15 found
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  1.  21
    Sensitivity of Entanglement Measures in Bipartite Pure Quantum States.Danko D. Georgiev & Stanley P. Gudder - 2022 - Modern Physics Letters B 36 (22):2250101.
    Entanglement measures quantify the amount of quantum entanglement that is contained in quantum states. Typically, different entanglement measures do not have to be partially ordered. The presence of a definite partial order between two entanglement measures for all quantum states, however, allows for meaningful conceptualization of sensitivity to entanglement, which will be greater for the entanglement measure that produces the larger numerical values. Here, we have investigated the partial order between the normalized versions of four entanglement measures based on Schmidt (...)
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  2. And Formal Semantics. He has Published Books as Well as Articles in Both Fields. His Work on Logic Led Him to Investigate Logical Struc-Tures Arising in Mathematical Physics. Edward Gerjuoy Professor Edward Gerjuoy BS (Physics, City College of the City. [REVIEW]Richard J. Greechie, Dick Greechie & Stanley P. Gudder - 1973 - In C. A. Hooker (ed.), Contemporary Research in the Foundations and Philosophy of Quantum Theory. Boston: D. Reidel. pp. 2.
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  3.  10
    A Logical Explanation for Quarks.Stanley P. Gudder - 1982 - Foundations of Physics 12 (4):419-431.
    We construct a quantum logic which generates the usual quark states. It follows from this model that quarks can combine only in quark-antiquark pairs and quark (and antiquark) triples. The ground meson and baryon states are also generated and gluons are discussed.
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  4.  77
    Book Review: By Michael A. Nielsen and Isaac L. Chuang. Cambridge University Press, Cambridge, United Kingdom, 2000, I–Xxv+ 676 Pp., $42.00 (Hardcover). [REVIEW]Stanley P. Gudder - 2001 - Foundations of Physics 31 (11):1665-1667.
  5.  42
    Book Review: New Trends in Quantum Structures. Anatolij Dvurečenskij and Sylvia Pulmannová. Kluwer Academic Publishers, Dordrecht, 2000, I-Xvi, 1-541, $185 (Hardcover). [REVIEW]Stanley P. Gudder - 2001 - Foundations of Physics 31 (5):863-865.
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  6.  37
    Book Review: Quantum Computing and Quantum Communications, Edited by Colin P. Williams. [REVIEW]Stanley P. Gudder - 1999 - Foundations of Physics 29 (10):1639-1642.
  7.  35
    Book Review: Quantum Computation and Quantum Information. By Michael A. Nielsen and Isaac L. Chuang. Cambridge University Press, Cambridge, United Kingdom, 2000, I–Xxv+676 Pp., $42.00 (Hardcover). [REVIEW]Stanley P. Gudder - 2001 - Foundations of Physics 31 (11):1665-1667.
  8. Reality, Locality, and Probability.Stanley P. Gudder - 1984 - Foundations of Physics 14 (10):997-1010.
    It is frequently argued that reality and locality are incompatible with the predictions of quantum mechanics. Various investigators have used this as evidence for the existence of hidden variables. However, Bell's inequalities seem to refute this possibility. Since the above arguments are made within the framework of conventional probability theory, we contend that an alternative solution can be found by an extension of this theory. Elaborating on some ideas of I. Pitowski, we show that within the framework of a generalized (...)
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  9.  57
    Quantum Graphic Dynamics.Stanley P. Gudder - 1988 - Foundations of Physics 18 (7):751-776.
    A discrete quantum mechanics is developed and used to construct models for discrete space-time and for the internal dynamics of elementary particles. This dynamics is given in terms of particles performing a quantum random walk on a multigraph.
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  10.  14
    Book Review: Quantum Logic in Algebraic Approach, by Milklós Rédei. [REVIEW]Stanley P. Gudder - 1998 - Foundations of Physics 28 (11):1729-1730.
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  11.  28
    The Wave-Particle Dualism: A Tribute to Louis de Broglie on His 90th Birthday. S. Diner, D. Fargue, G. Lochak, F. Selleri.Stanley P. Gudder - 1985 - Philosophy of Science 52 (1):169-170.
  12.  9
    Observables, Calibration, and Effect Algebras.David J. Foulis & Stanley P. Gudder - 2001 - Foundations of Physics 31 (11):1515-1544.
    We introduce and study the D-model, which reflects the simplest situation in which one wants to calibrate an observable. We discuss the question of representing the statistics of the D-model in the context of an effect algebra.
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  13.  8
    Linearity of Expectation Functionals.Stanley P. Gudder - 1985 - Foundations of Physics 15 (1):101-111.
    LetB be the set of bounded observables on a quantum logic. A mapJ: B →R is called an expectation functional ifJ is normalized, positive, continuous, and compatibly linear. Two questions are considered. IsJ linear, and isJ an expectation relative to some state? It is shown that the answers are affirmative for hidden variable logics and most Hilbert space logics. An example is given which shows thatJ can be nonlinear on an arbitrary quantum logic.
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  14.  6
    An Approach to Measurement.Stanley P. Gudder - 1983 - Foundations of Physics 13 (1):35-49.
    We present a new approach to measurement theory. Our definition of measurement is motivated by direct laboratory procedures as they are carried out in practice. The theory is developed within the quantum logic framework. This work clarifies an important problem in the quantum logic approach; namely, where the Hilbert space comes from. We consider the relationship between measurements and observables, and present a Hilbert space embedding theorem. We conclude with a discussion of charge systems.
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  15.  16
    Survey of a Quark Model.Stanley P. Gudder - 1982 - Foundations of Physics 12 (11):1041-1055.
    We present a survey of a finite-dimensional quark model. We begin with a discussion of measurements on a quantum logic. After making the fundamental assumption that there are three basic colors, the measurement theory provides a natural embedding of the quantum logic into a finite-dimensional Hilbert space. This Hilbert space represents the space of pure quark states. Finite-dimensional quantum mechanics is discussed and the color, and flavor observables are derived. Quark and baryon Hamiltonians are proposed, and a brief description of (...)
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