Abstract
We use algorithmic information to define co-measurability of observables and investigate its relation to the phenomenon of quantum contextuality.
Keywords
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Gleason, A.M.: Measures on the closed subspaces of a Hilbert space. Indiana Univ. Math. J. 6, 885–893 (1957)
Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777 (1935)
Bell, J.S.: Physics 1, 195 (1964)
Kochen, S., Specker, E.P.: The problem of hidden variables in quantum mechanics. J. Math. Mech. 17, 59–87 (1967)
Wolfram, S.: A New Kind of Science. Wolfram Media Inc., Champaign (2001)
Deutsch, D.: Proc. Roy. Soc. A 4, 0097117 (1985)
Li, M., Chen, X., Li, X., Ma, B., Vitanyi, P.M.B.: IEEE Trans. Inf. Theory 50, 3250 (2004)
Cilibrasi, R., Vitanyi, P.M.B.: IEEE Trans. Inf. Theory 51, 1523 (2005)
Li, M., Vitanyi, P.M.B.: An Introduction to Kolmogorov Complexity and Its Applications. Texts in Computer Science. Springer, New York (2009)
Cover, T.M., Thomas, J.A.: Elements of Information Theory, 2nd edn. Wiley, New York (2006)
Andersson, E., Barnett, S.M., Aspect, A.: Phys. Rev. A 72, 042104 (2005)
Fine, A.: Phys. Rev. Lett. 48, 291 (1982)
Kurzynski, P., Kaszlikowski, D.: Phys. Rev. A 89, 012103 (2014)
Poh, H.S., et al.: New J. Phys. 18, 035011 (2016)
Schumacher, B.W.: Phys. Rev. A 44, 7047 (1991)
Cilibrasi, R., Vitanyi, P.M.B.: IEEE Trans. Inf. Theory 51, 1523–1545 (2005)
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.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-52289-0_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-52288-3
Online ISBN: 978-3-319-52289-0
eBook Packages: Computer ScienceComputer Science (R0)