Built on

T. Heinosaari and O. Kerppo, Communication of partial ignorance with qubits, (2019), arXiv:1903.04899
Original
1903
Earlier work this paper cites.
A. F. Ducuara and P. Skrzypczyk, Operational Interpretation of Weight-Based Resource Quantifiers in Convex Quantum Resource Theories, Physical Review Letters 125
Original
1909
Earlier work this paper cites.
R. Uola, T. Bullock, T. Kraft, J.-P. Pellonpää, and N. Brunner, All Quantum Resources Provide an Advantage in Exclusion Tasks, Physical Review Letters 125
Original
1909
Earlier work this paper cites.
V. Havlíček and J. Barrett, Simple communication complexity separation from quantum state antidistinguishability, Physical Review Research 2
Original
1911
Earlier work this paper cites.
J. S. Bell, On the problem of hidden variables in quantum mechanics, Rev. Mod. Phys. 38
1966
Earlier work this paper cites.
S. Kochen and E. Specker, The Problem of Hidden Variables in Quantum Mechanics, Indiana University Mathematics Journal 17
1967
Earlier work this paper cites.
F. J. Belinfante, A survey of hidden-variables theories , International series of monographs in natural philosophy (Pergamon Press, Oxford, 1973)
1973
Earlier work this paper cites.
A. Cabello, J. Estebaranz, and G. García-Alcaine, Bell-kochen-specker theorem: A proof with 18 vectors, Physics Letters A 212
1996
Earlier work this paper cites.
M. Leifer and C. Duarte, Noncontextuality inequalities from antidistinguishability, Physical Review A 101
Original
2001
Earlier work this paper cites.
C. M. Caves, C. A. Fuchs, and R. Schack, Conditions for compatibility of quantum-state assignments, Physical Review A 66
2002
Earlier work this paper cites.
A. Kenfack and K. Życzkowski, Negativity of the wigner function as an indicator of non-classicality, Journal of Optics B: Quantum and Semiclassical Optics 6
2004
Earlier work this paper cites.
E. F. Galvão, Discrete wigner functions and quantum computational speedup, Phys. Rev. A 71
2005
Earlier work this paper cites.
J. Anders and D. E. Browne, Computational power of correlations, Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, 2010)
2010
Earlier work this paper cites.
T. S. Cubitt, D. Leung, W. Matthews, and A. Winter, Improving zero-error classical communication with entanglement, Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
M. Kleinmann, O. Gühne, J. R. Portillo, J. Åke Larsson, and A. Cabello, Memory cost of quantum contextuality, New Journal of Physics 13
2011
Earlier work this paper cites.
V. Veitch, C. Ferrie, D. Gross, and J. Emerson, Negative quasi-probability as a resource for quantum computation, New Journal of Physics 14
Original
2012
Earlier work this paper cites.

Similar

M. F. Pusey, J. Barrett, and T. Rudolph, On the reality of the quantum state, Nature Physics 8
Original
2012
Cited alongside, same era.
S. Yu and C. H. Oh, State-Independent Proof of Kochen-Specker Theorem with 13 Rays, Physical Review Letters 108
Original
2012
Cited alongside, same era.
M. S. Leifer, Is the Quantum State Real? An Extended Review of psi-ontology Theorems, Quanta 3
Original
2013
Cited alongside, same era.
R. Raussendorf, Contextuality in measurement-based quantum computation, Phys. Rev. A 88
2013
Cited alongside, same era.
V. Veitch, S. A. H. Mousavian, D. Gottesman, and J. Emerson, The resource theory of stabilizer quantum computation, New Journal of Physics 16
Original
2014

Then

D. Schmid and R. W. Spekkens, Contextual Advantage for State Discrimination, Physical Review X 8
Original
2018
Later among the works it cites.
A. Karanjai, J. J. Wallman, and S. D. Bartlett, Contextuality bounds the efficiency of classical simulation of quantum processes, (2018), arXiv:1802.07744
Original
2018
Later among the works it cites.
T. Heinosaari and O. Kerppo, Antidistinguishability of Pure Quantum States, (2018), arXiv:1804.10457
Original
2018
Later among the works it cites.
R. Raussendorf, J. Bermejo-Vega, E. Tyhurst, C. Okay, and M. Zurel, Phase-space-simulation method for quantum computation with magic states on qubits, Phys. Rev. A 101
2020
Later among the works it cites.
L. Li, K. Bu, and J. Wu, Contextual robustness: An operational measure of contextuality, Physical Review A 101

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2024

How contextuality and antidistinguishability are related

Srikumar, Maiyuren, Bartlett, Stephen D., Karanjai, Angela

Understand

Contextuality is a key characteristic that separates quantum from classical phenomena and an important tool in understanding the potential advantage of quantum computation.

However, when assessing the quantum resources available for quantum information processing, there is no formalism to determine whether a set of states can exhibit contextuality and whether such proofs of contextuality indicate anything about the resourcefulness of that set.
Introducing a well-motivated notion of what it means for a set of states to be contextual, we establish a relationship between contextuality and antidistinguishability of sets of states.
We go beyond the traditional notions of contextuality and antidistinguishability and treat both properties as resources, demonstrating that the degree of contextuality within a set of states has a direct connection to its level of antidistinguishability.

Built on

T. Heinosaari and O. Kerppo, Communication of partial ignorance with qubits, (2019), arXiv:1903.04899
Original
1903
Earlier work this paper cites.
A. F. Ducuara and P. Skrzypczyk, Operational Interpretation of Weight-Based Resource Quantifiers in Convex Quantum Resource Theories, Physical Review Letters 125
Original
1909
Earlier work this paper cites.
R. Uola, T. Bullock, T. Kraft, J.-P. Pellonpää, and N. Brunner, All Quantum Resources Provide an Advantage in Exclusion Tasks, Physical Review Letters 125
Original
1909
Earlier work this paper cites.
V. Havlíček and J. Barrett, Simple communication complexity separation from quantum state antidistinguishability, Physical Review Research 2
Original
1911
Earlier work this paper cites.
J. S. Bell, On the problem of hidden variables in quantum mechanics, Rev. Mod. Phys. 38
1966
Earlier work this paper cites.
S. Kochen and E. Specker, The Problem of Hidden Variables in Quantum Mechanics, Indiana University Mathematics Journal 17
1967
Earlier work this paper cites.
F. J. Belinfante, A survey of hidden-variables theories , International series of monographs in natural philosophy (Pergamon Press, Oxford, 1973)
1973
Earlier work this paper cites.
A. Cabello, J. Estebaranz, and G. García-Alcaine, Bell-kochen-specker theorem: A proof with 18 vectors, Physics Letters A 212
1996
Earlier work this paper cites.
M. Leifer and C. Duarte, Noncontextuality inequalities from antidistinguishability, Physical Review A 101
Original
2001
Earlier work this paper cites.
C. M. Caves, C. A. Fuchs, and R. Schack, Conditions for compatibility of quantum-state assignments, Physical Review A 66
2002
Earlier work this paper cites.
A. Kenfack and K. Życzkowski, Negativity of the wigner function as an indicator of non-classicality, Journal of Optics B: Quantum and Semiclassical Optics 6
2004
Earlier work this paper cites.
E. F. Galvão, Discrete wigner functions and quantum computational speedup, Phys. Rev. A 71
2005
Earlier work this paper cites.
J. Anders and D. E. Browne, Computational power of correlations, Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, 2010)
2010
Earlier work this paper cites.
T. S. Cubitt, D. Leung, W. Matthews, and A. Winter, Improving zero-error classical communication with entanglement, Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
M. Kleinmann, O. Gühne, J. R. Portillo, J. Åke Larsson, and A. Cabello, Memory cost of quantum contextuality, New Journal of Physics 13
2011
Earlier work this paper cites.
V. Veitch, C. Ferrie, D. Gross, and J. Emerson, Negative quasi-probability as a resource for quantum computation, New Journal of Physics 14
Original
2012
Earlier work this paper cites.

Similar

M. F. Pusey, J. Barrett, and T. Rudolph, On the reality of the quantum state, Nature Physics 8
Original
2012
Cited alongside, same era.
S. Yu and C. H. Oh, State-Independent Proof of Kochen-Specker Theorem with 13 Rays, Physical Review Letters 108
Original
2012
Cited alongside, same era.
M. S. Leifer, Is the Quantum State Real? An Extended Review of psi-ontology Theorems, Quanta 3
Original
2013
Cited alongside, same era.
R. Raussendorf, Contextuality in measurement-based quantum computation, Phys. Rev. A 88
2013
Cited alongside, same era.
V. Veitch, S. A. H. Mousavian, D. Gottesman, and J. Emerson, The resource theory of stabilizer quantum computation, New Journal of Physics 16
Original
2014

Then

D. Schmid and R. W. Spekkens, Contextual Advantage for State Discrimination, Physical Review X 8
Original
2018
Later among the works it cites.
A. Karanjai, J. J. Wallman, and S. D. Bartlett, Contextuality bounds the efficiency of classical simulation of quantum processes, (2018), arXiv:1802.07744
Original
2018
Later among the works it cites.
T. Heinosaari and O. Kerppo, Antidistinguishability of Pure Quantum States, (2018), arXiv:1804.10457
Original
2018
Later among the works it cites.
R. Raussendorf, J. Bermejo-Vega, E. Tyhurst, C. Okay, and M. Zurel, Phase-space-simulation method for quantum computation with magic states on qubits, Phys. Rev. A 101
2020
Later among the works it cites.
L. Li, K. Bu, and J. Wu, Contextual robustness: An operational measure of contextuality, Physical Review A 101

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

M. Howard, J. Wallman, V. Veitch, and J. Emerson, Contextuality supplies the ‘magic’ for quantum computation, Nature 510

Original

2014

Cited alongside, same era.

S. Bandyopadhyay, R. Jain, J. Oppenheim, and C. Perry, Conclusive exclusion of quantum states, Physical Review A 89

Original

2014

Cited alongside, same era.

R. J. Collins, R. J. Donaldson, V. Dunjko, P. Wallden, P. J. Clarke, E. Andersson, J. Jeffers, and G. S. Buller, Realization of Quantum Digital Signatures without the Requirement of Quantum Memory, Physical Review Letters 113

Original

2014

Cited alongside, same era.

J. Barrett, E. G. Cavalcanti, R. Lal, and O. J. E. Maroney, No psi-epistemic model can fully explain the indistinguishability of quantum states, Physical Review Letters 112

Original

2014

Cited alongside, same era.

A. Cabello, S. Severini, and A. Winter, Graph-Theoretic Approach to Quantum Correlations, Physical Review Letters 112

Original

2014

Cited alongside, same era.

P. Lisoněk, P. Badzia¸g, J. R. Portillo, and A. Cabello, Kochen-specker set with seven contexts, Phys. Rev. A 89

2014

Cited alongside, same era.

H. Pashayan, J. J. Wallman, and S. D. Bartlett, Estimating Outcome Probabilities of Quantum Circuits Using Quasiprobabilities, Physical Review Letters 115

Original

2015

Cited alongside, same era.

2020