On the Einstein Podolsky Rosen Paradox

Bell, J. S.

doi:10.1142/9789812386540_0002

Cited by 1,852 publications

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“…Like quantum theory, this theory admits nonlocal correlations which cannot be explained by any locally realistic model [6]. In fact it admits all non-signaling correlations, including those which maximally violate Bell inequalities, such as the well-known PR-Box [7].…”

Section: Introductionmentioning

confidence: 99%

Reversible dynamics in strongly non-local Boxworld systems

Al-Safi¹,

Short

2014

J. Phys. A: Math. Theor.

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In order to better understand the structure of quantum theory, or speculate about theories that may supercede it, it can be helpful to consider alternative physical theories. "Boxworld" describes one such theory, in which all non-signaling correlations are achievable. In a limited class of multipartite Boxworld systems -wherein all subsystems are identical and all measurements have the same number of outcomes -it has been demonstrated that the set of reversible dynamics is 'trivial', generated solely by local relabellings and permutations of subsystems. We develop the convex formalism of Boxworld to give an alternative proof of this result, then extend this proof to all multipartite Boxworld systems, and discuss the potential relevance to other theories. These results lend further support to the idea that the rich reversible dynamics in quantum theory may be the key to understanding its structure and its informational capabilities.

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Section: Introductionmentioning

confidence: 99%

Reversible dynamics in strongly non-local Boxworld systems

Al-Safi¹,

Short

2014

J. Phys. A: Math. Theor.

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“…As Popescu and Rohrlich note, the reasoning here is parallel to that used in the construction of the Carnot cycle. 4 Popescu and Rohrlich (7) also argue that the non-increase of entanglement through LOCC protocols shows that S N is a unique measure of entanglement for bipartite pure states: because entanglement cannot be created by LOCC protocols, but (in the limit where n → ∞) the BBPS protocol allows us to create (say) k ebit pairs from n |S AB pairs and the reverse of the process allows us to create n |S AB pairs from k ebit pairs then the entanglement of k ebit pairs must be equal to the entanglement of n |S AB pairs, i.e.…”

Section: Some Basic Entanglement Theorymentioning

confidence: 99%

“…(1) Inspired by this Schrödinger published papers in German (2) and English (3) shortly thereafter, in which the term "entanglement" was first used to describe the phenomenon. For around half a century after this, however, entanglement was viewed by physicists (with some exceptions, most notably Bell (4) ) as a curio of only philosophical interest, but in recent years interest in the subject in the physics community has greatly increased. The study of entanglement now forms the cornerstone of quantum information theory, which has produced some of the most surprising and profound results of contemporary physics.…”

Section: Introductionmentioning

confidence: 99%

Untangling Entanglement

Ainsworth

2007

Found Phys

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In this paper recent work that attempts to link quantum entanglement to (i) thermodynamic energy, (ii) thermodynamic entropy and (iii) information is reviewed. With respect to the first two links the paper is essentially expository. The final link is elaborated on: it is argued that the value of the entanglement of a bipartite system in a pure state is equal to the value of the irreducible uncertainty (i.e. irreducibly missing information) about its subsystems and that this suggests that entanglement gives rise to irreducible uncertainty. (The exact meaning of the phrase "irreducible uncertainty", as used here, is explained in the body of the paper. Roughly speaking, it is the uncertainty about the postmeasurement state of a system that cannot be removed at the pre-measurement stage.) This analysis is used to make a further connection between entanglement and statistical mechanical entropy: it is argued that these properties are indirectly linked, in so far as both give rise to forms of uncertainty (albeit rather different forms of uncertainty about rather different things).

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“…The reason is that the bispinor wave functions, and not the measurement values, satisfy a first order wave equation which may be used to directly compute variations in space and time. Therefore Bell's Theorem [1] is not applicable.…”

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confidence: 99%

Exact Description of Rotational Waves in an Elastic Solid

2010

Adv. Appl. Clifford Algebras

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Abstract. Conventional descriptions of transverse waves in an elastic solid are limited by an assumption of infinitesimally small gradients of rotation. By assuming a linear response to variations in orientation, we derive an exact description of a restricted class of rotational waves in an ideal isotropic elastic solid. The result is a nonlinear equation expressed in terms of Dirac bispinors. This result provides a simple classical interpretation of relativistic quantum mechanical dynamics. We construct a Lagrangian of the form L = −E + U + K = 0, where E is the total energy, U is the potential energy, and K is the kinetic energy. Mathematics Subject Classification (2010). 74B05, 81P10.

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On the Einstein Podolsky Rosen Paradox

Cited by 1,852 publications

References 0 publications

Reversible dynamics in strongly non-local Boxworld systems

Reversible dynamics in strongly non-local Boxworld systems

Untangling Entanglement

Exact Description of Rotational Waves in an Elastic Solid

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