
Peer-reviewed
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Repository DOI
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Authors
Mozrzymas, Marek
Studzinski, Michal
Strelchuk, Sergii https://orcid.org/0000-0001-8390-3034
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.
Description
Keywords
quantum information, representation theory, teleportation
Journal Title
NEW JOURNAL OF PHYSICS
Conference Name
Journal ISSN
1367-2630
1367-2630
1367-2630
Volume Title
20
Publisher
IOP Publishing
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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.