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Contextuality is a necessary resource for universal quantum computation and non-contextual quantum mechanics can be simulated efficiently by classical computers in many cases. Orders of Planck's constant, $\hbar$, can also be used to…

量子物理 · 物理学 2018-08-01 Lucas Kocia , Peter Love

Software testing is a critical component of the classical software development lifecycle, and this principle is expected to hold true for quantum software as it evolves toward large-scale production and adherence to industry standards.…

Contextuality, the impossibility of assigning a single random variable to represent the outcomes of the same measurement procedure under different experimental conditions, is a central aspect of quantum mechanics. Thus defined, it appears…

神经元与认知 · 定量生物学 2016-02-17 J. Acacio de Barros , Gary Oas

Contextuality is a feature of quantum correlations. It is crucial from a foundational perspective as a nonclassical phenomenon, and from an applied perspective as a resource for quantum advantage. It is commonly defined in terms of hidden…

Two entangled particles in threedimensional Hilbert space (per particle) are considered in an EPR-type arrangement. On each side the Kochen-Specker observables $\{J_1^2,J_2^2,J_3^2\}$ and $\{\bar J_1^2, \bar J_2^2,J_3^2\}$ with $[J_1^2,\bar…

量子物理 · 物理学 2007-05-23 Karl Svozil

Models of a phenomenon are often developed by examining it under different experimental conditions, or measurement contexts. The resultant probabilistic models assume that the underlying random variables, which define a measurable set of…

人工智能 · 计算机科学 2018-02-05 Peter D. Bruza

We propose and analyze a generalized model of photodetection in which the detector couples simultaneously to both electric and magnetic components of the electromagnetic field. Extending Glauber's seminal theory, we show that such…

量子物理 · 物理学 2025-07-10 Brian Stout

Quantum contextuality is one of the most perplexing and peculiar features of quantum mechanics. Concisely, it refers to the observation that the result of a single measurement in quantum mechanics depends on the set of joint measurements…

量子物理 · 物理学 2022-10-28 Zheng-Hao Liu , Qiang Li , Bi-Heng Liu , Yun-Feng Huang , Jin-Shi Xu , Chuan-Feng Li , Guang-Can Guo

Generalized contextuality is a possible indicator of non-classical behaviour in quantum information theory. In finite-dimensional systems, this is justified by the fact that noncontextual theories can be embedded into some simplex, i.e.…

KS-contextuality is a crucial feature of quantum theory. Previous research demonstrated the vanishing of $N$-cycle KS-contextuality in setups where multiple independent observers measure sequentially on the same system, which we call Public…

量子物理 · 物理学 2023-12-05 Arthur C. R. Dutra , Roberto D. Baldijão , Marcelo Terra Cunha

Contextuality is a central feature of quantum theory, traditionally understood as the impossibility of reproducing quantum measurement statistics using noncontextual ontological models. We study classical ontological descriptions in which a…

人工智能 · 计算机科学 2026-04-16 Song-Ju Kim

Identifying when observed statistics cannot be explained by any reasonable classical model is a central problem in quantum foundations. A principled and universally applicable approach to defining and identifying nonclassicality is given by…

A measurement strategy is developed for a new kind of hypothesis testing. It assigns, with minimum probability of error, the state of a quantum system to one or the other of two complementary subsets of a set of N given non-orthogonal…

量子物理 · 物理学 2009-11-07 Ulrike Herzog , Janos A. Bergou

The emergence of classicality is fundamentally driven by the interaction between a quantum system and its environment. Foundational open-system approaches, notably the Caldeira-Leggett model, successfully captured how these interactions…

量子物理 · 物理学 2026-04-28 Arthur C. R. Dutra , Roberto D. Baldijão , Marcelo Terra Cunha

A PhD student is locked inside a box, imitating a quantum system by mimicking the measurement statistics of any viable observable nominated by external observers. Inside a second box lies a genuine quantum system. Either box can be used to…

量子物理 · 物理学 2015-06-19 Jayne Thompson , Mile Gu , Pawel Kurzynski , Su-Yong Lee , Dagomir Kaszlikowski

From behavioral sciences to biology to quantum mechanics, one encounters situations where (i) a system outputs several random variables in response to several inputs, (ii) for each of these responses only some of the inputs may "directly"…

概率论 · 数学 2015-09-01 E. N. Dzhafarov , J. V. Kujala

Results of measurements give legitimacy to a physical theory. What if acquiring these results in the first place necessitates what the same theory considers to be an interaction? In this note, we assume that theories account for…

量子物理 · 物理学 2019-05-01 Arne Hansen , Stefan Wolf

We present a proof for a conjecture previously formulated by Dzhafarov, Kujala, and Larsson (Foundations of Physics, in press, arXiv:1411.2244). The conjecture specifies a measure for the degree of contextuality and a criterion (necessary…

量子物理 · 物理学 2019-09-16 Janne V. Kujala , Ehtibar N. Dzhafarov

State transformations in quantum mechanics are described by completely positive maps which are constructed from quantum channels. We call a finest sharp quantum channel a context. The result of a measurement depends on the context under…

量子物理 · 物理学 2022-09-01 Stan Gudder

In quantum physics there are well-known situations when measurements of the same property in different contexts (under different conditions) have the same probability distribution, but cannot be represented by one and the same random…

神经元与认知 · 定量生物学 2020-06-02 Irina Basieva , Víctor H. Cervantes , Ehtibar N. Dzhafarov , Andrei Khrennikov