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arXiv:quant-ph/0701071 · Physics Reports

Research on hidden variable theories: A review of recent progresses

Marco Genovese

Published May 18, 2005• 476 citations
arXivHTMLPDF
DOI
10.1016/j.physrep.2005.03.003

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ABSTRACT The de Broglie–Bohm (dBB) theory was first proposed by L. de Broglie in 1927, nearly a century ago, and has now become an indispensable complement to the orthodox interpretation of quantum theory. As a nonlocal and contextual hidden‐variable theory, the dBB theory is compatible with Bell's inequality and the Kochen–Specker theorem. With the establishment and development of the weak measurement formalism, average Bohmian trajectories were experimentally reconstructed in 2011. Subsequent experiments in 2016 and 2019 provide a visual manifestation of the predicted nonlocality of Bohmian trajectories. Recently, stemming from the Englert–Scully–Süssmann–Walther (ESSW) Gedanken experiment, the concept of “nonlocal energy alteration” (i.e., nonlocal change of energy in space) has been proposed and observed on a quantum memory platform. This paper first reviews the evolution of the dBB theory, then summarizes recent experimental research progress, particularly providing insights into the redistribution of energy in space‐like intervals, and finally prospects for future research in this field.
In [Physical Review Letters 101, 050403 (2008)], we showed that quantum theory cannot be explained by a hidden variable model with a non-trivial local part. The purpose of this comment is to clarify our notion of local part, which seems to have caused some confusion in the recent literature. This notion is based on Bell's and demands that local hidden variables are physical, the idea being that, if discovered, they would not contradict basic physical principles. We explain why the recent supposed "counterexamples" that have appeared are not counterexamples to our theorem--in fact they are based on a definition of local hidden variables which would allow signalling and is therefore not physical.
Abstract Einstein's severe critique of quantum mechanics took its ultimate form in the so‐called Einstein Podolsky Rosen (EPR) paradox. The latter remained a subject of mere dispute, until a remarkable progress was initiated in 1964 by Bell who showed that quantum mechanical correlations specific for an EPR type experiment cannot be reproduced in any local hidden—variables theory. Afterwards, realistic versions of EPR experiments have been conceived and, in fact, carried out. The objective of the present paper is to give a review of this recent exciting development, both theoretical and experimental, which reveals one of the most striking features of quantum theory, the “quantum interconnectedness of distant systems”.