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In this Einstein Year of Physics it seems appropriate to look at an important aspect of Einstein's work that is often down-played: his contribution to the debate on the interpretation of quantum mechanics. Contrary to popular opinion, Bohr…

量子物理 · 物理学 2009-11-11 H. M. Wiseman

Quantum non-locality is normally defined via violations of Bell's inequalities that exclude certain classical hidden variable theories from explaining quantum correlations. Another definition of non-locality refers to the wave-function…

量子物理 · 物理学 2018-08-01 Armen E. Allahverdyan , Arshag Danageozian

The hidden-variable question is whether or not various properties --- randomness or correlation, for example --- that are observed in the outcomes of an experiment can be explained via introduction of extra (hidden) variables which are…

量子物理 · 物理学 2017-08-23 Adam Brandenburger , H. Jerome Keisler

We resolve an old problem about the existence of hidden parameters in a three-dimensional quantum system by constructing an appropriate Bell's type inequality. This reveals a nonclassical nature of most spin-$1$ states. We shortly discuss…

量子物理 · 物理学 2009-11-13 Alexander A. Klyachko , M. Ali Can , Sinem Binicioğlu , Alexander S. Shumovsky

Bell's theorem is often said to imply that quantum mechanics violates local causality, and that local causality cannot be restored with a hidden-variables theory. This however is only correct if the hidden-variables theory fulfils an…

量子物理 · 物理学 2022-07-20 Jonte R. Hance , Sabine Hossenfelder , Tim N. Palmer

Kochen-Specker theorems assure the breakdown of certain types of non-contextual hidden variable theories through the non-existence of global, holistic frame functions; alas they do not allow us to identify where this breakdown occurs, nor…

量子物理 · 物理学 2014-03-11 Alastair A. Abbott , Cristian S. Calude , Karl Svozil

We will first define what is meant by ``hidden variables". Then, we will review various theorems proving the impossibility of theories introducing such variables and then show that the de Broglie-Bohm theory is not refuted by those…

量子物理 · 物理学 2023-07-12 Jean Bricmont

Meyer recently queried whether non-contextual hidden variable models can, despite the Kochen-Specker theorem, simulate the predictions of quantum mechanics to within any fixed finite experimental precision. Clifton and Kent have presented…

量子物理 · 物理学 2007-05-23 Jonathan Barrett , Adrian Kent

The conjecture is made that quantum mechanics is compatible with local hidden variables (or local realism). The conjecture seems to be ruled out by the theoretical argument of Bell, but it is supported by the empirical fact that nobody has…

量子物理 · 物理学 2007-05-23 Emilio Santos

By implicitly assuming that all possible Bell-measurements occur simultaneously, all proofs of Bell's Theorem violate Heisenberg's Uncertainty Principle. This assumption is made in the original form of Bell's inequality, in Wigner's…

量子物理 · 物理学 2007-05-23 Michael Clover

Based on his extension of the classical argument of Einstein, Podolsky and Rosen, Schr\"odinger observed that, in certain quantum states associated with pairs of particles that can be far away from one another, the result of the measurement…

量子物理 · 物理学 2021-04-14 Jean Bricmont , Sheldon Goldstein , Douglas Hemmick

The debate instigated by the seminal works of Einstein, Podolsky, Rosen, and Bell, put the notions of realism and nonlocality at the core of almost all philosophical and physical discussions underlying the foundations of quantum mechanics.…

量子物理 · 物理学 2019-08-14 I. S. Freire , R. M. Angelo

We analyze the assumptions that are made in the proofs of Bell-type inequalities for the results of Einstein-Podolsky-Rosen type of experiments. We find that the introduction of time-like random variables permits the construction of a…

量子物理 · 物理学 2007-05-23 Karl Hess , Walter Philipp

We performed an experimental test of the Kochen-Specker theorem based on an inequality derived from the Peres-Mermin proof, using spin-path (momentum) entanglement in a single neutron system. Following the strategy proposed by Cabello et…

量子物理 · 物理学 2009-07-28 H. Bartosik , J. Klepp , C. Schmitzer , S. Sponar , A. Cabello , H. Rauch , Y. Hasegawa

Entanglement, the Einstein-Podolsky-Rosen (EPR) paradox and Bell's failure of local-hidden-variable (LHV) theories are three historically famous forms of "quantum nonlocality". We give experimental criteria for these three forms of…

量子物理 · 物理学 2014-05-09 M. D. Reid , Q. Y. He , P. D. Drummond

In 1985, Edward Nelson, who formulated the theory of stochastic mechanics, made an interesting remark on Bell's theorem. Nelson analysed the latter in the light of classical fields that behave randomly. He found that if a stochastic hidden…

量子物理 · 物理学 2013-02-19 Benjamin Schulz

While all bipartite pure entangled states violate some Bell inequality, the relationship between entanglement and non-locality for mixed quantum states is not well understood. We introduce a simple and efficient algorithmic approach for the…

量子物理 · 物理学 2009-11-07 Barbara M. Terhal , Andrew C. Doherty , David Schwab

Most physicists agree that the Einstein-Podolsky-Rosen-Bell paradox exemplifies much of the strange behavior of quantum mechanics, but argument persists about what assumptions underlie the paradox. To clarify what the debate is about, we…

量子物理 · 物理学 2015-05-13 Guy Blaylock

Maudlin has claimed that no local theory can reproduce the predictions of standard quantum mechanics that violate Bell's inequality for Bohm's version (two spin-half particles in a singlet state) of the Einstein-Podolsky-Rosen problem. It…

量子物理 · 物理学 2015-05-19 Robert B. Griffiths

Recent experiments of Groeblacher et al. proved the violation of a Leggett-type inequality that was claimed to be valid for a broad class of non-local hidden-variable theories. The impossibility of constructing a non-local and realistic…

量子物理 · 物理学 2008-11-10 F. De Zela