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arXiv · 1905.07723

Classifying space for quantum contextuality

Cihan Okay·Daniel Sheinbaum
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Abstract

We construct a topological space to study contextuality in quantum mechanics. The resulting space is a classifying space in the sense of algebraic topology. Cohomological invariants of our space correspond to physical quantities relevant to the study of contextuality. Within this framework the Wigner function of a quantum state can be interpreted as a class in the twisted $K$-theory of the classifying space.

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Cihan Okay, Daniel Sheinbaum. 2019-05-19. Classifying space for quantum contextuality. https://doi.org/10.1007/s00023-020-00993-3

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