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  1. Algorithms for quantum computation: Discrete logarithms and factoring.P. Shor - 1994 - Proceedings of the 35th Annual IEEE Symposium on Foundations of Computer Science:124-134.
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  • Superposition in quantum and classical mechanics.M. K. Bennett & D. J. Foulis - 1990 - Foundations of Physics 20 (6):733-744.
    Using the mathematical notion of an entity to represent states in quantum and classical mechanics, we show that, in a strict sense, proper superpositions are possible in classical mechanics.
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  • Toward a formal language for unsharp properties.Roberto Giuntini & Heinz Greuling - 1989 - Foundations of Physics 19 (7):931-945.
    Some algebraic structures of the set of all effects are investigated and summarized in the notion of a(weak) orthoalgebra. It is shown that these structures can be embedded in a natural way in lattices, via the so-calledMacNeille completion. These structures serve as a model ofparaconsistent quantum logic, orthologic, andorthomodular quantum logic.
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  • (1 other version)Effect algebras and unsharp quantum logics.D. J. Foulis & M. K. Bennett - 1994 - Foundations of Physics 24 (10):1331-1352.
    The effects in a quantum-mechanical system form a partial algebra and a partially ordered set which is the prototypical example of the effect algebras discussed in this paper. The relationships among effect algebras and such structures as orthoalgebras and orthomodular posets are investigated, as are morphisms and group- valued measures (or charges) on effect algebras. It is proved that there is a universal group for every effect algebra, as well as a universal vector space over an arbitrary field.
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  • Quantum probability and decision theory, revisited [2002 online-only paper].David Wallace - 2002
    An extended analysis is given of the program, originally suggested by Deutsch, of solving the probability problem in the Everett interpretation by means of decision theory. Deutsch's own proof is discussed, and alternatives are presented which are based upon different decision theories and upon Gleason's Theorem. It is argued that decision theory gives Everettians most or all of what they need from `probability'. Contact is made with Lewis's Principal Principle linking subjective credence with objective chance: an Everettian Principal Principle is (...)
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  • Characterizing quantum theory in terms of information-theoretic constraints.Rob Clifton, Jeffrey Bub & Hans Halvorson - 2002 - Foundations of Physics 33 (11):1561-1591.
    We show that three fundamental information-theoretic constraints -- the impossibility of superluminal information transfer between two physical systems by performing measurements on one of them, the impossibility of broadcasting the information contained in an unknown physical state, and the impossibility of unconditionally secure bit commitment -- suffice to entail that the observables and state space of a physical theory are quantum-mechanical. We demonstrate the converse derivation in part, and consider the implications of alternative answers to a remaining open question about (...)
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  • Physics, machines, and the hard problem.D. Bilodeau - 1996 - Journal of Consciousness Studies 3 (5-6):386-401.
    The ‘hard problem’ of the origin of phenomenal consciousness in a physical universe is aggravated by a simplistic and uncritical concept of the physical realm which still predominates in much discussion of the subject. David Chalmers is correct in claiming that phenomenal experience is logically independent of a physical description of the world, but his proposal for a ‘natural supervenience’ of experience on a physical substrate is misguided. His statements about machine consciousness and the role of information are especially compromised. (...)
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  • The many-worlds interpretation of quantum mechanics: Psychological versus physical bases for the multiplicity of "worlds".Howard Barnum - unknown
    This unpublished 1990 preprint argues that a crucial distinction in discussions of the many-worlds interpretation of quantum mechanics (MWI) is that between versions of the interpretation positing a physical multiplicity of worlds, and those in which the multiplicity is merely psychological, and due to the splitting of consciousness upon interaction with amplified quantum superpositions. It is argued that Everett's original version of the MWI belongs to the latter class, and that most of the criticisms leveled against the MWI, in particular (...)
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