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There are two different and logically independent concepts of noncontextuality in quantum mechanics. First, an ontological (hidden variable) model for quantum mechanics is called noncontextual if every ontic (hidden) state determines the…

Quantum Physics · Physics 2022-03-03 Gábor Hofer-Szabó

Pivotal within quantum physics, the concept of quantum incompatibility is generally related to algebraic aspects of the formalism, such as commutation relations and unbiasedness of bases. Recently, the concept was identified as a resource…

Quantum Physics · Physics 2020-12-24 E. Martins , M. F. Savi , R. M. Angelo

We can recognize two modes in which 'quantum appears' in macro domains: (i) a 'micro-physical appearance', where quantum laws are assumed to be universal and they are transferred from the micro to the macro level if suitable 'quantum…

History and Philosophy of Physics · Physics 2015-12-31 Diederik Aerts , Sandro Sozzo

A new variational method, the principle of least radix economy, is formulated. The mathematical and physical relevance of the radix economy, also called digit capacity, is established, showing how physical laws can be derived from this…

General Physics · Physics 2015-02-20 Vladimir Garcia-Morales

We propose the quantum mechanical description of complex systems should be performed using two types of causality relation: the ordering relation ($x\prec y$) and the subset relation ($A\subseteq B$). The structures with two ordering…

Quantum Physics · Physics 2016-07-26 M. V. Altaisky

The (consistent or decoherent) histories interpretation provides a consistent realistic ontology for quantum mechanics, based on two main ideas. First, a logic (system of reasoning) is employed which is compatible with the Hilbert-space…

Quantum Physics · Physics 2013-02-13 Robert B. Griffiths

The predictions of quantum theory resist generalised noncontextual explanations. In addition to the foundational relevance of this fact, the particular extent to which quantum theory violates noncontextuality limits available quantum…

Quantum Physics · Physics 2021-06-30 Anubhav Chaturvedi , Máté Farkas , Victoria J Wright

An interpretation and re-formulation of modern physics which removes the presumption of the space-time continuum, and bases physical theory on a small number of rational and empirical principles. After briefly describing the philosophical…

General Physics · Physics 2014-05-13 Charles Francis

Existing Semantic Desktops are still reproached for being too complicated to use or not scaling well. Besides, a real "killer app" is still missing. In this paper, we present a new prototype inspired by NEPOMUK and its successors having a…

Artificial Intelligence · Computer Science 2018-08-06 Christian Jilek , Markus Schröder , Sven Schwarz , Heiko Maus , Andreas Dengel

We introduce a hierarchical classification of theories that describe systems with fundamentally limited information content. This property is introduced in an operational way and gives rise to the existence of mutually complementary…

Quantum Physics · Physics 2010-05-27 Tomasz Paterek , Borivoje Dakic , Caslav Brukner

Formulations of quantum mechanics can be characterized as realistic, operationalist, or a combination of the two. In this paper a realistic theory is defined as describing a closed system entirely by means of entities and concepts…

Quantum Physics · Physics 2015-06-19 R Friedberg , P C Hohenberg

Compositional minimisation can be an effective technique to reduce the state space explosion problem. This technique considers a parallel composition of several processes. In its simplest form, each sequential process is replaced by an…

Logic in Computer Science · Computer Science 2020-12-14 Maurice Laveaux , Tim A. C. Willemse

Generalized contextuality is a hallmark of nonclassical theories like quantum mechanics. Yet, three fundamental computational problems concerning its decidability and complexity remain open. First, determining the complexity of deciding if…

Quantum Physics · Physics 2025-06-12 Theodoros Yianni , Farid Shahandeh

A type of mechanics will be presented that possesses some distinctive properties. On the one hand, its physical description & rules of operation are readily comprehensible & intuitively clear. On the other, it fully satisfies all observable…

Quantum Physics · Physics 2026-02-05 Eric Tesse

The new orthodoxy of quantum mechanics (QM) based on the decoherence approach requires many-worlds as an essential ingredient for logical consistency, and one may wonder what status to give to all these "other worlds". Here we advocate that…

Quantum Physics · Physics 2007-05-23 Philippe Grangier

We employ the resource theory of generalized contextuality as a tool for analyzing the structure of prepare-and-measure scenarios. We argue that this framework simplifies proofs of quantum contextuality in complex scenarios and strengthens…

Quantum Physics · Physics 2023-11-29 Rafael Wagner , Roberto D. Baldijão , Alisson Tezzin , Bárbara Amaral

In this essay I develop quantum contextuality as a potential candidate for Wheeler's universal regulating principle, arguing -- \textit{contrary} to Wheeler -- that this ultimately implies that `bit' comes from `it.' In the process I…

Quantum Physics · Physics 2018-05-24 Ian T. Durham

A realistic axiomatic formulation of nonrelativistic quantum mechanics for a single microsystem with spin is presented, from which the most important theorems of the theory can be deduced. In comparison with previous formulations, the…

Quantum Physics · Physics 2007-05-23 S. Perez Bergliaffa , G. Romero , H. Vucetich

A generalisation of quantum contextuality to the case of many indentical particles is presented. The model consists of a finite collection of modes that can be occupied by N particles, either bosons or fermions. Measurement scenarios allow…

Quantum Physics · Physics 2017-02-01 Pawel Kurzynski

We present a heuristic derivation of Born's rule and unitary transforms in Quantum Mechanics, from a simple set of axioms built upon a physical phenomenology of quantization. This approach naturally leads to the usual quantum formalism,…

Quantum Physics · Physics 2022-01-04 Alexia Auffeves , Philippe Grangier