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Standard quantum mechanics undeniably violates the notion of separability that classical physics accustomed us to consider as valid. By relating the phenomenon of quantum nonseparability to the all-important concept of potentiality, we…

量子物理 · 物理学 2008-11-25 Vassilios Karakostas

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

Bell inequalities may only be derived, if hidden variables do not depend on the experimental settings. The stochastic independence of hidden and setting variables is called: freedom of choice, free will, measurement independence or no…

量子物理 · 物理学 2022-04-01 Marian Kupczynski

The contextuality and noncontextuality notions are considered in framework of probability representation of quantum states. Example of qutrit states and violation of the noncontextuality inequalities are presented by using the spin tomogram…

量子物理 · 物理学 2013-04-30 A. A. Strakhov , V. I. Man'ko

In a recent note, Hance and Hossenfelder (arXiv:2211.01331) recall that "locally causal completions of quantum mechanics are possible, if they violate the assumption [called statistical independence or measurement independence] that the…

量子物理 · 物理学 2022-11-15 Adán Cabello

Measurement incompatibility is the most basic resource that distinguishes quantum from classical physics. Contextuality is the critical resource behind the power of some models of quantum computation and is also a necessary ingredient for…

量子物理 · 物理学 2019-02-20 Zhen-Peng Xu , Adán Cabello

If a quantum system is prepared and later post-selected in certain states, "paradoxical" predictions for intermediate measurements can be obtained. This is the case both when the intermediate measurement is strong, i.e. a projective…

量子物理 · 物理学 2015-11-06 Matthew F. Pusey , Matthew S. Leifer

Many seemingly paradoxical effects are known in the predictions for outcomes of measurements made on pre- and post-selected quantum systems. A class of such effects, which we call ``logical pre- and post-selection paradoxes'', bear a…

量子物理 · 物理学 2007-05-23 M. S. Leifer , R. W. Spekkens

We present and experimentally demonstrate a novel non-classical phenomenon, bi-contextuality, observed in quantum systems prepared by two independent sources. This discovery plays a key role in the developing framework of network…

This note is concerned with a formal analysis of the problem of non-monotonic reasoning in intelligent systems, especially when the uncertainty is taken into account in a quantitative way. A firm connection between logic and probability is…

人工智能 · 计算机科学 2013-04-05 Hung-Trung Nguyen

Two notions of nonclassicality that have been investigated intensively are: (i) negativity, that is, the need to posit negative values when representing quantum states by quasiprobability distributions such as the Wigner representation, and…

量子物理 · 物理学 2008-07-07 Robert W. Spekkens

Most behavioral and social experiments aimed at revealing contextuality are confined to cyclic systems with binary outcomes. In quantum physics, this broad class of systems includes as special cases Klyachko-Can-Binicioglu-Shumovsky-type,…

神经元与认知 · 定量生物学 2016-02-12 Ehtibar Dzhafarov , Ru Zhang , Janne Kujala

The information-theoretic approach to Bell's theorem is developed with use of the conditional $q$-entropies. The $q$-entropic measures fulfill many similar properties to the standard Shannon entropy. In general, both the locality and…

量子物理 · 物理学 2014-11-11 Alexey E. Rastegin

The non-classicality of single quantum systems can be formalised using the notion of contextuality. But can contextuality be convincingly demonstrated in an experiment, without reference to the quantum formalism? The operational approach to…

量子物理 · 物理学 2019-04-19 Matthew F. Pusey , Lídia del Rio , Bettina Meyer

Quantum nonlocality and contextuality are two phenomena stemming from nonclassical correlations. Whereas the former requires entanglement that is consumed in the measurement process the latter can occur for any state if one chooses a proper…

量子物理 · 物理学 2016-05-11 Marek Wajs , Su-Yong Lee , Pawel Kurzynski , Dagomir Kaszlikowski

Contextuality is a key characteristic that separates quantum from classical phenomena and an important tool in understanding the potential advantage of quantum computation. However, when assessing the quantum resources available for quantum…

量子物理 · 物理学 2026-03-04 Maiyuren Srikumar , Stephen D. Bartlett , Angela Karanjai

We study the contextuality of a three-level quantum system using classical conditional entropy of measurement outcomes. First, we analytically construct the minimal configuration of measurements required to reveal contextuality. Next, an…

量子物理 · 物理学 2013-05-30 Pawel Kurzynski , Ravishankar Ramanathan , Dagomir Kaszlikowski

Classical realism demands that system properties exist independently of whether they are measured, while noncontextuality demands that the results of measurements do not depend on what other measurements are performed in conjunction with…

This article is an exploratory account of the the non-monotonic behaviour of conceptual associations in the light of context. Computational approximations of conceptual space are furnished by semantic space models which are emerging from…

量子物理 · 物理学 2007-05-23 P. D. Bruza , R. J. Cole

When it isn't possible to tell two distinct experimental procedures apart purely from their input/output statistics, then it seems a plausible hypothesis that the two procedures must be physically identical. We call such a hypothesis…

量子物理 · 物理学 2021-02-17 Ravi Kunjwal