Positive Operator-Valued Measures in Quantum Decision Theory
نویسندگان
چکیده
Semantics and Memory Semantic Composition Inspired by Quantum Measurement. . . . . . . . . . . . . . 41 William Blacoe Expansion-by-Analogy: A Vector Symbolic Approach to Semantic Search . . . 54 Trevor Cohen, Dominic Widdows, and Thomas Rindflesch Subadditivity of Episodic Memory States: A Complementarity Approach . . . . 67 Jacob Denolf A Vector Field Approach to Lexical Semantics. . . . . . . . . . . . . . . . . . . . . . 78 Peter Wittek, Sándor Darányi, and Ying-Hsang Liu
منابع مشابه
Positive - Operator - Valued Time Observable in Quantum Mechanics
We examine the longstanding problem of introducing a time observable in Quantum Mechanics; using the formalism of positive-operator-valued measures we show how to define such an observable in a natural way and we discuss some consequences.
متن کاملQuantum model for psychological measurements: from the projection postulate to interference of mental observables represented as positive operator valued measures
Recently foundational issues of applicability of the formalism of quantum mechanics (QM) to cognitive psychology, decision making, and psychophysics attracted a lot of interest. In particular, in [1] the possibility to use of the projection postulate and representation of “mental observables” by Hermitian operators was discussed in very detail. The main conclusion of the recent discussions on t...
متن کاملAsymptotic Spectral Measures: Between Quantum Theory and E-theory
We review the relationship between positive operator-valued measures (POVMs) in quantum measurement theory and asymptotic morphisms in the C∗-algebra E-theory of Connes and Higson. The theory of asymptotic spectral measures, as introduced by Martinez and Trout [1], is integrally related to positive asymptotic morphisms on locally compact spaces via an asymptotic Riesz Representation Theorem. Ex...
متن کاملEgoroff Theorem for Operator-Valued Measures in Locally Convex Cones
In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...
متن کاملTight informationally complete quantum measurements
We introduce a class of informationally complete positive-operator-valued measures which are, in analogy with a tight frame, “as close as possible” to orthonormal bases for the space of quantum states. These measures are distinguished by an exceptionally simple state-reconstruction formula which allows “painless” quantum state tomography. Complete sets of mutually unbiased bases and symmetric i...
متن کامل