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This note shows how one can be led from considerations of quantum steering to Bell's theorem. The point is that steering remote systems by choosing between two measurements can be described in a local theory if we take quantum states to be…

量子物理 · 物理学 2012-06-04 Terry Rudolph

Does the quantum state represent reality or our knowledge of reality? In making this distinction precise, we are led to a novel classification of hidden variable models of quantum theory. Indeed, representatives of each class can be found…

量子物理 · 物理学 2010-03-30 Nicholas Harrigan , Robert W. Spekkens

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

Bell's Theorem proved that one cannot in general reproduce the results of quantum theory with a classical, deterministic local model. However, Einstein originally considered the case where one could define an 'element of reality', namely…

量子物理 · 物理学 2008-05-01 Daniel M. Greenberger , Michael A. Horne , Anton Zeilinger

Does determinism (or even the incompleteness of quantum mechanics) follow from locality and perfect correlations? In a 1964 paper John Bell gave the first demonstration that quantum mechanics is incompatible with local hidden variables.…

量子物理 · 物理学 2024-11-11 Michael J. W. Hall

Bell's theorem has fascinated physicists and philosophers since his 1964 paper, which was written in response to the 1935 paper of Einstein, Podolsky, and Rosen. Bell's theorem and its many extensions have led to the claim that quantum…

量子物理 · 物理学 2017-04-03 Stephen Boughn

A 1964 paper by John Bell gave the first demonstration that quantum mechanics is incompatible with local hidden variables. There is an ongoing and vigorous debate on whether he relied on an assumption of determinism, or instead, as he later…

量子物理 · 物理学 2024-06-26 Michael J. W. Hall

Bell's theorem of 1965 is a proof that all realistic interpretations of quantum mechanics must be non-local. Bell's theorem consists of two parts: first a correlation inequality is derived that must be satisfied by all local realistic…

量子物理 · 物理学 2007-05-23 M. Ardehali

Quantum correlations between two parties are essential for the argument of Einstein, Podolsky, and Rosen in favour of the incompleteness of quantum mechanics. Schr\"odinger noted that an essential point is the fact that one party can…

量子物理 · 物理学 2020-03-25 Roope Uola , Ana C. S. Costa , H. Chau Nguyen , Otfried Gühne

Entanglement is the defining feature of quantum mechanics, and understanding the phenomenon is essential at the foundational level and for future progress in quantum technology. The concept of steering was introduced in 1935 by…

量子物理 · 物理学 2011-01-26 D. J. Saunders , S. J. Jones , H. M. Wiseman , G. J. Pryde

Bell's theorem states that some quantum correlations can not be represented by classical correlations of separated random variables. It has been interpreted as incompatibility of the requirement of locality with quantum mechanics. We point…

量子物理 · 物理学 2007-05-23 Igor V. Volovich

Fundamental principle of classical physics -- local realism, means that freely chosen observations can be explained by a local (slower than light) real process. It is apparently violated in quantum mechanics as shown by Bell theorem.…

量子物理 · 物理学 2015-08-07 Adam Bednorz

We explain how the so-called Einstein locality is to be understood in the Schr\"odinger picture of quantum mechanics. This notion is perfectly compatible with the Bell non-locality exhibited by entangled states. Contrary to some beliefs…

量子物理 · 物理学 2023-12-11 Vlatko Vedral

Experiments motivated by Bell's theorem have led some physicists to conclude that quantum theory is nonlocal. However, the theoretical basis for such claims is usually taken to be Bell's Theorem, which shows only that if certain predictions…

量子物理 · 物理学 2007-05-23 Henry P. Stapp

By assuming a deterministic evolution of quantum systems and taking realism into account, we carefully build a hidden variable theory for Quantum Mechanics based on the notion of ontological states proposed by 't Hooft. We view these…

量子物理 · 物理学 2017-12-04 Natalia Sánchez-Kuntz , Eduardo Nahmad-Achar

One of the conclusions that Bell drew from his famous inequality was that any hidden variable theory that satisfies Local Causality is incompatible with the predictions of Quantum Mechanics for Bell's Experiment. However, Local Causality…

量子物理 · 物理学 2026-03-18 Joanna Luc

Quantum steering can be detected via the violation of steering inequalities, which provide sufficient conditions for the steerability of quantum states. Here we discuss the converse problem, namely ensuring that a state is unsteerable, and…

量子物理 · 物理学 2016-03-21 Joseph Bowles , Flavien Hirsch , Marco Túlio Quintino , Nicolas Brunner

Einstein-Podolsky-Rosen steering is a form of quantum nonlocality intermediate between entanglement and Bell nonlocality. Although Schr\"odinger already mooted the idea in 1935, steering still defies a complete understanding. In analogy to…

量子物理 · 物理学 2013-07-09 Jing-Ling Chen , Xiang-Jun Ye , Chunfeng Wu , Hong-Yi Su , Adan Cabello , L. C. Kwek , C. H. Oh

Many of the heated arguments about the meaning of "Bell's theorem" arise because this phrase can refer to two different theorems that John Bell proved, the first in 1964 and the second in 1976. His 1964 theorem is the incompatibility of…

量子物理 · 物理学 2014-10-13 Howard M. Wiseman

The 1964 theorem of John Bell shows that no model that reproduces the predictions of quantum mechanics can simultaneously satisfy the assumptions of locality and determinism. On the other hand, the assumptions of \emph{signal locality} plus…

量子物理 · 物理学 2012-10-25 Eric G. Cavalcanti , Howard M. Wiseman
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