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On Peculiar Relations Between Measurement Incompatibility and Contextuality

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Quantum Interaction (QI 2016)

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Abstract

We use algorithmic information to define co-measurability of observables and investigate its relation to the phenomenon of quantum contextuality.

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References

  1. Gleason, A.M.: Measures on the closed subspaces of a Hilbert space. Indiana Univ. Math. J. 6, 885–893 (1957)

    Article  MathSciNet  MATH  Google Scholar 

  2. Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777 (1935)

    Article  MATH  Google Scholar 

  3. Bell, J.S.: Physics 1, 195 (1964)

    Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  5. Wolfram, S.: A New Kind of Science. Wolfram Media Inc., Champaign (2001)

    MATH  Google Scholar 

  6. Deutsch, D.: Proc. Roy. Soc. A 4, 0097117 (1985)

    Google Scholar 

  7. Li, M., Chen, X., Li, X., Ma, B., Vitanyi, P.M.B.: IEEE Trans. Inf. Theory 50, 3250 (2004)

    Google Scholar 

  8. Cilibrasi, R., Vitanyi, P.M.B.: IEEE Trans. Inf. Theory 51, 1523 (2005)

    Google Scholar 

  9. Li, M., Vitanyi, P.M.B.: An Introduction to Kolmogorov Complexity and Its Applications. Texts in Computer Science. Springer, New York (2009)

    MATH  Google Scholar 

  10. Cover, T.M., Thomas, J.A.: Elements of Information Theory, 2nd edn. Wiley, New York (2006)

    MATH  Google Scholar 

  11. Andersson, E., Barnett, S.M., Aspect, A.: Phys. Rev. A 72, 042104 (2005)

    Google Scholar 

  12. Fine, A.: Phys. Rev. Lett. 48, 291 (1982)

    Google Scholar 

  13. Kurzynski, P., Kaszlikowski, D.: Phys. Rev. A 89, 012103 (2014)

    Google Scholar 

  14. Poh, H.S., et al.: New J. Phys. 18, 035011 (2016)

    Google Scholar 

  15. Schumacher, B.W.: Phys. Rev. A 44, 7047 (1991)

    Article  MathSciNet  Google Scholar 

  16. Cilibrasi, R., Vitanyi, P.M.B.: IEEE Trans. Inf. Theory 51, 1523–1545 (2005)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

DK was supported by National Research Foundation & Ministry of Education in Singapore, PK was supported by the National Science Centre in Poland through the NCN Grant No. 2014/14/E/ST2/00585.

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Correspondence to Dagomir Kaszlikowski .

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Kaszlikowski, D., Kurzyński, P. (2017). On Peculiar Relations Between Measurement Incompatibility and Contextuality. In: de Barros, J., Coecke, B., Pothos, E. (eds) Quantum Interaction. QI 2016. Lecture Notes in Computer Science(), vol 10106. Springer, Cham. https://doi.org/10.1007/978-3-319-52289-0_14

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  • DOI: https://doi.org/10.1007/978-3-319-52289-0_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-52288-3

  • Online ISBN: 978-3-319-52289-0

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