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In the quantum Bayesian (or QBist) conception of quantum theory, "quantum measurement" is understood not as a comparison of something pre-existent with a standard, but instead indicative of the creation of something new in the universe:…

量子物理 · 物理学 2014-12-17 Christopher Fuchs , Ruediger Schack

Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems.…

量子物理 · 物理学 2011-11-09 O. E. Barndorff-Nielsen , R. D. Gill , P. E. Jupp

In the paper is discussed complete probabilistic description of quantum systems with application to multiqubit quantum computations. In simplest case it is a set of probabilities of transitions to some fixed set of states. The probabilities…

量子物理 · 物理学 2007-05-23 Alexander Yu. Vlasov

Characterizing quantum correlations in terms of information-theoretic principles is a popular chapter of quantum foundations. Traditionally, the principles adopted for this scope have been expressed in terms of conditional probability…

量子物理 · 物理学 2017-04-20 Giulio Chiribella , Xiao Yuan

A unified framework for different formulations of quantum theoery is introduced specifying what is meant by a quantum mechanical theory in general.

量子物理 · 物理学 2021-10-28 James Hartle

Quantum Theory is one of the pillars of modern science developed over the last hundred years. In this review paper we introduce, step by step, the quantum theory understood as a mathematical model describing quantum experiments. We start…

量子物理 · 物理学 2015-05-13 Teiko Heinosaari , Mario Ziman

The combination of argumentation and probability paves the way to new accounts of qualitative and quantitative uncertainty, thereby offering new theoretical and applicative opportunities. Due to a variety of interests, probabilistic…

人工智能 · 计算机科学 2018-03-12 Regis Riveret , Pietro Baroni , Yang Gao , Guido Governatori , Antonino Rotolo , Giovanni Sartor

We initiate the systematic study of experimental quantum physics from the perspective of computational complexity. To this end, we define the framework of quantum algorithmic measurements (QUALMs), a hybrid of black box quantum algorithms…

量子物理 · 物理学 2022-03-09 Dorit Aharonov , Jordan Cotler , Xiao-Liang Qi

A quantum probability model is introduced and used to explain human probability judgment errors including the conjunction, disjunction, inverse, and conditional fallacies, as well as unpacking effects and partitioning effects. Quantum…

综合物理 · 物理学 2009-09-16 Jerome R. Busemeyer , Riccardo Franco , Emmanuel M. Pothos

Basic quantum information measures involved in the information analysis of quantum systems are considered. It is shown that the main quantum information measurement methods depend on whether the corresponding quantum events are compatible…

量子物理 · 物理学 2007-05-23 B. A. Grishanin , V. N. Zadkov

We describe a cohomological framework for measurement based quantum computation, in which symmetry plays a central role. Therein, the essential information about the computational output is contained in topological invariants, namely…

量子物理 · 物理学 2019-12-23 Robert Raussendorf

Theories of natural language and concepts have been unable to model the flexibility, creativity, context-dependence, and emergence, exhibited by words, concepts and their combinations. The mathematical formalism of quantum theory has…

人工智能 · 计算机科学 2016-09-09 Diederik Aerts , Jan Broekaert , Liane Gabora , Sandro Sozzo

This paper presents a framework for Quantum causal modeling based on the interpretation of causality as a relation between an observer's probability assignments to hypothetical or counterfactual experiments. The framework is based on the…

量子物理 · 物理学 2020-01-15 Jacques Pienaar

The histories-based framework of Quantum Measure Theory assigns a generalized probability or measure $\mu(E)$ to every (suitably regular) set $E$ of histories. Even though $\mu(E)$ cannot in general be interpreted as the expectation value…

量子物理 · 物理学 2017-01-27 Álvaro Mozota Frauca , Rafael Dolnick Sorkin

In this paper two hypotheses are developed. The first hypothesis is the existence of random phenomena/experiments in which the events cannot generally be assigned a definite probability but that nevertheless admit a class of nearly certain…

量子物理 · 物理学 2023-02-24 Bruno Galvan

One of the main quests in quantum metrology, and quantum parameter estimation in general, is to find out the highest achievable precision with given resources and design schemes that attain that precision. In this article we present a…

量子物理 · 物理学 2016-05-23 Haidong Yuan , Chi-Hang Fred Fung

The program of a physical concept of information is outlined in the framework of quantum theory. A proposal is made for how to avoid the introduction of axiomatic observables. The conventional (collapse) and the Everett interpretations of…

量子物理 · 物理学 2015-06-26 H. D. Zeh

In quantum mechanics, outcomes of measurements on a state have a probabilistic interpretation while the evolution of the state is treated deterministically. Here we show that one can also treat the evolution as being probabilistic in nature…

量子物理 · 物理学 2009-11-10 J. Oppenheim , B. Reznik

Quantum theory can be viewed as a generalization of classical probability theory, but the analogy as it has been developed so far is not complete. Whereas the manner in which inferences are made in classical probability theory is…

量子物理 · 物理学 2013-12-04 M. S. Leifer , R. W. Spekkens

An understanding of quantum theory in terms of new, underlying descriptions capable of explaining the existence of non-classical correlations, non-commutativity of measurements and other unique and counter-intuitive phenomena remains still…

量子物理 · 物理学 2025-05-12 Yasmin Navarrete , Sergio Davis