Port-based teleportation in arbitrary dimension

Michał Studziński , Sergii Strelchuk , Marek Mozrzymas , Michał Horodecki

Abstract

Port-based teleportation (PBT), introduced in 2008, is a type of quantum teleportation protocol which transmits the state to the receiver without requiring any corrections on the receiver’s side. Evaluating the performance of PBT was computationally intractable and previous attempts succeeded only with small systems. We study PBT protocols and fully characterize their performance for arbitrary dimensions and number of ports. We develop new mathematical tools to study the symmetries of the measurement operators that arise in these protocols and belong to the algebra of partially transposed permutation operators. First, we develop the representation theory of the mentioned algebra which provides an elegant way of understanding the properties of subsystems of a large system with general symmetries. In particular, we introduce the theory of the partially reduced irreducible representations which we use to obtain a simpler representation of the algebra of partially transposed permutation operators and thus explicitly determine the properties of any port-based teleportation scheme for fixed dimension in polynomial time.
Author Michał Studziński
Michał Studziński,,
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, Sergii Strelchuk
Sergii Strelchuk,,
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, Marek Mozrzymas
Marek Mozrzymas,,
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, Michał Horodecki IFTiA
Michał Horodecki,,
- Institute of Theoretical Physics and Astrophysics
Journal seriesScientific Reports, ISSN 2045-2322
Issue year2017
Vol7
Pages1-11
Publication size in sheets0.5
DOIDOI:10.1038/s41598-017-10051-4
URL https://www.nature.com/articles/s41598-017-10051-4.pdf
Languageen angielski
Score (nominal)40
ScoreMinisterial score = 40.0, 20-12-2017, ArticleFromJournal
Ministerial score (2013-2016) = 40.0, 20-12-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 4.259 (2) - 2016=4.847 (5)
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