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NATO ADVANCED RESEARCH WORKSHOP
Modality, Probability, and Bell's Theorems
to be held in Cracow (Poland) in Aug. 19-23, 2001
co-sponsored by the Jagiellonian University (Cracow)
home page How to apply for participation Objectives of the workshop Tentative programme Papers of the key speakers Relevant topics
link to NATO This page contains papers to be presented at the workshop and papers of the key speakers relevant to the workshop's topics.

Papers to be presented

Two Ideas of EPR-like 'Funny Business' in the Theory of Branching Space-Times: Generalized Primary Space-like-related Modal Correlations and Cause-like Loci that Are not in the Past Nuel Belnap
PDF  412 KB

Bell Phenomenon - a Probabilistic Approach to Bell's Theorems 
E.G.Beltrametti and S.Bugajski 
PS  615 KB  PDF  280 KB

On Causal Loops in the Quantum Realm Joseph Berkovitz 
MS Word 182 KB 

Do Quantum-Mechanical Systems Always Possess Definite Properties Dictated by Their States? Tomasz Bigaj
RTF 408 KB 

A Kochen-Specker Theorem for Unsharp Observables Thomas Breuer
PS 106 KB  PDF  111 KB

EPR-Bell Tests with Unsharp Observables and Relativistic Quantum Measurement 
Paul Busch 
PS  59 KB  PDF  34 KB (extended abstract)

Minimalist Interpretations of  Bell's Theorem Jacek Cachro
PS 202 KB  PDF  113 KB

Bohr on Bell: A Proposed Reading of Bohr and Its Implications for Bells Theorem 
Michael Dickson
PDF  160 KB (draft)

Reconsidering Bohr's reply to EPR Hans Halvorson and  Rob Clifton
quant-ph/0110107

Measuring Quantum Entanglement Leah Henderson 
PDF  333 KB

Relativistic Realist Trajectory Models Simulating Bell Correlations Adrian Kent
PS  75 KB  PDF  91 KB (extended abstract) 
figures (.gif files)  ZIP 32 KB

Non-Locality and Theories of Causation in Quantum Mechanics Federico Laudisa 
MS Word 47 KB (draft)

Bell-Clauser-Horne Inequalities: Why Are They Violated? Tomasz Placek
PS  356 KB  PDF  272 KB

Reichenbach's Common Cause Principle Miklós Rédei
PS  174 KB  PDF  177 KB (draft)

Quantum Mechanics of the Electric Charge and Its Connection with Fundamental Problems of Interpretation of Quantum Mechanics Andrzej Staruszkiewicz 
PS  82 KB  PDF  91 KB

Causality, Determinism, Realism: Some Philosophical Inequalities Michael Stöltzner 
MS Word 39 KB (materials for the presentation)

A Local Hidden Variable Theory for the GHZ Experiment László E. Szabó and Arthur Fine 
http://hps.elte.hu/~leszabo/GHZ.html

Signal-Locality in Hidden-Variables Theories  Antony Valentini
quant-ph/0104067

Other relevant papers

Non-local Correlations are Generic in Infinite-Dimensional Bipartite Systems Rob Clifton, Hans Halvorson, and Adrian Kent 
PDF 195 KB  PS 60 KB 
This is an elementary proof that quantum non-locality becomes generic if the dimension of either local subspace is infinite 

Non-Contextual Hidden Variables and Physical Measurements Adrian Kent 
PDF 109 KB  PS 32 KB 
Simulating Quantum Mechanics by Non-Contextual Hidden Variables Rob Clifton and Adrian Kent 
PDF 185 KB  PS 60 KB 
These point out that the finite precision of actual measurements provides a loophole which allows one to evade the conclusions of the Kochen-Specker theorem. The second paper shows that relativity and Bell correlations are thus necessary to give a conclusive demonstration of the impossibility of simulating quantum theory by a classical theory. 

directions
the conference site
Jagiellonian University
Cracow
bell.workshop@uj.edu.pl
Causality in Time-Neutral Cosmologies Adrian Kent 
PDF 114 KB  PS 36 KB 
The paper gives an example of a non-standard but consistent variant of quantum theory in which measurements on Bell states allow superluminal communication, but grandfather paradoxes are nonetheless avoided. 

Entanglement-in-QIT Rob Clifton 
PDF 172 KB 
This file consists of transparencies for a talk given at the PSA 2000, which is related to the talk Prof. Clifton intends to give in Cracow. At the end of the file there are many references to the literature that could be looked up and read by our young researchers. 

The Subtleties of Entanglement and Its Role in Quantum Information Theory Rob Clifton philsci-archive
My aim in this paper is a modest one. I do not have any particular thesis to advance about the nature of entanglement, nor can I claim novelty for any of the material I shall discuss. My aim is simply to
raise some questions about entanglement that spring naturally from certain developments in quantum information theory and are, I believe, worthy of serious consideration by philosophers of science. The main topics I discuss are different manifestations of quantum nonlocality, entanglement-assisted communication, and entanglement thermodynamics. [Note: despite appearances, there is alot in this paper that concerns Bell correlations and nonlocality, in line with the conference theme!]

The Einstein-Podolsky-Rosen State Maximally Violates Bell's Inequalities Hans Halvorson PDF 191 KB  PS 182 KB 
The paper gives a proof of the existence and uniqueness of the EPR state as a normalized, positive linear functional of the Weyl algebra for two degrees of freedom. It shows that the EPR state 
maximally violates Bell's inequalities.

Quantum Theory From Five Reasonable Axioms Lucien Hardy
quant-ph/0101012
In this paper I will present five reasonable axioms from which quantum theory can be derived.  I will then focus on how entanglement comes about from these axioms.   The first four of the five axioms are obviously true in classical probability theory and in quantum theory. The fifth axiom, which states that there should be a continuous and reversible transformation between any two pure states through the pure states, gives us quantum theory.  I will show how this continuity axiom leads necessarily to entanglement.  Other aspects of quantum entanglement will be discussed such as why there is not more entanglement and how the tensor product structure for composite systems comes about.

A Note in Nonlocality , Causation, and Lorentz-Invariance Federico Laudisa
MS Word 28 KB 
The status of a causal approach to EPR-Bell nonlocal correlations in terms of a counterfactual theory of causation is reviewed. The need to take into due account the spacetime structure of the events involved is emphasized. Furthermore, it is argued that adopting this approach entails the assumption of a privileged frame of reference, an assumption that seems even more in need of justification than the causal theory itself.

Opportunistic Axiomatics - Von Neumann on the Methodology of Mathematical Physics Michael Stöltzner
MS Word 122 KB 

Hidden Variables, Statistical Mechanics and the Early Universe Antony Valentini
quant-ph/0104067
It is argued that our universe happens to be in a state of statistical equilibrium at the hidden-variable level, such that nonlocality is masked by quantum noise. To account for this 'quantum equilibrium', we outline a subquantum statistical mechanics in configuration space, and an H-theorem analogous to the classical coarse-graining H-theorem. Foundational issues in statistical mechanics are addressed, and an alternative explanation based on 'typicality' is criticised. An estimate is given for the relaxation timescale, and an illustrative numerical simulation is provided. Assuming the universe began in quantum non-equilibrium, we sketch a scenario in which relaxation is suppressed at very early times by the rapid expansion of space, raising the possibility that deviations from quantum
theory could survive to the present day for relic cosmological particles that decoupled sufficiently early. It is concluded that quantum noise is a remnant of the big bang and, like the microwave background, should be probed experimentally. Possible tests with relic particles are briefly discussed. 

Charting the Labyrinth of Bell's Theorems  Tomasz Placek 
PDF 217 KB  PS 415 KB 
This work intends to be an accessible survey of various Bell-type arguments, from EPR to Hardy's argument. 
The paper is a fragment of Placek's book Is Nature Deterministic? A Branching Perspective on EPR Phenomena, Jagiellonian University Press, Cracow 2000, and is put here with the kind permission of Jagiellonian University Press. 

Bell's Theorems in Models of Branching Space-Time Tomasz Placek
PDF 491 KB  PS 714 KB 
The paper presents models of outcomes and stochastic outcomes in branching space-time (OBST and SOBST). The models are then used to analyze GHZ-Bell theorems as well as the Clauser-Horn-Bell theorem. 
The paper is a fragment of Placek's book Is Nature Deterministic? A Branching Perspective on EPR Phenomena, Jagiellonian University Press, Cracow 2000, and is put here with the kind permission of Jagiellonian University Press.

home page How to apply for participation Objectives of the workshop Tentative programme Papers of the key speakers Relevant topics