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R. Uola, A. C. S. Costa, H. C. Nguyen, and O. Gühne, Quantum steering, Reviews of Modern Physics 92
Original
1903
Earlier work this paper cites.
A. Tavakoli and R. Uola, Measurement incompatibility and steering are necessary and sufficient for operational contextuality, Physical Review Research 2
Original
1905
Earlier work this paper cites.
D. Schmid, J. H. Selby, E. Wolfe, R. Kunjwal, and R. W. Spekkens, Characterization of Noncontextuality in the Framework of Generalized Probabilistic Theories, PRX Quantum 2
Original
1911
Earlier work this paper cites.
J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Proposed Experiment to Test Local Hidden-Variable Theories, Physical Review Letters 23
1969
Earlier work this paper cites.
J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Proposed Experiment to Test Local Hidden Variable Theories, Physical Review Letters 24
1970
Earlier work this paper cites.
C. H. Bennett, G. Brassard, and N. D. Mermin, Quantum cryptography without bell’s theorem, Physical Review Letters 68
1992
Earlier work this paper cites.
R. T. Rockafellar, Convex Analysis , Princeton Landmarks in Mathematics and Physics (Princeton University Press, 1997)
1997
Earlier work this paper cites.
C. H. Bennett, D. P. DiVincenzo, P. W. Shor, J. A. Smolin, B. M. Terhal, and W. K. Wootters, Remote state preparation, Physical Review Letters 87
2001
Earlier work this paper cites.
V. Gitton and M. P. Woods, Solvable criterion for the contextuality of any prepare-and-measure scenario, Quantum 6
Original
2003
Earlier work this paper cites.
M. Curty, M. Lewenstein, and N. Lütkenhaus, Entanglement as a Precondition for Secure Quantum Key Distribution, Physical Review Letters 92
2004
Earlier work this paper cites.
M. Lostaglio, Certifying quantum signatures in thermodynamics and metrology via contextuality of quantum linear response, Physical Review Letters 125
Original
2004
Earlier work this paper cites.
C. Brukner and V. Vedral, Macroscopic thermodynamical witnesses of quantum entanglement, arXiv:quant-ph/0406040 (2004)
2004
Earlier work this paper cites.
M. R. Dowling, A. C. Doherty, and S. D. Bartlett, Energy as an entanglement witness for quantum many-body systems, Physical Review A 70
2004
Earlier work this paper cites.
R. W. Spekkens, Contextuality for preparations, transformations, and unsharp measurements, Physical Review A 71
2005
Earlier work this paper cites.
G. Tóth, Entanglement witnesses in spin models, Physical Review A 71
2005
Earlier work this paper cites.
O. Gühne and G. Tóth, Entanglement detection, Physics Reports 474
Original
2009
Earlier work this paper cites.
R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Quantum entanglement, Reviews of Modern Physics 81
2009
Earlier work this paper cites.

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Then

P. J. Coles, E. M. Metodiev, and N. Lütkenhaus, Numerical approach for unstructured quantum key distribution, Nature Communications 2016 7:1 7
Original
2016
Later among the works it cites.
A. Krishna, R. W. Spekkens, and E. Wolfe, Deriving robust noncontextuality inequalities from algebraic proofs of the kochen–specker theorem: the peres–mermin square, New Journal of Physics 19
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2017
Later among the works it cites.
D. Schmid and R. W. Spekkens, Contextual advantage for state discrimination, Physical Review X 8
Original
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Later among the works it cites.
B. Amaral and M. Cunha, On Graph Approaches to Contextuality and their Role in Quantum Theory , SpringerBriefs in Mathematics (Springer International Publishing, 2018)
2018
Later among the works it cites.
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2022

Contextuality as a Precondition for Quantum Entanglement

Plávala, Martin, Gühne, Otfried

Understand

Quantum theory features several phenomena which can be considered as resources for information processing tasks.

Some of these effects, such as entanglement, arise in a nonlocal scenario, where a quantum state is distributed between different parties.
Other phenomena, such as contextuality, can be observed if quantum states are prepared and then subjected to sequences of measurements.
We use robust remote state preparation to connect the nonlocal and sequential scenarios and provide an intimate connection between different resources: We prove that entanglement in a nonlocal scenario can arise only if there is preparation and measurement contextuality in the corresponding sequential scenario and that the absence of entanglement implies the absence of contextuality.

Built on

R. Uola, A. C. S. Costa, H. C. Nguyen, and O. Gühne, Quantum steering, Reviews of Modern Physics 92
Original
1903
Earlier work this paper cites.
A. Tavakoli and R. Uola, Measurement incompatibility and steering are necessary and sufficient for operational contextuality, Physical Review Research 2
Original
1905
Earlier work this paper cites.
D. Schmid, J. H. Selby, E. Wolfe, R. Kunjwal, and R. W. Spekkens, Characterization of Noncontextuality in the Framework of Generalized Probabilistic Theories, PRX Quantum 2
Original
1911
Earlier work this paper cites.
J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Proposed Experiment to Test Local Hidden-Variable Theories, Physical Review Letters 23
1969
Earlier work this paper cites.
J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Proposed Experiment to Test Local Hidden Variable Theories, Physical Review Letters 24
1970
Earlier work this paper cites.
C. H. Bennett, G. Brassard, and N. D. Mermin, Quantum cryptography without bell’s theorem, Physical Review Letters 68
1992
Earlier work this paper cites.
R. T. Rockafellar, Convex Analysis , Princeton Landmarks in Mathematics and Physics (Princeton University Press, 1997)
1997
Earlier work this paper cites.
C. H. Bennett, D. P. DiVincenzo, P. W. Shor, J. A. Smolin, B. M. Terhal, and W. K. Wootters, Remote state preparation, Physical Review Letters 87
2001
Earlier work this paper cites.
V. Gitton and M. P. Woods, Solvable criterion for the contextuality of any prepare-and-measure scenario, Quantum 6
Original
2003
Earlier work this paper cites.
M. Curty, M. Lewenstein, and N. Lütkenhaus, Entanglement as a Precondition for Secure Quantum Key Distribution, Physical Review Letters 92
2004
Earlier work this paper cites.
M. Lostaglio, Certifying quantum signatures in thermodynamics and metrology via contextuality of quantum linear response, Physical Review Letters 125
Original
2004
Earlier work this paper cites.
C. Brukner and V. Vedral, Macroscopic thermodynamical witnesses of quantum entanglement, arXiv:quant-ph/0406040 (2004)
2004
Earlier work this paper cites.
M. R. Dowling, A. C. Doherty, and S. D. Bartlett, Energy as an entanglement witness for quantum many-body systems, Physical Review A 70
2004
Earlier work this paper cites.
R. W. Spekkens, Contextuality for preparations, transformations, and unsharp measurements, Physical Review A 71
2005
Earlier work this paper cites.
G. Tóth, Entanglement witnesses in spin models, Physical Review A 71
2005
Earlier work this paper cites.
O. Gühne and G. Tóth, Entanglement detection, Physics Reports 474
Original
2009
Earlier work this paper cites.
R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Quantum entanglement, Reviews of Modern Physics 81
2009
Earlier work this paper cites.