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When champions meet: Rethinking the Bohr–Einstein debate
, 2006
"... Einstein’s philosophy of physics (as clarified by Fine and Howard) was predicated on his Trennungsprinzip, a combination of separability and locality, without which he believed “physical thought ” and “physical laws ” to be impossible. Bohr’s philosophy (as elucidated by Hooker, Scheibe, Folse, Howa ..."
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Cited by 4 (2 self)
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Einstein’s philosophy of physics (as clarified by Fine and Howard) was predicated on his Trennungsprinzip, a combination of separability and locality, without which he believed “physical thought ” and “physical laws ” to be impossible. Bohr’s philosophy (as elucidated by Hooker, Scheibe, Folse, Howard, and others), on the other hand, was grounded in a seemingly different doctrine about the possibility of objective knowledge, namely the necessity of classical concepts. In fact, it follows from Raggio’s Theorem in algebraic quantum theory that within a suitable class of physical theories Einstein’s doctrine is mathematically equivalent to Bohr’s, so that quantum mechanics accommodates Einstein’s Trennungsprinzip if and only if it is interpreted à la Bohr through classical physics. Unfortunately, the protagonists themselves failed to discuss their differences in a constructive way, since in its early phase their debate was blurred by an undue emphasis on the uncertainty relations, whereas in its second stage it was dominated by Einstein’s flawed attempts to establish the “incompleteness ” of quantum mechanics. These two aspects of their debate may still be understood and appreciated, however, as reflecting a much deeper and insurmountable disagreement between Bohr and Einstein on the knowability of Nature. Using the theological controversy on the knowability of God as a analogy, Einstein was a Spinozist, whereas Bohr could be said to be on the side of Maimonides. Thus Einstein’s offthecuff characterization of Bohr as a ‘Talmudic philosopher ’ was spoton.
The Chaotic Chameleon
, 2003
"... Various supposedly local hidden variables models for the singlet correlations exploit the detection loophole, or other loopholes connected with postselection on coincident arrival times. I consider the connection with a probabilistic simulation technique called rejectionsampling, and pose some n ..."
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Cited by 1 (1 self)
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Various supposedly local hidden variables models for the singlet correlations exploit the detection loophole, or other loopholes connected with postselection on coincident arrival times. I consider the connection with a probabilistic simulation technique called rejectionsampling, and pose some natural questions concerning what can be achieved and what cannot be achieved with local (or distributed) rejection sampling.
Locality, Weak or Strong Anticipation and Quantum Computing. I. Nonlocality in Quantum Theory
"... Abstract The universal Turing machine is an anticipatory theory of computability by any digital or quantum machine. However the ChurchTuring hypothesis only gives weak anticipation. The construction of the quantum computer (unlike classical computing) requires theory with strong anticipation. Categ ..."
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Abstract The universal Turing machine is an anticipatory theory of computability by any digital or quantum machine. However the ChurchTuring hypothesis only gives weak anticipation. The construction of the quantum computer (unlike classical computing) requires theory with strong anticipation. Category theory provides the necessary coordinatefree mathematical language which is both constructive and nonlocal to subsume the various interpretations of quantum theory in one pullback/pushout Dolittle diagram. This diagram can be used to test and classify physical devices and proposed algorithms for weak or strong anticipation. Quantum Information Science is more than a merger of ChurchTuring and quantum theories. It has constructively to bridge the nonlocal chasm between the weak anticipation of mathematics and the strong anticipation of physics.
1 The Observer in the Quantum Experiment
"... A goal of most interpretations of quantum mechanics is to avoid the apparent intrusion of the observer into the measurement process. Such intrusion is usually seen to arise because observation somehow selects a single actuality from among the many possibilities represented by the wavefunction. The i ..."
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A goal of most interpretations of quantum mechanics is to avoid the apparent intrusion of the observer into the measurement process. Such intrusion is usually seen to arise because observation somehow selects a single actuality from among the many possibilities represented by the wavefunction. The issue is typically treated in terms of the mathematical formulation of the quantum theory. We attempt to address a different manifestation of the quantum measurement problem in a theoryneutral manner. With a version of the twoslit experiment, we demonstrate that an enigma arises directly from the results of experiments. Assuming that no observable physical phenomena exist beyond those predicted by the theory, we argue that no interpretation of the quantum theory can avoid a measurement problem involving the observer. 1.
Eventbyevent simulation of the Hanbury Brown Twiss experiment with coherent light
, 908
"... Abstract. We present a computer simulation model for the Hanbury BrownTwiss experiment that is entirely particlebased and reproduces the results of wave theory. The model is solely based on experimental facts, satisfies Einstein’s criterion of local causality and does not require knowledge of the ..."
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Abstract. We present a computer simulation model for the Hanbury BrownTwiss experiment that is entirely particlebased and reproduces the results of wave theory. The model is solely based on experimental facts, satisfies Einstein’s criterion of local causality and does not require knowledge of the solution of a wave equation. The simulation model is fully consistent with earlier work and provides another demonstration that it is possible to give a particleonly description of wave phenomena, rendering the concept of waveparticle duality superfluous.
c ○ Rinton Press A PRACTICAL TROJAN HORSE FOR BELLINEQUALITY BASED QUANTUM CRYPTOGRAPHY
, 2002
"... Quantum Cryptography, or more accurately, Quantum Key Distribution (QKD) is based on using an unconditionally secure “quantum channel ” to share a secret key among two users. A manufacturer of QKD devices could, intentionally or not, use a (semi)classical channel instead of the quantum channel, whi ..."
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Quantum Cryptography, or more accurately, Quantum Key Distribution (QKD) is based on using an unconditionally secure “quantum channel ” to share a secret key among two users. A manufacturer of QKD devices could, intentionally or not, use a (semi)classical channel instead of the quantum channel, which would remove the supposedly unconditional security. One example is the BB84 protocol, where the quantum channel can be implemented in polarization of single photons. Here, use of several photons instead of one to encode each bit of the key provides a similar but insecure system. For protocols based on violation of a Bell inequality (e.g., the Ekert protocol) the situation is somewhat different. While the possibility is mentioned by some authors, it is generally thought that an implementation of a (semi)classical channel will differ significantly from that of a quantum channel. Here, a counterexample will be given using an identical physical setup as is used in photonpolarization Ekert QKD. Since the physical implementation is identical, a manufacturer may include this modification as a Trojan Horse in manufactured systems, to be activated at will by an eavesdropper. Thus, the old truth of cryptography still holds: you have to trust the manufacturer of your cryptographic device. Even when you do violate the Bell inequality.
ACCARDI CONTRA BELL (CUM MUNDI): THE IMPOSSIBLE COUPLING VERSION: 22/10/01
, 2001
"... An experimentally observed violation of Bell’s inequality is supposed to show the failure of local realism to deal with quantum reality. However, finite statistics and the time sequential nature of real experiments still allows a loophole for local realism. We show that the randomised design of the ..."
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An experimentally observed violation of Bell’s inequality is supposed to show the failure of local realism to deal with quantum reality. However, finite statistics and the time sequential nature of real experiments still allows a loophole for local realism. We show that the randomised design of the Aspect experiment closes this loophole. Our main tool is van de Geer’s (2000) supermartingale version of the classical Bernstein (1924) inequality guaranteeing, at the root n scale, a notheavierthanGaussian tail of the distribution of a sum of bounded supermartingale differences. The results are used to specify a protocol for a public bet between the author and L. Accardi, who in recent papers (Accardi and Regoli, 2000a,b, 2001) has claimed to have produced a suite of computer programmes, to be run on a network of computers, which will simulate a violation of Bell’s inequalites. At a sample size of thirty thousand, both error probabilities are guaranteed smaller than one in a million, provided we adhere to the sequential randomized design.