Strong Kochen-Specker theorem and incomputability of quantum randomness
| Autor: | Karl Svozil, Jonathan Conder, Cristian S. Calude, Alastair A. Abbott |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Physics
No-broadcast theorem Quantum Physics FOS: Physical sciences Atomic and Molecular Physics and Optics Quantum indeterminacy Kochen–Specker theorem Theoretical physics Hidden variable theory Quantum mechanics No-go theorem Quantum no-deleting theorem Quantum Physics (quant-ph) No-cloning theorem No-communication theorem |
| Popis: | The Kochen-Specker theorem shows the impossibility for a hidden variable theory to consistently assign values to certain (finite) sets of observables in a way that is non-contextual and consistent with quantum mechanics. If we require non-contextuality, the consequence is that many observables must not have pre-existing definite values. However, the Kochen-Specker theorem does not allow one to determine which observables must be value indefinite. In this paper we present an improvement on the Kochen-Specker theorem which allows one to actually locate observables which are provably value indefinite. Various technical and subtle aspects relating to this formal proof and its connection to quantum mechanics are discussed. This result is then utilized for the proposal and certification of a dichotomic quantum random number generator operating in a three-dimensional Hilbert space. 31 pages, 5 figures, final version |
| Databáze: | OpenAIRE |
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