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Automaton Logic
 International Journal of Theoretical Physics
, 1996
"... The experimental logic of Moore and Mealy type automata is investigated. key words: automaton logic; partition logic; comparison to quantum logic; intrinsic measurements 1 ..."
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Cited by 93 (47 self)
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The experimental logic of Moore and Mealy type automata is investigated. key words: automaton logic; partition logic; comparison to quantum logic; intrinsic measurements 1
Do we really understand quantum mechanics? Strange correlations, paradoxes, and theorems
 Am. J. Phys
, 2001
"... This article presents a general discussion of several aspects of our present understanding of quantum mechanics. The emphasis is put on the very special correlations that this theory makes possible: they are forbidden by very general arguments based on realism and local causality. In fact, these cor ..."
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Cited by 60 (1 self)
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This article presents a general discussion of several aspects of our present understanding of quantum mechanics. The emphasis is put on the very special correlations that this theory makes possible: they are forbidden by very general arguments based on realism and local causality. In fact, these correlations are completely impossible in any circumstance, except the very special situations designed by physicists especially to observe these purely quantum effects. Another general point that is emphasized is the necessity for the theory to predict the emergence of a single result in a single realization of an experiment. For this purpose, orthodox quantum mechanics introduces a special postulate: the reduction of the state vector, which comes in addition to the Schrödinger evolution postulate. Nevertheless, the presence in parallel of two evolution processes of the same object (the state vector) may be a potential source for conflicts; various attitudes that are possible
TimeSymmetrized Counterfactuals in Quantum Theory,’ TelAviv University preprint TAUP
, 1997
"... Counterfactuals in quantum theory are briefly reviewed and it is argued that they are very different from counterfactuals considered in the general philosophical literature. The issue of time symmetry of quantum counterfactuals is considered and a novel timesymmetric definition of quantum counterfa ..."
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Cited by 18 (4 self)
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Counterfactuals in quantum theory are briefly reviewed and it is argued that they are very different from counterfactuals considered in the general philosophical literature. The issue of time symmetry of quantum counterfactuals is considered and a novel timesymmetric definition of quantum counterfactuals is proposed. This definition is applied for analyzing several controversies related to quantum counterfactuals. 1 There are very many philosophical discussions on the concept of counterfactuals and especially on the time’s arrow in counterfactuals. There is also a considerable literature on counterfactual in quantum theory. In order to be a helpful tool in quantum theory counterfactuals have to be rigorously defined. Unfortunately, the concept of counterfactuals is vague 1 and this leads to several controversies. I, however, believe that since quantum counterfactuals appear in a much narrow context than in general discussions on counterfactuals, they can be defined unambiguously. I will briefly review counterfactuals in quantum theory and will propose a rigorous definition which can clarify several issues, in particular, those related to the timesymmetry of quantum counterfactuals.
QuantumBayesian Coherence
, 2009
"... In a quantumBayesian take on quantum mechanics, the Born Rule cannot be interpreted as a rule for setting measurementoutcome probabilities from an objective quantum state. But if not, what is the role of the rule? In this paper, we argue that it should be seen as an empirical addition to Bayesian ..."
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Cited by 13 (1 self)
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In a quantumBayesian take on quantum mechanics, the Born Rule cannot be interpreted as a rule for setting measurementoutcome probabilities from an objective quantum state. But if not, what is the role of the rule? In this paper, we argue that it should be seen as an empirical addition to Bayesian reasoning itself. Particularly, we show how to view the Born Rule as a normative rule in addition to usual Dutchbook coherence. It is a rule that takes into account how one should assign probabilities to the consequences of various intended measurements on a physical system, but explicitly in terms of prior probabilities for and conditional probabilities consequent upon the imagined outcomes of a special counterfactual reference measurement. This interpretation is seen particularly clearly by representing quantum states in terms of probabilities for the outcomes of a fixed, fiducial symmetric informationally complete (SIC) measurement. We further explore the extent to which the general form of the new normative rule implies the
Defending TimeSymmetrized Quantum Theory
, 1996
"... Recently, several authors have criticized timesymmetrized quantum theory originated by the work of Aharonov et al. (1964). The core of this criticism was the proof, which appeared in various forms, showing that counterfactual interpretation of timesymmetrized quantum theory cannot be reconciled wi ..."
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Cited by 12 (4 self)
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Recently, several authors have criticized timesymmetrized quantum theory originated by the work of Aharonov et al. (1964). The core of this criticism was the proof, which appeared in various forms, showing that counterfactual interpretation of timesymmetrized quantum theory cannot be reconciled with the standard quantum theory. I argue here that the apparent contradiction appears due to inappropriate usage of traditional time asymmetric approach to counterfactuals, and that the contradiction disappears when the problem is analyzed in terms of timesymmetric counterfactuals. I analyze various aspects of timesymmetry of quantum theory and defend the timesymmetrized formalism.
StrongerThanQuantum Correlations
 Foundations of Physics
, 1998
"... this paper we will focus on the consequences of a violation of Bell ' s inequality stronger than permitted by quantum mechanics ..."
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Cited by 11 (6 self)
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this paper we will focus on the consequences of a violation of Bell ' s inequality stronger than permitted by quantum mechanics
Popper and the Copenhagen interpretation
 Stud. Hist. Philos. Modern Phys
, 2002
"... Popper conceived an experiment whose analysis led to a result that he deemed absurd. Popper wrote that his reasoning was based on the Copenhagen interpretation and therefore invalidated the latter. Actually, Popper’s argument involves counterfactual reasoning and violates Bohr’s complementarity prin ..."
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Cited by 5 (0 self)
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Popper conceived an experiment whose analysis led to a result that he deemed absurd. Popper wrote that his reasoning was based on the Copenhagen interpretation and therefore invalidated the latter. Actually, Popper’s argument involves counterfactual reasoning and violates Bohr’s complementarity principle. The absurdity of Popper’s result only confirms Bohr’s approach. I called thee to curse mine enemies, and, behold, thou hast altogether blessed them. Numbers 24:10 The emergence of quantum mechanics led to considerable progress in our understanding of physical phenomena. However, it also led to serious misconceptions. In my current work as a theoretical physicist, I recently examined a conceptual experiment that was proposed some time ago by Karl Popper (1982). Its feasibility was challenged by Collett and Loudon (1987) who claimed that such an experiment would be inconclusive. Nevertheless, an
BellBoole Inequality: Nonlocality or Probabilistic Incompatibility of Random Variables?
, 2008
"... Abstract: The main aim of this report is to inform the quantum information community about investigations on the problem of probabilistic compatibility of a family of random variables: a possibility to realize such a family on the basis of a single probability measure (to construct a single Kolmogor ..."
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Cited by 5 (0 self)
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Abstract: The main aim of this report is to inform the quantum information community about investigations on the problem of probabilistic compatibility of a family of random variables: a possibility to realize such a family on the basis of a single probability measure (to construct a single Kolmogorov probability space). These investigations were started hundred of years ago by J. Boole (who invented Boolean algebras). The complete solution of the problem was obtained by Soviet mathematician Vorobjev in 60th. Surprisingly probabilists and statisticians obtained inequalities for probabilities and correlations among which one can find the famous Bell’s inequality and its generalizations. Such inequalities appeared simply as constraints for probabilistic compatibility. In this framework one can not see a priori any link to such problems as nonlocality and “death of reality ” which are typically linked to Bell’s type inequalities in physical literature. We analyze the difference between positions of mathematicians and quantum physicists. In particular, we found that one of the most reasonable explanations of probabilistic incompatibility is mixing in Bell’s type inequalities statistical data from a number of experiments performed under different experimental contexts.
Can quantummechanical description of physical reality be considered correct”, in preparation
"... In loving memory of Asher Peres, we discuss a most important and influential paper written in 1935 by his thesis supervisor and mentor Nathan Rosen, together with Albert Einstein and Boris Podolsky. In that paper, the trio known as EPR questioned the completeness of quantum mechanics. The authors ar ..."
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Cited by 4 (2 self)
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In loving memory of Asher Peres, we discuss a most important and influential paper written in 1935 by his thesis supervisor and mentor Nathan Rosen, together with Albert Einstein and Boris Podolsky. In that paper, the trio known as EPR questioned the completeness of quantum mechanics. The authors argued that the thennew theory should not be considered final because they believed it incapable of describing physical reality. The epic battle between Einstein and Bohr intensified following the latter’s response later the same year. Three decades elapsed before John S. Bell gave a devastating proof that the EPR argument was fatally flawed. The modest purpose of our paper is to give a critical analysis of the original EPR paper and point out its logical shortcomings in a way that could have been done 70 years ago, with no need to wait for Bell’s theorem. We also present an overview of Bohr’s response in the interest of showing how it failed to address