Is a description deeper than the quantum one possible?

Abstract

Recently, it has been argued that quantum mechanics is a complete theory, and that different quantum states do necessarily correspond to different elements of reality, under the assumptions that quantum mechanics is correct and that measurement settings can be freely chosen. In this work, we prove that this result is a consequence of an unnecessarily strong mathematical expression of the free choice assumption, which embodies more conditions than explicitly stated. The issues of the completeness of quantum mechanics, and of the interpretation of the state vector, are by no means resolved. Taking this perspective, we describe how the recently introduced class of crypto-nonlocal hidden variables theories can be used to characterize the maximal possible departure from quantum mechanics, when the system consists of a pair of qubits.

8 pages, QTAP Vaxjo 2013

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Cited by in corpus (3)

• Understanding quantum mechanics: a review and synthesis in precise language
• The completeness, computability, and extensibility of quantum theory
• Can category-theoretic semantics resolve the problem of the interpretation of the quantum state vector?