Minimal port-based teleportation
There are two types of port-based teleportation (PBT) protocols: deterministic—when the state always arrives to the receiver but is imperfectly transmitted and probabilistic—when the state reaches the receiver intact with high probability. We introduce the minimal set of requirements that define a f...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/acdab4 |
| _version_ | 1827871365367070720 |
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| author | Sergii Strelchuk Michał Studziński |
| author_facet | Sergii Strelchuk Michał Studziński |
| author_sort | Sergii Strelchuk |
| collection | DOAJ |
| description | There are two types of port-based teleportation (PBT) protocols: deterministic—when the state always arrives to the receiver but is imperfectly transmitted and probabilistic—when the state reaches the receiver intact with high probability. We introduce the minimal set of requirements that define a feasible PBT protocol and construct a simple PBT protocol that satisfies these requirements: it teleports an unknown state of a qubit with success probability $p_{\textrm {succ}} = 1-\frac{N+2}{2^{N+1}}$ and fidelity $1-O(\frac{1}{N})$ with the resource state consisting of N maximally entangled states. This protocol is not reducible from either the deterministic or probabilistic PBT protocol. We define the corresponding efficient superdense coding protocols which transmit more classical bits with fewer maximally entangled states. Furthermore, we introduce rigorous methods for comparing and converting between different PBT protocols. |
| first_indexed | 2024-03-12T16:08:25Z |
| format | Article |
| id | doaj.art-5cd96c463ef64e09be422d4456bd8a1b |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:08:25Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-5cd96c463ef64e09be422d4456bd8a1b2023-08-09T14:14:02ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125606301210.1088/1367-2630/acdab4Minimal port-based teleportationSergii Strelchuk0https://orcid.org/0000-0001-8390-3034Michał Studziński1https://orcid.org/0000-0002-5946-9845DAMTP, Centre for Mathematical Sciences, University of Cambridge , Cambridge CB30WA, United KingdomInstitute of Theoretical Physics and Astrophysics, University of Gdańsk, National Quantum Information Centre , 80-952 Gdańsk, PolandThere are two types of port-based teleportation (PBT) protocols: deterministic—when the state always arrives to the receiver but is imperfectly transmitted and probabilistic—when the state reaches the receiver intact with high probability. We introduce the minimal set of requirements that define a feasible PBT protocol and construct a simple PBT protocol that satisfies these requirements: it teleports an unknown state of a qubit with success probability $p_{\textrm {succ}} = 1-\frac{N+2}{2^{N+1}}$ and fidelity $1-O(\frac{1}{N})$ with the resource state consisting of N maximally entangled states. This protocol is not reducible from either the deterministic or probabilistic PBT protocol. We define the corresponding efficient superdense coding protocols which transmit more classical bits with fewer maximally entangled states. Furthermore, we introduce rigorous methods for comparing and converting between different PBT protocols.https://doi.org/10.1088/1367-2630/acdab4quantum teleportationport-based teleportationrepresentation theory |
| spellingShingle | Sergii Strelchuk Michał Studziński Minimal port-based teleportation New Journal of Physics quantum teleportation port-based teleportation representation theory |
| title | Minimal port-based teleportation |
| title_full | Minimal port-based teleportation |
| title_fullStr | Minimal port-based teleportation |
| title_full_unstemmed | Minimal port-based teleportation |
| title_short | Minimal port-based teleportation |
| title_sort | minimal port based teleportation |
| topic | quantum teleportation port-based teleportation representation theory |
| url | https://doi.org/10.1088/1367-2630/acdab4 |
| work_keys_str_mv | AT sergiistrelchuk minimalportbasedteleportation AT michałstudzinski minimalportbasedteleportation |