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arXiv · 1701.01888

Topological proofs of contextuality in quantum mechanics

Cihan Okay·Sam Roberts·Stephen D. Bartlett·Robert Raussendorf
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Abstract

We provide a cohomological framework for contextuality of quantum mechanics that is suited to describing contextuality as a resource in measurement-based quantum computation. This framework applies to the parity proofs first discussed by Mermin, as well as a different type of contextuality proofs based on symmetry transformations. The topological arguments presented can be used in the state-dependent and the state-independent case.

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Cihan Okay, Sam Roberts, Stephen D. Bartlett, Robert Raussendorf. 2017-01-07. Topological proofs of contextuality in quantum mechanics. https://arxiv.org/abs/1701.01888

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