Quantum entanglement in the triangle network - INSPIRE

DataBETA

Quantum entanglement in the triangle network

Jun 21, 2021

5 pages

Published in:

Phys.Rev.A 103 (2021) 6, L060401

Published: Jun 21, 2021

DOI:

10.1103/PhysRevA.103.L060401

reference search37 citations

Citations per year

Abstract: (APS)

Beyond future applications, quantum networks open interesting fundamental perspectives, notably novel forms of quantum correlations. In this Letter we discuss quantum correlations in networks from the perspective of the underlying quantum states and their entanglement. We address the questions of which states can be prepared in the so-called triangle network, consisting of three nodes connected pairwise by three sources. We derive necessary criteria for a state to be preparable in such a network, considering both cases where the sources are statistically independent and classically correlated. This shows that the network structure imposes strong and nontrivial constraints on the set of preparable states, fundamentally different from the standard characterization of multipartite quantum entanglement.

Quantum Information, Science & Technology
Nonlocality
Quantum communication
Quantum entanglement
Quantum networks

References(48)

Figures(0)

The quantum internet

H.J. Kimble
(
- Caltech
)

- Nature 453 (2008) 7198, 1023-1030
•
DOI:
- 10.1038/nature07127

Quantum repeaters based on atomic ensembles and linear optics

Nicolas Sangouard
(
- Geneva U. and
- MPQ, Paris
)
,
Christoph Simon
(
- Geneva U. and
- Calgary U.
)
,
Hugues de Riedmatten
(
- Geneva U. and
- ICFO, Barcelona and
- ICREA, Barcelona
)
,
Nicolas Gisin
(
- Geneva U.
)

- Rev.Mod.Phys. 83 (2011) 1, 33
•
DOI:
- 10.1103/RevModPhys.83.33

Towards a global quantum network

Christoph Simon
(
- Calgary U.
)

- Nature Photon. 11 (2017) 11, 678-680
•
DOI:
- 10.1038/s41566-017-0032-0

Quantum internet: A vision for the road ahead

- Science 362 (2018) 6412, aam9288
•
DOI:
- 10.1126/science.aam9288

Quantum state transfer and entanglement distribution among distant nodes in a quantum network

J.I. Cirac
(
- Santa Barbara, KITP and
- Innsbruck U.
)
,
P. Zoller
(
- Santa Barbara, KITP and
- Innsbruck U.
)
,
H.J. Kimble
(
- Santa Barbara, KITP and
- Caltech
)
,
H. Mabuchi
(
- Santa Barbara, KITP and
- Caltech
)

- Phys.Rev.Lett. 78 (1997) 3221
•
e-Print:
- quant-ph/9611017
•
DOI:
- 10.1103/PhysRevLett.78.3221

Long-distance quantum communication with atomic ensembles and linear optics

L.M. Duan
(
- Innsbruck U. and
- RMIT U.
)
,
M.D. Lukin
(
- Harvard-Smithsonian Ctr. Astrophys.
)
,
J.I. Cirac
(
- Innsbruck U.
)
,
P. Zoller
(
- Innsbruck U.
)

- Nature 414 (2001) 413-418
•
DOI:
- 10.1038/35106500

A photonic quantum information interface

S. Tanzilli
,
W. Tittel
,
M. Halder
,
O. Alibart
,
P. Baldi

et al.

- Nature 437 (2005) 116
•
DOI:
- 10.1038/nature04009

Storage and retrieval of single photons transmitted between remote quantum memories

et al.

- Nature 438 (2005) 7069, 833-836
•
DOI:
- 10.1038/nature04315

Entanglement percolation in quantum networks

Antonio Acín
(
- ICFO, Barcelona and
- ICREA, Barcelona
)
,
J.Ignacio Cirac
(
- Munich, Max Planck Inst. Quantenopt.
)
,
Maciej Lewenstein
(
- ICFO, Barcelona and
- ICREA, Barcelona
)

- Nature Phys. 3 (2007) 4, 256-259
•
DOI:
- 10.1038/nphys549

Entanglement distribution in pure-state quantum networks

S. Perseguers
,
J.I. Cirac
,
A. Acín
,
M. Lewenstein
,
J. Wehr

- Phys.Rev.A 77 (2008) 022308

One-shot entanglement generation over long distances in noisy quantum networks

S. Perseguers
,
L. Jiang
,
N. Schuch
,
F. Verstraete
,
M.D. Lukin

et al.

- Phys.Rev.A 78 (2008) 062324

On the Einstein-Podolsky-Rosen paradox

J.S. Bell
(
- Wisconsin U., Madison
)

- Physics Physique Fizika 1 (1964) 195-200
•
DOI:
- 10.1103/PhysicsPhysiqueFizika.1.195

Characterizing the Nonlocal Correlations Created via Entanglement Swapping

- Phys.Rev.Lett. 104 (2010) 17, 170401
•
DOI:
- 10.1103/PhysRevLett.104.170401

Nonlinear Bell Inequalities Tailored for Quantum Networks

Denis Rosset
(
- Geneva U.
)
,
Cyril Branciard
(
- Neel Lab, Grenoble
)
,
Tomer Jack Barnea
(
- Geneva U.
)
,
Gilles Pütz
(
- Geneva U.
)
,
Nicolas Brunner
(
- Geneva U.
)

et al.

- Phys.Rev.Lett. 116 (2016) 1, 010403
•
DOI:
- 10.1103/PhysRevLett.116.010403

Beyond Bell's theorem: correlation scenarios

Tobias Fritz

- New J.Phys. 14 (2012) 10, 103001
•
DOI:
- 10.1088/1367-2630/14/10/103001

Bilocal versus nonbilocal correlations in entanglement-swapping experiments

- Phys.Rev.A 85 (2012) 3, 032119
•
DOI:
- 10.1103/PhysRevA.85.032119

Causal compatibility inequalities admitting quantum violations in the triangle structure

T.C. Fraser
,
E. Wolfe

- Phys.Rev.A 98 (2018) 022113

Genuine Quantum Nonlocality in the Triangle Network

et al.

- Phys.Rev.Lett. 123 (2019) 14, 140401
•
DOI:
- 10.1103/PhysRevLett.123.140401

Theory-independent limits on correlations from generalized Bayesian networks

- New J.Phys. 16 (2014) 11, 113043
•
DOI:
- 10.1088/1367-2630/16/11/113043

Information–theoretic implications of quantum causal structures

- Nature Commun. 6 (2015) 1, 5766
•
DOI:
- 10.1038/ncomms6766

The Inflation Technique for Causal Inference with Latent Variables

- Journal of Causal Inference 7 (2019) 2, 20170020
•
DOI:
- 10.1515/jci-2017-0020

Limits On Correlations In Networks For Quantum And No-Signaling Resources

M.-O. Renou
,
Y. Wang
,
S. Boreiri
,
S. Beigi
,
N. Gisin

et al.

- Phys.Rev.Lett. 123 (2019) 070403

Bounding The Sets Of Classical And Quantum Correlations In Networks

A. Pozas-Kerstjens
,
R. Rabelo
,
L. Rudnicki
,
R. Chaves
,
D. Cavalcanti

et al.

- Phys.Rev.Lett. 123 (2019) 140503

Experimental demonstration of nonbilocal quantum correlations

D.J. Saunders
,
A.J. Bennet
,
C. Branciard
,
G.J. Pryde

- Sci.Adv. 3 (2017) e1602743
•
DOI:
- 10.1126/sciadv.1602743

Experimental violation of local causality in a quantum network

Gonzalo Carvacho
(
- Rome U. and
- INFN, Rome
)
,
Francesco Andreoli
(
- Rome U. and
- INFN, Rome
)
,
Luca Santodonato
(
- Rome U. and
- INFN, Rome
)
,
Marco Bentivegna
(
- Rome U. and
- INFN, Rome
)
,
Rafael Chaves
(
- Rio Grande do Norte U. and
- Cologne U.
)

et al.

- Nature Commun. 8 (2017) 1, 14775
•
DOI:
- 10.1038/ncomms14775

1-25 of 48
1
2
25 / page