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In this paper we present 'Quantum Model Theory' (QMod), a theory we developed to model entities that entail the typical quantum effects of 'contextuality', 'superposition', 'interference', 'entanglement' and 'emergence'. The aim of QMod is…

Mathematical Physics · Physics 2013-01-08 Diederik Aerts , Sandro Sozzo

Thermodynamics plays an important role both in the foundations of physics and in technological applications. An operational perspective adopted in recent years is to formulate it as a quantum resource theory. At the core of this theory is…

Quantum Physics · Physics 2023-12-13 Thomas Theurer , Elia Zanoni , Carlo Maria Scandolo , Gilad Gour

With the advent of device independent quantum information processing, nonlocality is nowadays regarded as a resource to implement various tasks. On the analogy of entanglement theory we approach nonlocality from this perspective. In order…

Quantum Physics · Physics 2014-10-10 Julio I. de Vicente

Modal logics are widely used in multi-agent systems to reason about actions, abilities, norms, or epistemic states. Combined with description logic languages, they are also a powerful tool to formalise modal aspects of ontology-based…

Logic in Computer Science · Computer Science 2023-07-25 Tiziano Dalmonte , Andrea Mazzullo , Ana Ozaki , Nicolas Troquard

Relation-changing modal logics are extensions of the basic modal logic that allow changes to the accessibility relation of a model during the evaluation of a formula. In particular, they are equipped with dynamic modalities that are able to…

Logic in Computer Science · Computer Science 2016-09-15 Carlos Areces , Raul Fervari , Guillaume Hoffmann , Mauricio Martel

An approach is presented treating decision theory as a probabilistic theory based on quantum techniques. Accurate definitions are given and thorough analysis is accomplished for the quantum probabilities describing the choice between…

Artificial Intelligence · Computer Science 2022-06-06 V. I. Yukalov

Studying the extent to which realism is compatible with quantum mechanics teaches us something about the quantum mechanical universe, regardless of the validity of such realistic assumptions. It has also recently been appreciated that these…

Quantum Physics · Physics 2007-09-28 Nicholas Harrigan , Terry Rudolph

The implications of the physical theory of quantum mechanics on the question of realism is much a subject of sustaining interest, while the background questions among physicists on how to think about all the theoretical notion and…

Quantum Physics · Physics 2022-02-23 Otto C. W. Kong

Resource identification and quantification is an essential element of both classical and quantum information theory. Entanglement is one of these resources, arising when quantum communication and nonlocal operations are expensive to…

Quantum Physics · Physics 2013-03-20 Sebastian Meznaric

We expect a theory of Quantum Gravity to be both probabilistic and have indefinite causal structure. Indefinite causal structure poses particular problems for theory formulation since many of the core ideas used in the usual approaches to…

General Relativity and Quantum Cosmology · Physics 2008-04-02 Lucien Hardy

Quantum resource theory under different classes of quantum operations advances multiperspective understandings of inherent quantum-mechanical properties, such as quantum coherence and quantum entanglement. We establish hierarchies of…

Quantum Physics · Physics 2021-06-30 Hayata Yamasaki , Madhav Krishnan Vijayan , Min-Hsiu Hsieh

Quantum resource theories provide a diverse and powerful framework for extensively studying the phenomena in quantum physics. Quantum coherence, a quantum resource, is the basic ingredient in many quantum information tasks. It is a subject…

Quantum Physics · Physics 2021-05-19 Sunho Kim , Chunhe Xiong , Asutosh Kumar , Junde Wu

Tensor networks provide succinct representations of quantum many-body states and are an important computational tool for strongly correlated quantum systems. Their expressive and computational power is characterized by an underlying…

Every restriction on quantum operations defines a resource theory, determining how quantum states that cannot be prepared under the restriction may be manipulated and used to circumvent the restriction. A superselection rule is a…

Quantum Physics · Physics 2009-11-13 Gilad Gour , Robert W. Spekkens

We initiate the systematic study of resource theories of quantum channels, i.e. of the dynamics that quantum systems undergo by completely positive maps, in abstracto: Resources are in principle all maps from one quantum system to another,…

Quantum Physics · Physics 2019-04-09 Zi-Wen Liu , Andreas Winter

We investigate the applicability of the formalism of quantum mechanics to everyday life. It seems to be directly relevant for situations in which the very act of coming to a conclusion or decision on one issue affects one's confidence about…

Artificial Intelligence · Computer Science 2018-11-13 Steven Gratton

The mathematical formalism of quantum theory has been successfully used in human cognition to model decision processes and to deliver representations of human knowledge. As such, quantum cognition inspired tools have improved technologies…

Computation and Language · Computer Science 2015-12-31 Diederik Aerts , Jan Broekaert , Sandro Sozzo , Tomas Veloz

In this letter I stress the role of causal reversibility (time-symmetry), together with causality and locality, in the justification of the quantum formalism. Firstly, in the algebraic quantum formalism, I show that the assumption of…

Quantum Physics · Physics 2011-10-27 Francois David

This paper surveys some recent developments towards a dynamic quantum logic and outlines its explicite construction -- some analogies and contrasts with other logics of dynamics are indicated. Abstract: The development of ``(static)…

Logic · Mathematics 2007-05-23 Bob Coecke , David J. Moore , Sonja Smets

Modal logic is a paradigm for several useful and applicable formal systems in computer science. It generally retains the low complexity of classical propositional logic, but notable exceptions exist in the domains of description, temporal,…

Logic in Computer Science · Computer Science 2016-09-15 Davide Bresolin , Emilio Muñoz-Velasco , Guido Sciavicco