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Minimal port-based teleportation

Nov 9, 2021

26 pages

Published in:

New J.Phys. 25 (2023) 6, 063012

Published: Jun 14, 2023

e-Print:

2111.05499 [quant-ph]

DOI:

10.1088/1367-2630/acdab4

View in:

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Abstract: (IOP)

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 and fidelity 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.

Note:

26 pages, published version

quantum teleportation
port-based teleportation
representation theory
entanglement
teleportation
qubit
quantum state

References(34)

Figures(10)

[1]

Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels

Charles H. Bennett
(
- IBM Watson Res. Ctr.
)
,
Gilles Brassard
(
- Montreal U.
)
,
Claude Crepeau
(
- Montreal U. and
- Ecole Normale Supérieure, Paris
)
,
Richard Jozsa
(
- Montreal U.
)
,
Asher Peres
(
- Technion
)

et al.

- Phys.Rev.Lett. 70 (1993) 1895-1899
•
DOI:
- 10.1103/PhysRevLett.70.1895

[2]

Advances in quantum teleportation

- Nature Photon. 9 (2015) 641-652
•
DOI:
- 10.1038/nphoton.2015.154

[3]

Asymptotic Teleportation Scheme as a Universal Programmable Quantum Processor

Satoshi Ishizaka
(
- NEC, Tsukuba and
- Tokyo U., Komaba
)
,
Tohya Hiroshima
(
- NEC, Tsukuba and
- Oxford U., Ctr. Quantum Comp.
)

- Phys.Rev.Lett. 101 (2008) 240501
•
e-Print:
- 0807.4568
•
DOI:
- 10.1103/PhysRevLett.101.240501

[4]

Generalized teleportation and entanglement recycling

S. Strelchuk
,
M. Horodecki
,
J. Oppenheim

- Phys.Rev.Lett. 110 (2013) 010505
•
DOI:
- 10.1103/PhysRevLett.110.010505

[5]

Efficient Multi Port-Based Teleportation Schemes

Michał Studziński
(
- Gdansk Tech. U.
)
,
Marek Mozrzymas
(
- Wroclaw U.
)
,
Piotr Kopszak
(
- Wroclaw U.
)
,
Michał Horodecki
(
- Gdansk U.
)

- IEEE Trans.Info.Theor. 68 (2022) 12, 7892-7912,
- IEEE Transactions on Information Theory ( Volume: 68, Issue: 12, December 2022), pages 7892 - 7912
•
e-Print:
- 2008.00984
•
DOI:
- 10.1109/TIT.2022.3187852

[6]

Optimal multi-port-based teleportation schemes

M. Mozrzymas
,
M. Studziński
,
P. Kopszak

- Quantum 5 (2021) 477
•
DOI:
- 10.22331/q-2021-06-17-477

[7]

A simplified formalism of the algebra of partially transposed permutation operators with applications

M. Mozrzymas
,
M. Studziński
,
M. Horodecki

- J.Phys.A 51 (2018) 125202
•
DOI:
- 10.1088/1751-8121/aaad15

[8]

Asymptotic Performance of Port-Based Teleportation

Matthias Christandl
(
- Copenhagen U.
)
,
Felix Leditzky
(
- Colorado U. and
- JILA, Boulder and
- NIST, Boulder and
- U. Colorado, Boulder
)
,
Christian Majenz
(
- Amsterdam, CWI and
- Amsterdam U.
)
,
Graeme Smith
(
- Colorado U. and
- JILA, Boulder and
- NIST, Boulder and
- U. Colorado, Boulder
)
,
Florian Speelman
(
- Amsterdam, CWI and
- Amsterdam U.
)

et al.

- Commun.Math.Phys. 381 (2021) 1, 379-451
•
DOI:
- 10.1007/s00220-020-03884-0

[9]

Simplified instantaneous non-local quantum computation with applications to position-based cryptography

Salman Beigi
(
- Caltech and
- Caltech, IQI and
- IPM, Tehran
)
,
Robert König
(
- Caltech and
- Caltech, IQI and
- IBM Watson Res. Ctr.
)

- New J.Phys. 13 (2011) 9, 093036
•
DOI:
- 10.1088/1367-2630/13/9/093036

[10]

Complexity and entanglement in non-local computation and holography

Alex May
(
- Stanford U.
)

- Quantum 6 (2022) 864,
- Quantum 6 (2022) 864
•
e-Print:
- 2204.00908
•
DOI:
- 10.22331/q-2022-11-28-864

[11]

Quantum communication complexity advantage implies violation of a Bell inequality

H. Buhrman
,
Ł. Czekaj
,
A. Grudka
,
M. Horodecki
,
P. Horodecki

et al.

- Proc.Nat.Acad.Sci. 113 (2016) 3191-6
•
DOI:
- 10.1073/pnas.1507647113

[12]

Fundamental limits to quantum channel discrimination

Stefano Pirandola
(
- MIT, LNS and
- York U., England
)
,
Riccardo Laurenza
(
- Florence U., LENS
)
,
Cosmo Lupo
(
- Sheffield U.
)
,
Jason L. Pereira
(
- York U., England
)

- npj Quantum Inf. 5 (2019) 50
•
DOI:
- 10.1038/s41534-019-0162-y

[13]

Characterising port-based teleportation as universal simulator of qubit channels

J. Pereira
,
L. Banchi
,
S. Pirandola

- J.Phys.A 54 (2021) 205301
•
DOI:
- 10.1088/1751-8121/abe67a

[14]

Quantum teleportation beyond its standard form: multi-port-based teleportation

M.T. Quintino

- Quantum Views 5 (2021) 56
•
DOI:
- 10.22331/qv-2021-08-16-56

[15]

Optimal Probabilistic Storage and Retrieval of Unitary Channels

Michal Sedlák
(
- Bratislava, Inst. Phys. and
- Masaryk U., Brno
)
,
Alessandro Bisio
(
- Pavia U.
)
,
Mário Ziman
(
- Bratislava, Inst. Phys. and
- Masaryk U., Brno
)

- Phys.Rev.Lett. 122 (2019) 17, 170502
•
DOI:
- 10.1103/PhysRevLett.122.170502

[16]

All teleportation and dense coding schemes

R.F. Werner
(
- Braunschweig Tech. U.
)

- J.Phys.A 34 (2001) 35, 7081
•
DOI:
- 10.1088/0305-4470/34/35/332

Quantum theory from five reasonable axioms

Lucien Hardy

e-Print:
- quant-ph/0101012

[18]

A Derivation of quantum theory from physical requirements

Lluis Masanes
(
- ICFO, Barcelona
)
,
Markus P. Mueller
(
- Potsdam U.
)

- New J.Phys. 13 (2011) 063001
•
e-Print:
- 1004.1483
•
DOI:
- 10.1088/1367-2630/13/6/063001

e-Print:
- 1506.01555

[20]

Quantum teleportation scheme by selecting one of multiple output ports

Satoshi Ishizaka
(
- NEC, Tsukuba and
- Tokyo U., IIS
)
,
Tohya Hiroshima
(
- NEC, Tsukuba and
- Tokyo U.
)

- Phys.Rev.A 79 (2009) 4, 042306
•
DOI:
- 10.1103/PhysRevA.79.042306

[21]

Port-based teleportation in arbitrary dimension

Michał Studziński
(
- Cambridge U., DAMTP
)
,
Sergii Strelchuk
(
- Cambridge U., DAMTP
)
,
Marek Mozrzymas
(
- Wroclaw U.
)
,
Michał Horodecki
(
- Lodz U. and
- Kiel U., Inst. Theor. Phys. Astrophys. and
- KCIK, Sopot
)

- Sci.Rep. 7 (2017) 1, 10871
•
DOI:
- 10.1038/s41598-017-10051-4

[22]

Optimal port-based teleportation

- New J.Phys. 20 (2018) 5, 053006
•
DOI:
- 10.1088/1367-2630/aab8e7

[23]

Optimality of the pretty good measurement for port-based teleportation

Felix Leditzky
(
)

- Lett.Math.Phys. 112 (2022) 5, 98,
- Lett.Math.Phys. 112 (2022) 98
•
e-Print:
- 2008.11194
•
DOI:
- 10.1007/s11005-022-01592-5

[24]

Young Tableaux: With Applications to Representation Theory and Geometry

W. Fulton

[25]

Representations of Finite and Compact Groups (Graduate Studies in Mathematics vol 10)

B. Simon

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