Quantum computation, discreteness, and contextuality

Details Quantum computation, discreteness, and contextuality Quantum computation, discreteness, and contextuality

2009-07-31

arxiv.org/abs/0907.5449v2

Physics

Quantum Physics

Version 2: Sections reordered, Introduction and LU-LC section rewritten

Scientific paper

We establish a link between contextuality of quantum mechanics and quantum-mechanical computation. Specifically, we show that no deterministic measurement-based quantum computation evaluating a non-linear function can be described by a non-contextual hidden-variable model. We give examples for such computations derived from quantum codes with suitable transversality properties, and from a counterexample to the LU-LC conjecture.

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