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Betting on the outcomes of measurements: a Bayesian theory of quantum probability
, 2003
"... We develop a systematic approach to quantum probability as a theory of rational bettingin quantum gambles. In these games of chance, the agent is betting in advance on the outcomes of several (finitely many) incompatible measurements. One of the measurements is subsequently chosen and performed and ..."
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Cited by 24 (4 self)
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We develop a systematic approach to quantum probability as a theory of rational bettingin quantum gambles. In these games of chance, the agent is betting in advance on the outcomes of several (finitely many) incompatible measurements. One of the measurements is subsequently chosen and performed and the money placed on the other measurements is returned to the agent. We show how the rules of rational betting imply all the interesting features of quantum probability, even in such finite gambles. These include the uncertainty principle and the violation of Bell’s inequality amongothers. Quantum gambles are closely related to quantum logic and provide a new semantics for it. We conclude with a philosophical discussion on the interpretation of quantum mechanics.
Quantum randomness and value indefiniteness
 Advanced Science Letters
"... As computability implies value definiteness, certain sequences of quantum outcomes cannot be computable. 1. CONCEPTUALISATION It certainly would be fascinating to pinpoint the time of the emergence of the notion that certain quantum processes, such as the decay of an excited quantum state, occurs pr ..."
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Cited by 23 (8 self)
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As computability implies value definiteness, certain sequences of quantum outcomes cannot be computable. 1. CONCEPTUALISATION It certainly would be fascinating to pinpoint the time of the emergence of the notion that certain quantum processes, such as the decay of an excited quantum state, occurs principally and irreducibly at random; and howlong it took to become the dominant way of thinking about them after almost two centuries of quasirationalistic dominance. Bohr’s and Heisenberg’s influence has been highly recognised and has prevailed, even against the strong rationalistic and philosophic objections raised by, for instance, by Einstein and Schrödinger. 1 � 2 Of course, one of the strongest reasons for this growing acceptance of quantum randomness has been the factual inability to go “beyond ” the quantum in any manner which would encourage new phenomenology and might result in any hope for a progressive quasiclassical research program. 3
Physical versus Computational Complementarity I
, 1996
"... The dichotomy between endophysical/intrinsic and exophysical/extrinsic perception concerns the question of how a model  mathematical, logical, computational  universe is perceived from inside or from outside, [71, 65, 66, 59, 60, 68, 67]. This distinction goes back in time at least to Archimedes, ..."
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Cited by 20 (19 self)
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The dichotomy between endophysical/intrinsic and exophysical/extrinsic perception concerns the question of how a model  mathematical, logical, computational  universe is perceived from inside or from outside, [71, 65, 66, 59, 60, 68, 67]. This distinction goes back in time at least to Archimedes, reported to have asked for a point outside the world from which one could move the earth. An exophysical perception is realized when the system is laid out and the experimenter peeps at the relevant features without changing the system. The information flows on a oneway road: from the system to the experimenter. An endophysical perception can be realized when the experimenter is part of the system under observation. In such a case one has a twoway informational flow; measurements and entities measured are interchangeable and any attempt to distinguish between them ends up as a convention. The general conception dominating the sciences is that the physical universe is perceivable ...
Partition logics, orthoalgebras and automata
 Helvetica Physica Acta
, 1995
"... We investigate the orthoalgebras of certain nonBoolean models which have a classical realization. Our particular concern will be the partition logics arising from the investigation of the empirical propositional structure of Moore and Mealy type automata. 1 ..."
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Cited by 16 (10 self)
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We investigate the orthoalgebras of certain nonBoolean models which have a classical realization. Our particular concern will be the partition logics arising from the investigation of the empirical propositional structure of Moore and Mealy type automata. 1
Computational universes
 Chaos, Solitons & Fractals
, 2006
"... Suspicions that the world might be some sort of a machine or algorithm existing “in the mind ” of some symbolic number cruncher have lingered from antiquity. Although popular at times, the most radical forms of this idea never reached mainstream. Modern developments in physics and computer science h ..."
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Cited by 15 (5 self)
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Suspicions that the world might be some sort of a machine or algorithm existing “in the mind ” of some symbolic number cruncher have lingered from antiquity. Although popular at times, the most radical forms of this idea never reached mainstream. Modern developments in physics and computer science have lent support to the thesis, but empirical evidence is needed before it can begin to replace our contemporary world view.
Dynamic quantum logic for quantum programs
 International Journal of Quantum Information
"... We present a way to apply quantum logic to the study of quantum programs. This is made possible by using an extension of the usual propositional language in order to make transformations performed on the system appear explicitly. This way, the evolution of the system becomes part of the logical stud ..."
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Cited by 14 (2 self)
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We present a way to apply quantum logic to the study of quantum programs. This is made possible by using an extension of the usual propositional language in order to make transformations performed on the system appear explicitly. This way, the evolution of the system becomes part of the logical study. We show how both unitary operations and twovalued measurements can be included in this formalism and can thus be handled logically. 1
Logical Equivalence between Generalized Urn Models and Finite Automata
 International Journal of Theoretical Physics
, 2002
"... To every generalized urn model there exists a finite (Mealy) automaton with identical propositional calculus. The converse is true as well. ..."
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Cited by 14 (12 self)
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To every generalized urn model there exists a finite (Mealy) automaton with identical propositional calculus. The converse is true as well.
Noncontextuality in multipartite entanglement
 J. Phys. A: Math. Gen
, 2005
"... Abstract. We discuss several multiport interferometric preparation and measurement configurations and show that they are noncontextual. Generalizations to the n particle case are discussed. ..."
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Cited by 11 (11 self)
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Abstract. We discuss several multiport interferometric preparation and measurement configurations and show that they are noncontextual. Generalizations to the n particle case are discussed.
A priori Knowledge and the KochenSpecker Theorem
, 2008
"... We introduce and formalize a notion of “a priori knowledge ” about a quantum system, and show some properties about this form of knowledge. Finally, we show that the KochenSpecker theorem follows directly from this study. 1 ..."
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Cited by 9 (7 self)
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We introduce and formalize a notion of “a priori knowledge ” about a quantum system, and show some properties about this form of knowledge. Finally, we show that the KochenSpecker theorem follows directly from this study. 1
Contexts in quantum, classical and partition logic
 In Handbook of Quantum Logic
, 2006
"... Contexts are maximal collections of comeasurable observables “bundled together ” to form a “quasiclassical miniuniverse. ” Different notions of contexts are discussed for classical, quantum and generalized urn–automaton systems. PACS numbers: 02.10.v,02.50.Cw,02.10.Ud ..."
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Cited by 9 (8 self)
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Contexts are maximal collections of comeasurable observables “bundled together ” to form a “quasiclassical miniuniverse. ” Different notions of contexts are discussed for classical, quantum and generalized urn–automaton systems. PACS numbers: 02.10.v,02.50.Cw,02.10.Ud