David W. Cohen

Bio: David W. Cohen is an academic researcher from Smith College. The author has contributed to research in topics: Quantum process & Quantum algorithm. The author has an hindex of 3, co-authored 7 publications receiving 51 citations.

Minimal Supports in Quantum Logics and Hilbert Space

Abstract: It is shown that if a fully atomic, complete orthomodular lattice satisfies a “minimal support condition” (m.s.c.), then it satisfies Piron's axioms, and is thereby shown to be the projection lattice of a generalized Hilbert space. It is shown, conversely, that m.s.c. holds in Hilbert space subspace lattices. The physical justification for m.s.c. is provided in the context of a property lattice ℒ(A, ∑) for a realistic entity (A, ∑) in the sense of Foulis-Piron-Randall. This context provides a clear focus on key issues in the debate over the appropriateness of requiring quantum logics to be represented over Hilbert spaces.

Reduction of Theoretical Uncertainty in Quantum Computing

Abstract: A theoretical framework is developed to evaluatethe amount of intrinsic uncertainty, as distinguishedfrom operational uncertainty (noise), inherent inquantum computation. The temporal evolution of states in quantum computing is analyzeddiagramatically, providing a visual tool for therefining of quantum algorithms to help achieve minimaluncertainty and maximal efficiency, as well as forbetter understanding of the quantum entanglements crucial to quantumcomputing.

Dynamic Entanglement and Separability Criteria for Quantum Computing Bit States

Abstract: A theoretical framework is demonstrated to evaluate the degree of entanglement of bit states in quantum computing Separability of general superposition of Hilbert space unit vectors is discussed, and criteria in amplitude as well as in phase are derived By these criteria the possibility of different quantum gates such as controlled not (CN), controlled controlled not (CCN), controlled rotation (CR), and controlled phase shift (CPS), to create the entanglement is examined Furthermore, the selection of measurement mode external to the quantum system is incorporated in the formula using Kronecker delta (δkx), introducing the concept of dynamic entanglement With this the process of wavefunction collapse upon measurement is understood as the result of the activation of the dynamic entanglement A firefly in a box model is used to show a pure state of ontological uncertainty, which is in a dynamically entangled state in Hilbert space

Non-relativistic Quantum Mechanics

Abstract: This essay is a discussion of the philosophical and foundational issues that arise in non-relativistic quantum theory. After introducing the formalism of the theory, I consider: characterizations of the quantum formalism, empirical content, uncertainty, the measurement problem, and non-locality. In each case, the main point is to give the reader some introductory understanding of some of the major issues and recent ideas.

Bibliography on quantum logics and related structures

Abstract: The bibliography contains 1851 references on axiomatic structures underlying quantum mechanics, with stress on varieties of algebraico-logical, probabilistic, and operational structures for which the term quantum logics is adopted. An index of about 250 keywords picked out from the titles is included and statistics about papers, journals, and authors are presented. Monographs and proceedings on the subject are noted.

Test Spaces and Orthoalgebras

Abstract: In a long series of papers published in the 1970s and early 1980s, D. J. Foulis and C. H. Randall developed a conceptually simple, but very compelling semantics for quantum logics and otherwise based on the notion of a manual or, in more recent usage, a test space. A test space is a collection A of non-empty sets, taken to represent the sets of outcomes associated with some collection of measurements, experiments or tests. Subject to a fairly mild constraint, one can construct from a test space A a “logic” II(A) having the structure of an orthoalgebra. All orthoalge-bras arise via this construction. This paper surveys gives an up-to-date survey of the theory of test spaces and orthoalgebras, including a discussion of recent work of the author on group actions on test spaces.