N. de Silva, “Graph-theoretic strengths of contextuality,” Phys. Rev. A 95, 032108 (2017).

[Crossref]

M. Howard and E. Campbell, “Application of a resource theory for magic states to fault-tolerant quantum computing,” Phys. Rev. Lett. 118, 090501 (2017).

[Crossref]

G. Cañas, E. Acuña, J. Cariñe, J. F. Barra, E. S. Gómez, G. B. Xavier, G. Lima, and A. Cabello, “Experimental demonstration of the connection between quantum contextuality and graph theory,” Phys. Rev. A 94, 012337 (2016).

[Crossref]

A. Cabello, “Simple method for experimentally testing any form of quantum contextuality,” Phys. Rev. A 93, 032102 (2016).

[Crossref]

B. Amaral, M. T. Cunha, and A. Cabello, “Quantum theory allows for absolute maximal contextuality,” Phys. Rev. A 92, 062125 (2015).

[Crossref]

Z. P. Xu, H. Y. Su, and J. L. Chen, “Quantum contextuality of a qutrit state,” Phys. Rev. A 92, 012104 (2015).

[Crossref]

R. Kunjwal and R. W. Spekkens, “From the Kochen-Specker theorem to noncontextuality inequalities without assuming determinism,” Phys. Rev. Lett. 115, 110403 (2015).

[Crossref]

A. Acín, T. Fritz, A. Leverrier, and A. B. Sainz, “A combinatorial approach to nonlocality and contextuality,” Commun. Math. Phys. 334, 533–628 (2015).

[Crossref]

N. Delfosse, P. A. Guerin, J. Bian, and R. Raussendorf, “Wigner function negativity and contextuality in quantum computation on rebits,” Phys. Rev. X 5, 021003 (2015).

[Crossref]

M. Howard, J. Wallman, V. Veitch, and J. Emerson, “Contextuality supplies the ‘magic’ for quantum computation,” Nature 510, 351–355 (2014).

[Crossref]

E. T. Campbell, “Enhanced fault-tolerant quantum computation in d-level systems,” Phys. Rev. Lett. 113, 230501 (2014).

[Crossref]

A. Cabello, S. Severini, and A. Winter, “Graph-theoretic approach to quantum correlations,” Phys. Rev. Lett. 112, 040401 (2014).

[Crossref]

C. Heunen, T. Fritz, and M. L. Reyes, “Quantum theory realizes all joint measurability graphs,” Phys. Rev. A 89, 032121 (2014).

[Crossref]

R. Kunjwal, C. Heunen, and T. Fritz, “Quantum realization of arbitrary joint measurability structures,” Phys. Rev. A 89, 052126 (2014).

[Crossref]

S. Castelletto, B. C. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13, 151–156 (2014).

[Crossref]

A. Cabello, “Simple explanation of the quantum violation of a fundamental inequality,” Phys. Rev. Lett. 110, 060402 (2013).

[Crossref]

B. Yan, “Quantum correlations are tightly bound by the exclusivity principle,” Phys. Rev. Lett. 110, 260406 (2013).

[Crossref]

T. Fritz, A. B. Sainz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, and A. Acín, “Local orthogonality as a multipartite principle for quantum correlations,” Nat. Commun. 4, 2263 (2013).

[Crossref]

E. Nagali, V. D’Ambrosio, F. Sciarrino, and A. Cabello, “Experimental observation of impossible-to-beat quantum advantage on a hybrid photonic system,” Phys. Rev. Lett. 108, 090501 (2012).

[Crossref]

E. Amselem, L. E. Danielsen, A. J. López-Tarrida, J. R. Portillo, M. Bourennane, and A. Cabello, “Experimental fully contextual correlations,” Phys. Rev. Lett. 108, 200405 (2012).

[Crossref]

S. Yu and C. H. Oh, “State-independent proof of Kochen-Specker theorem with 13 rays,” Phys. Rev. Lett. 108, 030402 (2012).

[Crossref]

R. Lapkiewicz, P. Li, C. Schaeff, N. K. Langford, S. Ramelow, M. Wieśniak, and A. Zeilinger, “Experimental non-classicality of an indivisible quantum system,” Nature 474, 490–493 (2011).

[Crossref]

S. Abramsky and A. Brandenburger, “The sheaf-theoretic structure of non-locality and contextuality,” New J. Phys. 13, 113036 (2011).

[Crossref]

G. Kirchmair, F. Zähringer, R. Gerritsma, M. Kleinmann, O. Gühne, A. Cabello, R. Blatt, and C. F. Roos, “State-independent experimental test of quantum contextuality,” Nature 460, 494–497 (2009).

[Crossref]

A. A. Klyachko, M. A. Can, S. Binicioğlu, and A. S. Shumovsky, “Simple test for hidden variables in spin-1 systems,” Phys. Rev. Lett. 101, 020403 (2008).

[Crossref]

A. Cabello, J. M. Estebaranz, and G. Garcia-Alcaine, “Bell-Kochen-Specker theorem: a proof with 18 vectors,” Phys. Lett. A 212, 183–187 (1996).

[Crossref]

M. Grötschel, “Relaxations of vertex packing,” J. Comb. Theory B 40, 330–343 (1986).

[Crossref]

B. Bollobás, “The independence ratio of regular graphs,” Proc. Am. Math. Soc. 83, 433–436 (1981).

[Crossref]

L. Lovász, “On the Shannon capacity of a graph,” IEEE Trans. Inf. Theory 25, 1–7 (1979).

[Crossref]

S. Kochen and E. P. Specker, “The problem of hidden variables in quantum mechanics,” J. Math. Mech. 17, 59–87 (1967).

[Crossref]

J. S. Bell, “On the problem of hidden variables in quantum mechanics,” Rev. Mod. Phys. 38, 447–452 (1966).

[Crossref]

S. Abramsky and A. Brandenburger, “The sheaf-theoretic structure of non-locality and contextuality,” New J. Phys. 13, 113036 (2011).

[Crossref]

A. Acín, T. Fritz, A. Leverrier, and A. B. Sainz, “A combinatorial approach to nonlocality and contextuality,” Commun. Math. Phys. 334, 533–628 (2015).

[Crossref]

T. Fritz, A. B. Sainz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, and A. Acín, “Local orthogonality as a multipartite principle for quantum correlations,” Nat. Commun. 4, 2263 (2013).

[Crossref]

G. Cañas, E. Acuña, J. Cariñe, J. F. Barra, E. S. Gómez, G. B. Xavier, G. Lima, and A. Cabello, “Experimental demonstration of the connection between quantum contextuality and graph theory,” Phys. Rev. A 94, 012337 (2016).

[Crossref]

B. Amaral, M. T. Cunha, and A. Cabello, “Quantum theory allows for absolute maximal contextuality,” Phys. Rev. A 92, 062125 (2015).

[Crossref]

E. Amselem, L. E. Danielsen, A. J. López-Tarrida, J. R. Portillo, M. Bourennane, and A. Cabello, “Experimental fully contextual correlations,” Phys. Rev. Lett. 108, 200405 (2012).

[Crossref]

T. Fritz, A. B. Sainz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, and A. Acín, “Local orthogonality as a multipartite principle for quantum correlations,” Nat. Commun. 4, 2263 (2013).

[Crossref]

G. Cañas, E. Acuña, J. Cariñe, J. F. Barra, E. S. Gómez, G. B. Xavier, G. Lima, and A. Cabello, “Experimental demonstration of the connection between quantum contextuality and graph theory,” Phys. Rev. A 94, 012337 (2016).

[Crossref]

J. S. Bell, “On the problem of hidden variables in quantum mechanics,” Rev. Mod. Phys. 38, 447–452 (1966).

[Crossref]

N. Delfosse, P. A. Guerin, J. Bian, and R. Raussendorf, “Wigner function negativity and contextuality in quantum computation on rebits,” Phys. Rev. X 5, 021003 (2015).

[Crossref]

A. A. Klyachko, M. A. Can, S. Binicioğlu, and A. S. Shumovsky, “Simple test for hidden variables in spin-1 systems,” Phys. Rev. Lett. 101, 020403 (2008).

[Crossref]

G. Kirchmair, F. Zähringer, R. Gerritsma, M. Kleinmann, O. Gühne, A. Cabello, R. Blatt, and C. F. Roos, “State-independent experimental test of quantum contextuality,” Nature 460, 494–497 (2009).

[Crossref]

B. Bollobás, “The independence ratio of regular graphs,” Proc. Am. Math. Soc. 83, 433–436 (1981).

[Crossref]

E. Amselem, L. E. Danielsen, A. J. López-Tarrida, J. R. Portillo, M. Bourennane, and A. Cabello, “Experimental fully contextual correlations,” Phys. Rev. Lett. 108, 200405 (2012).

[Crossref]

S. Abramsky and A. Brandenburger, “The sheaf-theoretic structure of non-locality and contextuality,” New J. Phys. 13, 113036 (2011).

[Crossref]

T. Fritz, A. B. Sainz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, and A. Acín, “Local orthogonality as a multipartite principle for quantum correlations,” Nat. Commun. 4, 2263 (2013).

[Crossref]

G. Cañas, E. Acuña, J. Cariñe, J. F. Barra, E. S. Gómez, G. B. Xavier, G. Lima, and A. Cabello, “Experimental demonstration of the connection between quantum contextuality and graph theory,” Phys. Rev. A 94, 012337 (2016).

[Crossref]

A. Cabello, “Simple method for experimentally testing any form of quantum contextuality,” Phys. Rev. A 93, 032102 (2016).

[Crossref]

B. Amaral, M. T. Cunha, and A. Cabello, “Quantum theory allows for absolute maximal contextuality,” Phys. Rev. A 92, 062125 (2015).

[Crossref]

A. Cabello, S. Severini, and A. Winter, “Graph-theoretic approach to quantum correlations,” Phys. Rev. Lett. 112, 040401 (2014).

[Crossref]

A. Cabello, “Simple explanation of the quantum violation of a fundamental inequality,” Phys. Rev. Lett. 110, 060402 (2013).

[Crossref]

E. Amselem, L. E. Danielsen, A. J. López-Tarrida, J. R. Portillo, M. Bourennane, and A. Cabello, “Experimental fully contextual correlations,” Phys. Rev. Lett. 108, 200405 (2012).

[Crossref]

E. Nagali, V. D’Ambrosio, F. Sciarrino, and A. Cabello, “Experimental observation of impossible-to-beat quantum advantage on a hybrid photonic system,” Phys. Rev. Lett. 108, 090501 (2012).

[Crossref]

G. Kirchmair, F. Zähringer, R. Gerritsma, M. Kleinmann, O. Gühne, A. Cabello, R. Blatt, and C. F. Roos, “State-independent experimental test of quantum contextuality,” Nature 460, 494–497 (2009).

[Crossref]

A. Cabello, J. M. Estebaranz, and G. Garcia-Alcaine, “Bell-Kochen-Specker theorem: a proof with 18 vectors,” Phys. Lett. A 212, 183–187 (1996).

[Crossref]

M. Howard and E. Campbell, “Application of a resource theory for magic states to fault-tolerant quantum computing,” Phys. Rev. Lett. 118, 090501 (2017).

[Crossref]

E. T. Campbell, “Enhanced fault-tolerant quantum computation in d-level systems,” Phys. Rev. Lett. 113, 230501 (2014).

[Crossref]

A. A. Klyachko, M. A. Can, S. Binicioğlu, and A. S. Shumovsky, “Simple test for hidden variables in spin-1 systems,” Phys. Rev. Lett. 101, 020403 (2008).

[Crossref]

G. Cañas, E. Acuña, J. Cariñe, J. F. Barra, E. S. Gómez, G. B. Xavier, G. Lima, and A. Cabello, “Experimental demonstration of the connection between quantum contextuality and graph theory,” Phys. Rev. A 94, 012337 (2016).

[Crossref]

G. Cañas, E. Acuña, J. Cariñe, J. F. Barra, E. S. Gómez, G. B. Xavier, G. Lima, and A. Cabello, “Experimental demonstration of the connection between quantum contextuality and graph theory,” Phys. Rev. A 94, 012337 (2016).

[Crossref]

S. Castelletto, B. C. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13, 151–156 (2014).

[Crossref]

T. Fritz, A. B. Sainz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, and A. Acín, “Local orthogonality as a multipartite principle for quantum correlations,” Nat. Commun. 4, 2263 (2013).

[Crossref]

Z. P. Xu, H. Y. Su, and J. L. Chen, “Quantum contextuality of a qutrit state,” Phys. Rev. A 92, 012104 (2015).

[Crossref]

B. Amaral, M. T. Cunha, and A. Cabello, “Quantum theory allows for absolute maximal contextuality,” Phys. Rev. A 92, 062125 (2015).

[Crossref]

E. Nagali, V. D’Ambrosio, F. Sciarrino, and A. Cabello, “Experimental observation of impossible-to-beat quantum advantage on a hybrid photonic system,” Phys. Rev. Lett. 108, 090501 (2012).

[Crossref]

E. Amselem, L. E. Danielsen, A. J. López-Tarrida, J. R. Portillo, M. Bourennane, and A. Cabello, “Experimental fully contextual correlations,” Phys. Rev. Lett. 108, 200405 (2012).

[Crossref]

N. de Silva, “Graph-theoretic strengths of contextuality,” Phys. Rev. A 95, 032108 (2017).

[Crossref]

N. Delfosse, P. A. Guerin, J. Bian, and R. Raussendorf, “Wigner function negativity and contextuality in quantum computation on rebits,” Phys. Rev. X 5, 021003 (2015).

[Crossref]

M. Howard, J. Wallman, V. Veitch, and J. Emerson, “Contextuality supplies the ‘magic’ for quantum computation,” Nature 510, 351–355 (2014).

[Crossref]

A. Cabello, J. M. Estebaranz, and G. Garcia-Alcaine, “Bell-Kochen-Specker theorem: a proof with 18 vectors,” Phys. Lett. A 212, 183–187 (1996).

[Crossref]

A. Acín, T. Fritz, A. Leverrier, and A. B. Sainz, “A combinatorial approach to nonlocality and contextuality,” Commun. Math. Phys. 334, 533–628 (2015).

[Crossref]

R. Kunjwal, C. Heunen, and T. Fritz, “Quantum realization of arbitrary joint measurability structures,” Phys. Rev. A 89, 052126 (2014).

[Crossref]

C. Heunen, T. Fritz, and M. L. Reyes, “Quantum theory realizes all joint measurability graphs,” Phys. Rev. A 89, 032121 (2014).

[Crossref]

T. Fritz, A. B. Sainz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, and A. Acín, “Local orthogonality as a multipartite principle for quantum correlations,” Nat. Commun. 4, 2263 (2013).

[Crossref]

S. Castelletto, B. C. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13, 151–156 (2014).

[Crossref]

A. Cabello, J. M. Estebaranz, and G. Garcia-Alcaine, “Bell-Kochen-Specker theorem: a proof with 18 vectors,” Phys. Lett. A 212, 183–187 (1996).

[Crossref]

G. Kirchmair, F. Zähringer, R. Gerritsma, M. Kleinmann, O. Gühne, A. Cabello, R. Blatt, and C. F. Roos, “State-independent experimental test of quantum contextuality,” Nature 460, 494–497 (2009).

[Crossref]

G. Cañas, E. Acuña, J. Cariñe, J. F. Barra, E. S. Gómez, G. B. Xavier, G. Lima, and A. Cabello, “Experimental demonstration of the connection between quantum contextuality and graph theory,” Phys. Rev. A 94, 012337 (2016).

[Crossref]

M. Grötschel, “Relaxations of vertex packing,” J. Comb. Theory B 40, 330–343 (1986).

[Crossref]

N. Delfosse, P. A. Guerin, J. Bian, and R. Raussendorf, “Wigner function negativity and contextuality in quantum computation on rebits,” Phys. Rev. X 5, 021003 (2015).

[Crossref]

G. Kirchmair, F. Zähringer, R. Gerritsma, M. Kleinmann, O. Gühne, A. Cabello, R. Blatt, and C. F. Roos, “State-independent experimental test of quantum contextuality,” Nature 460, 494–497 (2009).

[Crossref]

R. Kunjwal, C. Heunen, and T. Fritz, “Quantum realization of arbitrary joint measurability structures,” Phys. Rev. A 89, 052126 (2014).

[Crossref]

C. Heunen, T. Fritz, and M. L. Reyes, “Quantum theory realizes all joint measurability graphs,” Phys. Rev. A 89, 032121 (2014).

[Crossref]

M. Howard and E. Campbell, “Application of a resource theory for magic states to fault-tolerant quantum computing,” Phys. Rev. Lett. 118, 090501 (2017).

[Crossref]

M. Howard, J. Wallman, V. Veitch, and J. Emerson, “Contextuality supplies the ‘magic’ for quantum computation,” Nature 510, 351–355 (2014).

[Crossref]

S. Castelletto, B. C. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13, 151–156 (2014).

[Crossref]

S. Castelletto, B. C. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13, 151–156 (2014).

[Crossref]

G. Kirchmair, F. Zähringer, R. Gerritsma, M. Kleinmann, O. Gühne, A. Cabello, R. Blatt, and C. F. Roos, “State-independent experimental test of quantum contextuality,” Nature 460, 494–497 (2009).

[Crossref]

G. Kirchmair, F. Zähringer, R. Gerritsma, M. Kleinmann, O. Gühne, A. Cabello, R. Blatt, and C. F. Roos, “State-independent experimental test of quantum contextuality,” Nature 460, 494–497 (2009).

[Crossref]

A. A. Klyachko, M. A. Can, S. Binicioğlu, and A. S. Shumovsky, “Simple test for hidden variables in spin-1 systems,” Phys. Rev. Lett. 101, 020403 (2008).

[Crossref]

S. Kochen and E. P. Specker, “The problem of hidden variables in quantum mechanics,” J. Math. Mech. 17, 59–87 (1967).

[Crossref]

R. Kunjwal and R. W. Spekkens, “From the Kochen-Specker theorem to noncontextuality inequalities without assuming determinism,” Phys. Rev. Lett. 115, 110403 (2015).

[Crossref]

R. Kunjwal, C. Heunen, and T. Fritz, “Quantum realization of arbitrary joint measurability structures,” Phys. Rev. A 89, 052126 (2014).

[Crossref]

R. Lapkiewicz, P. Li, C. Schaeff, N. K. Langford, S. Ramelow, M. Wieśniak, and A. Zeilinger, “Experimental non-classicality of an indivisible quantum system,” Nature 474, 490–493 (2011).

[Crossref]

R. Lapkiewicz, P. Li, C. Schaeff, N. K. Langford, S. Ramelow, M. Wieśniak, and A. Zeilinger, “Experimental non-classicality of an indivisible quantum system,” Nature 474, 490–493 (2011).

[Crossref]

A. Acín, T. Fritz, A. Leverrier, and A. B. Sainz, “A combinatorial approach to nonlocality and contextuality,” Commun. Math. Phys. 334, 533–628 (2015).

[Crossref]

T. Fritz, A. B. Sainz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, and A. Acín, “Local orthogonality as a multipartite principle for quantum correlations,” Nat. Commun. 4, 2263 (2013).

[Crossref]

R. Lapkiewicz, P. Li, C. Schaeff, N. K. Langford, S. Ramelow, M. Wieśniak, and A. Zeilinger, “Experimental non-classicality of an indivisible quantum system,” Nature 474, 490–493 (2011).

[Crossref]

G. Cañas, E. Acuña, J. Cariñe, J. F. Barra, E. S. Gómez, G. B. Xavier, G. Lima, and A. Cabello, “Experimental demonstration of the connection between quantum contextuality and graph theory,” Phys. Rev. A 94, 012337 (2016).

[Crossref]

E. Amselem, L. E. Danielsen, A. J. López-Tarrida, J. R. Portillo, M. Bourennane, and A. Cabello, “Experimental fully contextual correlations,” Phys. Rev. Lett. 108, 200405 (2012).

[Crossref]

L. Lovász, “On the Shannon capacity of a graph,” IEEE Trans. Inf. Theory 25, 1–7 (1979).

[Crossref]

E. Nagali, V. D’Ambrosio, F. Sciarrino, and A. Cabello, “Experimental observation of impossible-to-beat quantum advantage on a hybrid photonic system,” Phys. Rev. Lett. 108, 090501 (2012).

[Crossref]

S. Yu and C. H. Oh, “State-independent proof of Kochen-Specker theorem with 13 rays,” Phys. Rev. Lett. 108, 030402 (2012).

[Crossref]

S. Castelletto, B. C. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13, 151–156 (2014).

[Crossref]

E. Amselem, L. E. Danielsen, A. J. López-Tarrida, J. R. Portillo, M. Bourennane, and A. Cabello, “Experimental fully contextual correlations,” Phys. Rev. Lett. 108, 200405 (2012).

[Crossref]

R. Lapkiewicz, P. Li, C. Schaeff, N. K. Langford, S. Ramelow, M. Wieśniak, and A. Zeilinger, “Experimental non-classicality of an indivisible quantum system,” Nature 474, 490–493 (2011).

[Crossref]

N. Delfosse, P. A. Guerin, J. Bian, and R. Raussendorf, “Wigner function negativity and contextuality in quantum computation on rebits,” Phys. Rev. X 5, 021003 (2015).

[Crossref]

C. Heunen, T. Fritz, and M. L. Reyes, “Quantum theory realizes all joint measurability graphs,” Phys. Rev. A 89, 032121 (2014).

[Crossref]

G. Kirchmair, F. Zähringer, R. Gerritsma, M. Kleinmann, O. Gühne, A. Cabello, R. Blatt, and C. F. Roos, “State-independent experimental test of quantum contextuality,” Nature 460, 494–497 (2009).

[Crossref]

A. Acín, T. Fritz, A. Leverrier, and A. B. Sainz, “A combinatorial approach to nonlocality and contextuality,” Commun. Math. Phys. 334, 533–628 (2015).

[Crossref]

T. Fritz, A. B. Sainz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, and A. Acín, “Local orthogonality as a multipartite principle for quantum correlations,” Nat. Commun. 4, 2263 (2013).

[Crossref]

R. Lapkiewicz, P. Li, C. Schaeff, N. K. Langford, S. Ramelow, M. Wieśniak, and A. Zeilinger, “Experimental non-classicality of an indivisible quantum system,” Nature 474, 490–493 (2011).

[Crossref]

E. Nagali, V. D’Ambrosio, F. Sciarrino, and A. Cabello, “Experimental observation of impossible-to-beat quantum advantage on a hybrid photonic system,” Phys. Rev. Lett. 108, 090501 (2012).

[Crossref]

A. Cabello, S. Severini, and A. Winter, “Graph-theoretic approach to quantum correlations,” Phys. Rev. Lett. 112, 040401 (2014).

[Crossref]

A. A. Klyachko, M. A. Can, S. Binicioğlu, and A. S. Shumovsky, “Simple test for hidden variables in spin-1 systems,” Phys. Rev. Lett. 101, 020403 (2008).

[Crossref]

S. Kochen and E. P. Specker, “The problem of hidden variables in quantum mechanics,” J. Math. Mech. 17, 59–87 (1967).

[Crossref]

R. Kunjwal and R. W. Spekkens, “From the Kochen-Specker theorem to noncontextuality inequalities without assuming determinism,” Phys. Rev. Lett. 115, 110403 (2015).

[Crossref]

S. Castelletto, B. C. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13, 151–156 (2014).

[Crossref]

Z. P. Xu, H. Y. Su, and J. L. Chen, “Quantum contextuality of a qutrit state,” Phys. Rev. A 92, 012104 (2015).

[Crossref]

S. Castelletto, B. C. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13, 151–156 (2014).

[Crossref]

M. Howard, J. Wallman, V. Veitch, and J. Emerson, “Contextuality supplies the ‘magic’ for quantum computation,” Nature 510, 351–355 (2014).

[Crossref]

M. Howard, J. Wallman, V. Veitch, and J. Emerson, “Contextuality supplies the ‘magic’ for quantum computation,” Nature 510, 351–355 (2014).

[Crossref]

R. Lapkiewicz, P. Li, C. Schaeff, N. K. Langford, S. Ramelow, M. Wieśniak, and A. Zeilinger, “Experimental non-classicality of an indivisible quantum system,” Nature 474, 490–493 (2011).

[Crossref]

A. Cabello, S. Severini, and A. Winter, “Graph-theoretic approach to quantum correlations,” Phys. Rev. Lett. 112, 040401 (2014).

[Crossref]

G. Cañas, E. Acuña, J. Cariñe, J. F. Barra, E. S. Gómez, G. B. Xavier, G. Lima, and A. Cabello, “Experimental demonstration of the connection between quantum contextuality and graph theory,” Phys. Rev. A 94, 012337 (2016).

[Crossref]

Z. P. Xu, H. Y. Su, and J. L. Chen, “Quantum contextuality of a qutrit state,” Phys. Rev. A 92, 012104 (2015).

[Crossref]

B. Yan, “Quantum correlations are tightly bound by the exclusivity principle,” Phys. Rev. Lett. 110, 260406 (2013).

[Crossref]

S. Yu and C. H. Oh, “State-independent proof of Kochen-Specker theorem with 13 rays,” Phys. Rev. Lett. 108, 030402 (2012).

[Crossref]

G. Kirchmair, F. Zähringer, R. Gerritsma, M. Kleinmann, O. Gühne, A. Cabello, R. Blatt, and C. F. Roos, “State-independent experimental test of quantum contextuality,” Nature 460, 494–497 (2009).

[Crossref]

R. Lapkiewicz, P. Li, C. Schaeff, N. K. Langford, S. Ramelow, M. Wieśniak, and A. Zeilinger, “Experimental non-classicality of an indivisible quantum system,” Nature 474, 490–493 (2011).

[Crossref]

A. Acín, T. Fritz, A. Leverrier, and A. B. Sainz, “A combinatorial approach to nonlocality and contextuality,” Commun. Math. Phys. 334, 533–628 (2015).

[Crossref]

L. Lovász, “On the Shannon capacity of a graph,” IEEE Trans. Inf. Theory 25, 1–7 (1979).

[Crossref]

M. Grötschel, “Relaxations of vertex packing,” J. Comb. Theory B 40, 330–343 (1986).

[Crossref]

S. Kochen and E. P. Specker, “The problem of hidden variables in quantum mechanics,” J. Math. Mech. 17, 59–87 (1967).

[Crossref]

T. Fritz, A. B. Sainz, R. Augusiak, J. B. Brask, R. Chaves, A. Leverrier, and A. Acín, “Local orthogonality as a multipartite principle for quantum correlations,” Nat. Commun. 4, 2263 (2013).

[Crossref]

S. Castelletto, B. C. Johnson, V. Ivády, N. Stavrias, T. Umeda, A. Gali, and T. Ohshima, “A silicon carbide room-temperature single-photon source,” Nat. Mater. 13, 151–156 (2014).

[Crossref]

G. Kirchmair, F. Zähringer, R. Gerritsma, M. Kleinmann, O. Gühne, A. Cabello, R. Blatt, and C. F. Roos, “State-independent experimental test of quantum contextuality,” Nature 460, 494–497 (2009).

[Crossref]

R. Lapkiewicz, P. Li, C. Schaeff, N. K. Langford, S. Ramelow, M. Wieśniak, and A. Zeilinger, “Experimental non-classicality of an indivisible quantum system,” Nature 474, 490–493 (2011).

[Crossref]

M. Howard, J. Wallman, V. Veitch, and J. Emerson, “Contextuality supplies the ‘magic’ for quantum computation,” Nature 510, 351–355 (2014).

[Crossref]

S. Abramsky and A. Brandenburger, “The sheaf-theoretic structure of non-locality and contextuality,” New J. Phys. 13, 113036 (2011).

[Crossref]

A. Cabello, J. M. Estebaranz, and G. Garcia-Alcaine, “Bell-Kochen-Specker theorem: a proof with 18 vectors,” Phys. Lett. A 212, 183–187 (1996).

[Crossref]

B. Amaral, M. T. Cunha, and A. Cabello, “Quantum theory allows for absolute maximal contextuality,” Phys. Rev. A 92, 062125 (2015).

[Crossref]

Z. P. Xu, H. Y. Su, and J. L. Chen, “Quantum contextuality of a qutrit state,” Phys. Rev. A 92, 012104 (2015).

[Crossref]

G. Cañas, E. Acuña, J. Cariñe, J. F. Barra, E. S. Gómez, G. B. Xavier, G. Lima, and A. Cabello, “Experimental demonstration of the connection between quantum contextuality and graph theory,” Phys. Rev. A 94, 012337 (2016).

[Crossref]

A. Cabello, “Simple method for experimentally testing any form of quantum contextuality,” Phys. Rev. A 93, 032102 (2016).

[Crossref]

N. de Silva, “Graph-theoretic strengths of contextuality,” Phys. Rev. A 95, 032108 (2017).

[Crossref]

C. Heunen, T. Fritz, and M. L. Reyes, “Quantum theory realizes all joint measurability graphs,” Phys. Rev. A 89, 032121 (2014).

[Crossref]

R. Kunjwal, C. Heunen, and T. Fritz, “Quantum realization of arbitrary joint measurability structures,” Phys. Rev. A 89, 052126 (2014).

[Crossref]

A. Cabello, S. Severini, and A. Winter, “Graph-theoretic approach to quantum correlations,” Phys. Rev. Lett. 112, 040401 (2014).

[Crossref]

E. T. Campbell, “Enhanced fault-tolerant quantum computation in d-level systems,” Phys. Rev. Lett. 113, 230501 (2014).

[Crossref]

A. Cabello, “Simple explanation of the quantum violation of a fundamental inequality,” Phys. Rev. Lett. 110, 060402 (2013).

[Crossref]

B. Yan, “Quantum correlations are tightly bound by the exclusivity principle,” Phys. Rev. Lett. 110, 260406 (2013).

[Crossref]

R. Kunjwal and R. W. Spekkens, “From the Kochen-Specker theorem to noncontextuality inequalities without assuming determinism,” Phys. Rev. Lett. 115, 110403 (2015).

[Crossref]

M. Howard and E. Campbell, “Application of a resource theory for magic states to fault-tolerant quantum computing,” Phys. Rev. Lett. 118, 090501 (2017).

[Crossref]

E. Nagali, V. D’Ambrosio, F. Sciarrino, and A. Cabello, “Experimental observation of impossible-to-beat quantum advantage on a hybrid photonic system,” Phys. Rev. Lett. 108, 090501 (2012).

[Crossref]

E. Amselem, L. E. Danielsen, A. J. López-Tarrida, J. R. Portillo, M. Bourennane, and A. Cabello, “Experimental fully contextual correlations,” Phys. Rev. Lett. 108, 200405 (2012).

[Crossref]

S. Yu and C. H. Oh, “State-independent proof of Kochen-Specker theorem with 13 rays,” Phys. Rev. Lett. 108, 030402 (2012).

[Crossref]

A. A. Klyachko, M. A. Can, S. Binicioğlu, and A. S. Shumovsky, “Simple test for hidden variables in spin-1 systems,” Phys. Rev. Lett. 101, 020403 (2008).

[Crossref]

N. Delfosse, P. A. Guerin, J. Bian, and R. Raussendorf, “Wigner function negativity and contextuality in quantum computation on rebits,” Phys. Rev. X 5, 021003 (2015).

[Crossref]

B. Bollobás, “The independence ratio of regular graphs,” Proc. Am. Math. Soc. 83, 433–436 (1981).

[Crossref]

J. S. Bell, “On the problem of hidden variables in quantum mechanics,” Rev. Mod. Phys. 38, 447–452 (1966).

[Crossref]