80 found
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  1. Interpreting the Quantum World.Jeffrey Bub - 1998 - British Journal for the Philosophy of Science 49 (4):637-641.
  2. 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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  3. Quantum Mechanics is About Quantum Information.Jeffrey Bub - 2005 - Foundations of Physics 35 (4):541-560.
    I argue that quantum mechanics is fundamentally a theory about the representation and manipulation of information, not a theory about the mechanics of nonclassical waves or particles. The notion of quantum information is to be understood as a new physical primitive—just as, following Einstein’s special theory of relativity, a field is no longer regarded as the physical manifestation of vibrations in a mechanical medium, but recognized as a new physical primitive in its own right.
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  4. (1 other version)Two dogmas about quantum mechanics.Jeffrey Bub & Itamar Pitowsky - 2010 - In Simon Saunders, Jonathan Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory, & Reality. Oxford, GB: Oxford University Press UK.
    We argue that the intractable part of the measurement problem -- the 'big' measurement problem -- is a pseudo-problem that depends for its legitimacy on the acceptance of two dogmas. The first dogma is John Bell's assertion that measurement should never be introduced as a primitive process in a fundamental mechanical theory like classical or quantum mechanics, but should always be open to a complete analysis, in principle, of how the individual outcomes come about dynamically. The second dogma is the (...)
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  5.  17
    Niels Bohr's Philosophy of Physics.Jeffrey Bub - 1990 - Philosophy of Science 57 (2):344-347.
  6. Why the quantum?Jeffrey Bub - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (2):241-266.
  7.  57
    A uniqueness theorem for ‘no collapse’ interpretations of quantum mechanics.Jeffrey Bub & Rob Clifton - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (2):181-219.
    We prove a uniqueness theorem showing that, subject to certain natural constraints, all 'no collapse' interpretations of quantum mechanics can be uniquely characterized and reduced to the choice of a particular preferred observable as determine (definite, sharp). We show how certain versions of the modal interpretation, Bohm's 'causal' interpretation, Bohr's complementarity interpretation, and the orthodox (Dirac-von Neumann) interpretation without the projection postulate can be recovered from the theorem. Bohr's complementarity and Einstein's realism appear as two quite different proposals for selecting (...)
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  8.  84
    Von Neumann's projection postulate as a probability conditionalization rule in quantum mechanics.Jeffrey Bub - 1977 - Journal of Philosophical Logic 6 (1):381 - 390.
  9. Quantum probabilities as degrees of belief.Jeffrey Bub - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):232-254.
  10.  30
    John von Neumann and the Foundations of Quantum Physics.Miklós Rédei, Michael Stöltzner, Walter Thirring, Ulrich Majer & Jeffrey Bub - 2013 - Springer Verlag.
    John von Neumann (1903-1957) was undoubtedly one of the scientific geniuses of the 20th century. The main fields to which he contributed include various disciplines of pure and applied mathematics, mathematical and theoretical physics, logic, theoretical computer science, and computer architecture. Von Neumann was also actively involved in politics and science management and he had a major impact on US government decisions during, and especially after, the Second World War. There exist several popular books on his personality and various collections (...)
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  11.  82
    In defense of a “single-world” interpretation of quantum mechanics.Jeffrey Bub - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 72:251-255.
  12.  49
    Quantum mechanics without the projection postulate.Jeffrey Bub - 1992 - Foundations of Physics 22 (5):737-754.
    I show that the quantum state ω can be interpreted as defining a probability measure on a subalgebra of the algebra of projection operators that is not fixed (as in classical statistical mechanics) but changes with ω and appropriate boundary conditions, hence with the dynamics of the theory. This subalgebra, while not embeddable into a Boolean algebra, will always admit two-valued homomorphisms, which correspond to the different possible ways in which a set of “determinate” quantities (selected by ω and the (...)
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  13.  59
    Quantum Mechanics as a Principle Theory.Jeffrey Bub - 2000 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 31 (1):75-94.
    I show how quantum mechanics, like the theory of relativity, can be understood as a 'principle theory' in Einstein's sense, and I use this notion to explore the approach to the problem of interpretation developed in my book Interpreting the Quantum World.
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  14. The Bare Theory Has No Clothes.Jeffrey Bub, Rob Clifton & Bradley Monton - 1998 - In Richard Healey & Geoffrey Hellman (eds.), Quantum Measurement: Beyond Paradox. University of Minnesota Press. pp. 32-51.
    We criticize the bare theory of quantum mechanics -- a theory on which the Schrödinger equation is universally valid, and standard way of thinking about superpositions is correct.
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  15.  81
    Maxwell's Demon and the Thermodynamics of Computation.Jeffrey Bub - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (4):569-579.
    It is generally accepted, following Landauer and Bennett, that the process of measurement involves no minimum entropy cost, but the erasure of information in resetting the memory register of a computer to zero requires dissipating heat into the environment. This thesis has been challenged recently in a two-part article by Earman and Norton. I review some relevant observations in the thermodynamics of computation and argue that Earman and Norton are mistaken: there is in principle no entropy cost to the acquisition (...)
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  16. Quantum entanglement and information.Jeffrey Bub - 2008 - Stanford Encyclopedia of Philosophy.
  17.  43
    Understanding the Frauchiger–Renner Argument.Jeffrey Bub - 2021 - Foundations of Physics 51 (2):1-9.
    In 2018, Daniela Frauchiger and Renato Renner published an article in Nature Communications entitled ‘Quantum theory cannot consistently describe the use of itself.’ The argument has been attacked as flawed from a variety of interpretational perspectives. I clarify the significance of the result as a sequence of actions and inferences by agents modeled as quantum systems evolving unitarily at all times. At no point does the argument appeal to a ‘collapse’ of the quantum state following a measurement.
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  18. (1 other version)Quantum Computation from a Quantum Logical Perspective.Jeffrey Bub - forthcoming - Philosophical Explorations.
  19.  52
    How to solve the measurement problem of quantum mechanics.Jeffrey Bub - 1988 - Foundations of Physics 18 (7):701-722.
    A solution to the measurement problem of quantum mechanics is proposed within the framework of an intepretation according to which only quantum systems with an infinite number of degrees of freedom have determinate properties, i.e., determinate values for (some) observables of the theory. The important feature of the infinite case is the existence of many inequivalent irreducible Hilbert space representations of the algebra of observables, which leads, in effect, to a restriction on the superposition principle, and hence the possibility of (...)
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  20. Testing models of cognition through the analysis of brain-damaged patients.Jeffrey Bub - 1994 - British Journal for the Philosophy of Science 45 (3):837-55.
    The aim of cognitive neuropsychology is to articulate the functional architecture underlying normal cognition, on the basis of congnitive performance data involving brain-damaged subjects. Throughout the history of the subject, questions have been raised as to whether the methods of neuropsychology are adequate to its goals. The question has been reopened by Glymour [1994], who formulates a discovery problem for cognitive neuropsychology, in the sense of formal learning theory, concerning the existence of a reliable methodology. It appears that the discovery (...)
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  21. (1 other version)The Interpretation of Quantum Mechanics.Jeffrey Bub - 1976 - British Journal for the Philosophy of Science 27 (3):295-297.
     
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  22.  47
    Quantum probabilities: an information-theoretic interpretation.Jeffrey Bub - 2011 - In Claus Beisbart & Stephan Hartmann (eds.), Probabilities in Physics. Oxford, GB: Oxford University Press. pp. 231.
  23. The Quantum Bit Commitment Theorem.Jeffrey Bub - 2001 - Foundations of Physics 31 (5):735-756.
    Unconditionally secure two-party bit commitment based solely on the principles of quantum mechanics (without exploiting special relativistic signalling constraints, or principles of general relativity or thermodynamics) has been shown to be impossible, but the claim is repeatedly challenged. The quantum bit commitment theorem is reviewed here and the central conceptual point, that an “Einstein–Podolsky–Rosen” attack or cheating strategy can always be applied, is clarified. The question of whether following such a cheating strategy can ever be disadvantageous to the cheater is (...)
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  24.  74
    Quantum logic, conditional probability, and interference.Jeffrey Bub - 1982 - Philosophy of Science 49 (3):402-421.
    Friedman and Putnam have argued (Friedman and Putnam 1978) that the quantum logical interpretation of quantum mechanics gives us an explanation of interference that the Copenhagen interpretation cannot supply without invoking an additional ad hoc principle, the projection postulate. I show that it is possible to define a notion of equivalence of experimental arrangements relative to a pure state φ , or (correspondingly) equivalence of Boolean subalgebras in the partial Boolean algebra of projection operators of a system, which plays a (...)
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  25.  29
    A Paradox of Information.A Comment on Miller's New Paradox of Information.A Paradox of Zero Information.Miller's So-called Paradox: A Reply to Professor J. L. Mackie.Miller's paradox of Information.The Straight and Narrow Rule of Induction: A Reply to Dr Bub and Mr Radner.New Mysteries for Old: The Transfiguration of Miller's Paradox.David Miller, Karl R. Popper, Jeffrey Bub & Michael Radner - 1970 - Journal of Symbolic Logic 35 (1):124-127.
  26. Miller's paradox of information.Jeffrey Bub & Michael Radner - 1968 - British Journal for the Philosophy of Science 19 (1):63-67.
  27.  38
    On the structure of quantal proposition systems.Jeffrey Bub - 1994 - Foundations of Physics 24 (9):1261-1279.
    I define sublaltices of quantum propositions that can be taken as having determinate (but perhaps unknown) truth values for a given quantum state, in the sense that sufficiently many two-valued maps satisfying a Boolean homomorphism condition exist on each determinate sublattice to generate a Kolmogorov probability space for the probabilities defined by the slate. I show that these sublattices are maximal, subject to certain constraints, from which it follows easily that they are unique. I discuss the relevance of this result (...)
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  28.  83
    Revised Proof of the Uniqueness Theorem for ‘No Collapse’ Interpretations of Quantum Mechanics.Jeffrey Bub, Rob Clifton & Sheldon Goldstein - 2000 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 31 (1):95-98.
    We show that the Bub-Clifton uniqueness theorem (1996) for 'no collapse' interpretations of quantum mechanics can be proved without the 'weak separability' assumption.
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  29. Epr.Alan Hájek & Jeffrey Bub - 1992 - Foundations of Physics 22 (3):313-332.
    We present an exegesis of the Einstein-Podolsky-Rosen argument for the incompleteness of quantum mechanics, and defend it against the critique in Fine. (1) We contend,contra Fine, that it compares favorably with an argument reconstructed by him from a letter by Einstein to Schrödinger; and also with one given by Einstein in a letter to Popper. All three arguments turn on a dubious assumption of “separability,” which accords separate elements of reality to space-like separated systems. We discuss how this assumption figures (...)
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  30.  18
    On the completeness of quantum mechanics.Jeffrey Bub - 1973 - In Cliff Hooker (ed.), Contemporary research in the foundations and philosophy of quantum theory. Boston,: D. Reidel. pp. 1--65.
  31. Contextuality and Nonlocality in 'No Signaling' Theories.Jeffrey Bub & Allen Stairs - 2009 - Foundations of Physics 39 (7):690-711.
    We define a family of ‘no signaling’ bipartite boxes with arbitrary inputs and binary outputs, and with a range of marginal probabilities. The defining correlations are motivated by the Klyachko version of the Kochen-Specker theorem, so we call these boxes Kochen-Specker-Klyachko boxes or, briefly, KS-boxes. The marginals cover a variety of cases, from those that can be simulated classically to the superquantum correlations that saturate the Clauser-Horne-Shimony-Holt inequality, when the KS-box is a generalized PR-box (hence a vertex of the ‘no (...)
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  32.  27
    Why the Tsirelson bound?Jeffrey Bub - 2012 - In Yemima Ben-Menahem & Meir Hemmo (eds.), Probability in Physics. Springer. pp. 167--185.
  33. Schütte's tautology and the Kochen-Specker theorem.Jeffrey Bub - 1996 - Foundations of Physics 26 (6):787-806.
    I present a new 33-ray proof of the Kochen and Specker “no-go” hidden variable theorem in ℋ3, based on a classical tautology that corresponds to a contingent quantum proposition in ℋ3 proposed by Kurt Schütte in an unpublished letter to Specker in 1965. 1 discuss the relation of this proof to a 31-ray proof by Conway and Kochen, and to a 33-ray proof by Peres.
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  34.  99
    Some reflections on quantum logic and schrödinger's cat.Jeffrey Bub - 1979 - British Journal for the Philosophy of Science 30 (1):27-39.
  35.  85
    How to interpret quantum mechanics.Jeffrey Bub - 1994 - Erkenntnis 41 (2):253 - 273.
    I formulate the interpretation problem of quantum mechanics as the problem of identifying all possible maximal sublattices of quantum propositions that can be taken as simultaneously determinate, subject to certain constraints that allow the representation of quantum probabilities as measures over truth possibilities in the standard sense, and the representation of measurements in terms of the linear dynamics of the theory. The solution to this problem yields a modal interpretation that I show to be a generalized version of Bohm's hidden (...)
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  36.  57
    Hidden variables and quantum logic — a sceptical review.Jeffrey Bub - 1981 - Erkenntnis 16 (2):275 - 293.
  37.  35
    Measurement and “beables” in quantum mechanics.Jeffrey Bub - 1991 - Foundations of Physics 21 (1):25-42.
    It is argued that the measurement problem reduces to the problem of modeling quasi-classical systems in a modified quantum mechanics with superselection rules. A measurement theorem is proved, demonstrating, on the basis of a principle for selecting the quantities of a system that are determinate (i.e., have values) in a given state, that after a suitable interaction between a systemS and a quasi-classical systemM, essentially only the quantity measured in the interaction and the indicator quantity ofM are determinate. The theorem (...)
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  38. What Is Really There in the Quantum World?Jeffrey Bub - 2019 - In Alberto Cordero (ed.), Philosophers Look at Quantum Mechanics. Springer Verlag.
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  39. Quantum computation and pseudotelepathic games.Jeffrey Bub - 2008 - Philosophy of Science 75 (4):458-472.
    A quantum algorithm succeeds not because the superposition principle allows ‘the computation of all values of a function at once’ via ‘quantum parallelism’, but rather because the structure of a quantum state space allows new sorts of correlations associated with entanglement, with new possibilities for information‐processing transformations between correlations, that are not possible in a classical state space. I illustrate this with an elementary example of a problem for which a quantum algorithm is more efficient than any classical algorithm. I (...)
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  40.  26
    Introduction.Jeffrey Bub & Christopher A. Fuchs - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):339-341.
    Special Issue on Quantum Information and Computation.
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  41.  26
    The Conceptual Foundations of Contemporary Relativity Theory. J. C. Graves.Jeffrey Bub - 1974 - Philosophy of Science 41 (4):431-433.
  42. Quantum versus classical information.Jeffrey Bub - 2017 - In Olimpia Lombardi, Sebastian Fortin, Federico Holik & Cristian López (eds.), What is Quantum Information? New York, NY: CUP.
     
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  43. The Philosophical Implications of Quantum Mechanics: No Dogs or Philosophers Allowed.Ken Knisely, Jeffrey Bub, Tim Maudlin & Drew Arrowood - forthcoming - DVD.
    What’s the deal with the really, really, weird-acting stuff that everything is made of? Can we ever take in our everyday world the same way again if we fully understand the nature of the quantum world? With Jeffrey Bub , Tim Maudlin , and Drew Arrowood.
     
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  44.  21
    Secure key distribution via pre- and post-selected quantum states.Jeffrey Bub - unknown
    A quantum key distribution scheme whose security depends on the features of pre- and post-selected quantum states is described.
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  45. The problem of properties in quantum mechanics.Jeffrey Bub - 1991 - Topoi 10 (1):27-34.
    The properties of classical and quantum systems are characterized by different algebraic structures. We know that the properties of a quantum mechanical system form a partial Boolean algebra not embeddable into a Boolean algebra, and so cannot all be co-determinate. We also know that maximal Boolean subalgebras of properties can be (separately) co-determinate. Are there larger subsets of properties that can be co-determinate without contradiction? Following an analysis of Bohrs response to the Einstein-Podolsky-Rosen objection to the complementarity interpretation of quantum (...)
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  46. Hidden Variables and the Copenhagen Interpretation—A Reconciliation1.Jeffrey Bub - 1968 - British Journal for the Philosophy of Science 19 (3):185-210.
  47.  77
    Non-Local Hidden Variable Theories and Bell's Inequality.Jeffrey Bub & Vandana Shiva - 1978 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1978:45-53.
    Bell's proof purports to show that any hidden variable theory satisfying a physically reasonable locality condition is characterized by an inequality which is inconsistent with the quantum statistics. It is shown that Bell's inequality actually characterizes a feature of hidden variable theories which is much weaker than locality in the sense considered physically motivated. We consider an example of non- local hidden variable theory which reproduces the quantum statistics. A simple extension of the theory, which preserves the non- local character, (...)
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  48.  15
    (2 other versions)The Philosophy of Quantum Mechanics.Jeffrey Bub - 1970 - Philosophy of Science 37 (1):153-156.
  49.  73
    From Micro to Macro: A Solution to the Measurement Problem of Quantum Mechanics.Jeffrey Bub - 1988 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:134 - 144.
    Philosophical debate on the measurement problem of quantum mechanics has, for the most part, been confined to the non-relativistic version of the theory. Quantizing quantum field theory, or making quantum mechanics relativistic, yields a conceptual framework capable of dealing with the creation and annihilation of an indefinite number of particles in interaction with fields, i.e. quantum systems with an infinite number of degrees of freedom. I show that a solution to the standard measurement problem is available if we exploit the (...)
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  50. Correlations, Contextuality and Quantum Logic.Allen Stairs & Jeffrey Bub - 2013 - Journal of Philosophical Logic 42 (3):483-499.
    Quantum theory is a probabilistic theory that embodies notoriously striking correlations, stronger than any that classical theories allow but not as strong as those of hypothetical ‘super-quantum’ theories. This raises the question ‘Why the quantum?’—whether there is a handful of principles that account for the character of quantum probability. We ask what quantum-logical notions correspond to this investigation. This project isn’t meant to compete with the many beautiful results that information-theoretic approaches have yielded but rather aims to complement that work.
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