Built on

R. Raussendorf, J. Bermejo-Vega, E. Tyhurst, C. Okay, and M. Zurel, “Phase space simulation method for quantum computation with magic states on qubits,” (2019), arXiv:1905.05374
Original
1905
Earlier work this paper cites.
V. Havlíc̆ek and J. Barrett, “Simple communication complexity separation from quantum state antidistinguishability,” (2019), arXiv:1911.01927
Original
1911
Earlier work this paper cites.
E. Specker, “Die logik nicht gleichzeitig entsc heidbarer aussagen,” Dialectica 14
1960
Earlier work this paper cites.
J. 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,” Journal of Mathematics and Mechanics 17
1967
Earlier work this paper cites.
P. Frankl and V. Rödl, “Forbidden intersections,” Trans. Amer. Math. Soc. 300
1987
Earlier work this paper cites.
H. Buhrman, R. Cleve, and A. Wigderson, “Quantum vs. classical communication and computation,” in STOC ’98: Proceedings of the thirtieth annual ACM symposium on Theory of computing , edited by J. Vitter (ACM, New York, NY, USA, 1998) pp. 63–68, arXiv:quant-ph/9802040
1998
Earlier work this paper cites.
G. Brassard, R. Cleve, and A. Tapp, “Cost of exactly simulating quantum entanglement with classical communication,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
V. Rohatgi and A. Saleh, An Introduction to Probability and Statistics , 2nd ed. (Wiley, New York, 2001)
2001
Earlier work this paper cites.
C. Caves, C. Fuchs, and R. Schack, “Conditions for compatibility of quantum-state assignments,” Phys. Rev. A 66
2002
Earlier work this paper cites.
A. Klyachko, “Coherent states, entanglement, and geometric invariant theory,” (2002), arXiv:quant-ph/0206012
2002
Earlier work this paper cites.
E. Galvão, “Discrete Wigner functions and quantum computational speedup,” Phys. Rev. A 71
2005
Earlier work this paper cites.
C. Cormick, G. ao E., D. Gottesman, J. Paz, and A. Pittenger, “Classicality in discrete Wigner functions,” Phys. Rev. A 73
2006
Earlier work this paper cites.
R. Spekkens, “Evidence for the epistemic view of quantum states: A toy theory,” Phys. Rev. A 75
2007
Earlier work this paper cites.
N. Harrigan and T. Rudolph, “Ontological models and the interpretation of contextuality,” (2007), arXiv:0709.4266
Original
2007
Earlier work this paper cites.
I. Bengtsson, “Three ways to look at mutually unbiased bases,” in Foundations of Probability and Physics - 4 , AIP Conference Proceedings, Vol. 889, edited by G. Adenier, C. Fuchs, and A. Khrennikov (AIP, 2007) pp. 40–51, arXiv:quant-ph/0610216
2007
Earlier work this paper cites.
A. Klyachko, M. Can, S. Binicioğlu, and A. Shumovsky, “Simple test for hidden variables in spin-1 systems,” Phys. Rev. Lett. 101
Original
2008
Earlier work this paper cites.
R. Spekkens, D. Buzacott, A. Keehn, B. Toner, and G. Pryde, “Preparation contextuality powers parity-oblivious multiplexing,” Phys. Rev. Lett. 102
Original
2009
Earlier work this paper cites.
J. Anders and D. Browne, “Computational power of correlations,” Phys. Rev. Lett. 102
Original
2009
Earlier work this paper cites.
A. Cabello, S. Severini, and A. Winter, “(Non-)Contextuality of Physical Theories as an Axiom,” (2010), arXiv:1010.2163
Original
2010
Earlier work this paper cites.

Similar

N. Harrigan and R. Spekkens, “Einstein, incompleteness, and the epistemic view of quantum states,” Foundations of Physics 40
Original
2010
Cited alongside, same era.
M. Kleinmann, O. Gühne, J. Portillo, J. Larsson, and A. Cabello, “Memory cost of quantum contextuality,” New J. Phys. 13
Original
2011
Cited alongside, same era.
M. Hall, “Generalisations of the recent Pusey-Barrett-Rudolph theorem for statistical models of quantum phenomena,” (2011), arXiv:1111.6304
Original
2011
Cited alongside, same era.
Y. Liang, R. Spekkens, and H. Wiseman, “Specker’s parable of the overprotective seer: A road to contextuality, nonlocality and complementarity,” Physics Reports 506
Original
2011
Cited alongside, same era.
S. Yu and C. Oh, “State-Independent Proof of Kochen-Specker Theorem with 13 Rays,” Phys. Rev. Lett. 108

Then

C. Branciard, “How ψ \psi -epistemic models fail at explaining the indistinguishability of quantum states,” Phys. Rev. Lett. 113
Original
2014
Later among the works it cites.
N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, “Bell non-locality,” Rev. Mod. Phys. 86
2014
Later among the works it cites.
S. Bandyopadhyay, R. Jain, J. Oppenheim, and C. Perry, “Conclusive exclusion of quantum states,” Phs. Rev. A 89
Original
2014
Later among the works it cites.
O. Maroney, private communication (2014)
2014
Later among the works it cites.
D. Jennings and M. Leifer, “No return to classical reality,” Contemporary Physics 57
Original
2015
Later among the works it cites.

Beyond the bibliography

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

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Reading the bibliography…

2020

Noncontextuality Inequalities from Antidistinguishability

Leifer, Matthew S., Duarte, Cristhiano

Understand

Noncontextuality inequalities are usually derived from the distinguishability properties of quantum states, i.e.

their orthogonality.
Here, we show that antidistinguishability can also be used to derive noncontextuality inequalities.
The Yu-Oh 13 ray noncontextuality inequality can be re-derived and generalized as an instance of our antidistinguishability method.

Built on

R. Raussendorf, J. Bermejo-Vega, E. Tyhurst, C. Okay, and M. Zurel, “Phase space simulation method for quantum computation with magic states on qubits,” (2019), arXiv:1905.05374
Original
1905
Earlier work this paper cites.
V. Havlíc̆ek and J. Barrett, “Simple communication complexity separation from quantum state antidistinguishability,” (2019), arXiv:1911.01927
Original
1911
Earlier work this paper cites.
E. Specker, “Die logik nicht gleichzeitig entsc heidbarer aussagen,” Dialectica 14
1960
Earlier work this paper cites.
J. 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,” Journal of Mathematics and Mechanics 17
1967
Earlier work this paper cites.
P. Frankl and V. Rödl, “Forbidden intersections,” Trans. Amer. Math. Soc. 300
1987
Earlier work this paper cites.
H. Buhrman, R. Cleve, and A. Wigderson, “Quantum vs. classical communication and computation,” in STOC ’98: Proceedings of the thirtieth annual ACM symposium on Theory of computing , edited by J. Vitter (ACM, New York, NY, USA, 1998) pp. 63–68, arXiv:quant-ph/9802040
1998
Earlier work this paper cites.
G. Brassard, R. Cleve, and A. Tapp, “Cost of exactly simulating quantum entanglement with classical communication,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
V. Rohatgi and A. Saleh, An Introduction to Probability and Statistics , 2nd ed. (Wiley, New York, 2001)
2001
Earlier work this paper cites.
C. Caves, C. Fuchs, and R. Schack, “Conditions for compatibility of quantum-state assignments,” Phys. Rev. A 66
2002
Earlier work this paper cites.
A. Klyachko, “Coherent states, entanglement, and geometric invariant theory,” (2002), arXiv:quant-ph/0206012
2002
Earlier work this paper cites.
E. Galvão, “Discrete Wigner functions and quantum computational speedup,” Phys. Rev. A 71
2005
Earlier work this paper cites.
C. Cormick, G. ao E., D. Gottesman, J. Paz, and A. Pittenger, “Classicality in discrete Wigner functions,” Phys. Rev. A 73
2006
Earlier work this paper cites.
R. Spekkens, “Evidence for the epistemic view of quantum states: A toy theory,” Phys. Rev. A 75
2007
Earlier work this paper cites.
N. Harrigan and T. Rudolph, “Ontological models and the interpretation of contextuality,” (2007), arXiv:0709.4266
Original
2007
Earlier work this paper cites.
I. Bengtsson, “Three ways to look at mutually unbiased bases,” in Foundations of Probability and Physics - 4 , AIP Conference Proceedings, Vol. 889, edited by G. Adenier, C. Fuchs, and A. Khrennikov (AIP, 2007) pp. 40–51, arXiv:quant-ph/0610216
2007
Earlier work this paper cites.
A. Klyachko, M. Can, S. Binicioğlu, and A. Shumovsky, “Simple test for hidden variables in spin-1 systems,” Phys. Rev. Lett. 101
Original
2008
Earlier work this paper cites.
R. Spekkens, D. Buzacott, A. Keehn, B. Toner, and G. Pryde, “Preparation contextuality powers parity-oblivious multiplexing,” Phys. Rev. Lett. 102
Original
2009
Earlier work this paper cites.
J. Anders and D. Browne, “Computational power of correlations,” Phys. Rev. Lett. 102
Original
2009
Earlier work this paper cites.
A. Cabello, S. Severini, and A. Winter, “(Non-)Contextuality of Physical Theories as an Axiom,” (2010), arXiv:1010.2163
Original
2010
Earlier work this paper cites.

Similar

N. Harrigan and R. Spekkens, “Einstein, incompleteness, and the epistemic view of quantum states,” Foundations of Physics 40
Original
2010
Cited alongside, same era.
M. Kleinmann, O. Gühne, J. Portillo, J. Larsson, and A. Cabello, “Memory cost of quantum contextuality,” New J. Phys. 13
Original
2011
Cited alongside, same era.
M. Hall, “Generalisations of the recent Pusey-Barrett-Rudolph theorem for statistical models of quantum phenomena,” (2011), arXiv:1111.6304
Original
2011
Cited alongside, same era.
Y. Liang, R. Spekkens, and H. Wiseman, “Specker’s parable of the overprotective seer: A road to contextuality, nonlocality and complementarity,” Physics Reports 506
Original
2011
Cited alongside, same era.
S. Yu and C. Oh, “State-Independent Proof of Kochen-Specker Theorem with 13 Rays,” Phys. Rev. Lett. 108

Then

C. Branciard, “How ψ \psi -epistemic models fail at explaining the indistinguishability of quantum states,” Phys. Rev. Lett. 113
Original
2014
Later among the works it cites.
N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, “Bell non-locality,” Rev. Mod. Phys. 86
2014
Later among the works it cites.
S. Bandyopadhyay, R. Jain, J. Oppenheim, and C. Perry, “Conclusive exclusion of quantum states,” Phs. Rev. A 89
Original
2014
Later among the works it cites.
O. Maroney, private communication (2014)
2014
Later among the works it cites.
D. Jennings and M. Leifer, “No return to classical reality,” Contemporary Physics 57
Original
2015
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Original

2012

Cited alongside, same era.

M. Pusey, J. Barrett, and T. Rudolph, “On the reality of the quantum state,” Nature Physics 8

Original

2012

Cited alongside, same era.

M. Schlosshauer and A. Fine, “Implications of the Pusey-Barrett-Rudolph Quantum No-Go Theorem,” Phys. Rev. Lett. 108

Original

2012

Cited alongside, same era.

P. Lewis, D. Jennings, J. Barrett, and T. Rudolph, “Distinct quantum states can be compatible with a single state of reality,” Phys. Rev. Lett. 109

Original

2012

Cited alongside, same era.

O. Maroney, “How statistical are quantum states?” (2012), arXiv:1207.6906

Original

2012

Cited alongside, same era.

I. Bengtsson, K. Blanchfield, and A. Cabello, “A Kochen-Specker inequality from a SIC,” Phys. Lett. A 376

Original

2012

Cited alongside, same era.

D. Emerson, J.and Serbin, C. Sutherland, and V. Veitch, “The whole is greater than the sum of the parts: On the possibility of purely statistical interpretations of quantum theory,” (2013), arXiv:1312.1345

Original

2013

Cited alongside, same era.

S. Aaronson, A. Bouland, L. Chua, and G. Lowther, “Psi-Epistemic Theories: The Role of Symmetry,” Phys. Rev. A 88

Original

2013

Cited alongside, same era.

M. Ringbauer, B. Duffus, C. Branciard, E. Cavalcanti, A. White, and A. Fedrizzi, “Measurements on the reality of the wavefunction,” Nature Physics 11

Original

2015