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Many quantization schemes rely on analogs of classical mechanics where the connections with classical mechanics are indirect. In this work I propose a new and direct connection between classical mechanics and quantum mechanics where the…

Quantum Physics · Physics 2007-05-23 John Hegseth

Norbert Wiener and J.B.S. Haldane suggested during the early thirties that the profound changes in our conception of matter entailed by quantum theory opens the way for our thoughts, and other experiential or mind-like qualities, to play a…

Quantum Physics · Physics 2007-05-23 Henry P. Stapp

Resource theories play an important role in quantum information theory, as they identify resourceful states and channels that are potentially useful for the accomplishment of tasks that would be otherwise unreachable. The elementary…

Quantum Physics · Physics 2020-09-02 A. C. S. Costa , R. M. Angelo

Since its inception, many physicists have seen in quantum mechanics the possibility, if not the necessity, of bringing cognitive aspects into the play, which were instead absent, or unnoticed, in the previous classical theories. In this…

Quantum Physics · Physics 2019-04-16 Diederik Aerts , Massimiliano Sassoli de Bianchi , Sandro Sozzo , Tomas Veloz

Rapid ongoing progress in quantum information science makes this an apt time for a Solvay Conference focused on The Physics of Quantum Information. Here I review four intertwined themes encompassed by this topic: Quantum computer science,…

Quantum Physics · Physics 2022-08-18 John Preskill

Quantum mechanics dramatically differs from classical physics, allowing for a wide range of genuinely quantum phenomena. The goal of quantum information is to understand information processing from a quantum perspective. In this mindset, it…

Quantum Physics · Physics 2012-05-15 Antonio Acín , Mafalda L. Almeida , Remigiusz Augusiak , Nicolas Brunner

Without invalidating quantum mechanics as a principle underlying the dynamics of a fundamental theory, it is possible to ask for even more basic dynamical laws that may yield quantum mechanics as the machinery needed for its statistical…

High Energy Physics - Theory · Physics 2007-05-23 Gerard 't Hooft

Is quantum mechanics about 'states'? Or is it basically another kind of probability theory? It is argued that the elementary formalism of quantum mechanics operates as a well-justified alternative to 'classical' instantiations of a…

Quantum Physics · Physics 2014-10-28 Jean-Michel Delhotel

A projective quantum logic in terms of relative states is developed, emphasizing the importance of information transfer between a system under study and its environment. The need for accounting for the historical evolution of system is…

Quantum Physics · Physics 2026-05-13 Martin Paul Vaughan

The main contribution of this paper is the introduction of a dynamic logic formalism for reasoning about information flow in composite quantum systems. This builds on our previous work on a complete quantum dynamic logic for single systems.…

Quantum Physics · Physics 2021-10-05 Alexandru Baltag , Sonja Smets

The (meta)logic underlying classical theory of computation is Boolean (two-valued) logic. Quantum logic was proposed by Birkhoff and von Neumann as a logic of quantum mechanics more than sixty years ago. The major difference between Boolean…

Logic in Computer Science · Computer Science 2013-04-02 Mingsheng Ying

The advent of quantum computing has challenged classical conceptions of which problems are efficiently solvable in our physical world. This motivates the general study of how physical principles bound computational power. In this paper we…

Quantum Physics · Physics 2018-07-05 Ciarán M. Lee , John H. Selby

An objective definition of pragmatic information and the consideration of recent results about information processing in the human brain can help overcome some traditional difficulties with the interpretation of quantum mechanics. Rather…

History and Philosophy of Physics · Physics 2016-04-08 Juan G. Roederer

In this article we present milestone developments in the theory and applications of quantum information from historical perspectives. The domain of quantum information is very promising to develop quantum computer, quantum communication and…

History and Philosophy of Physics · Physics 2020-09-23 Kapil K. Sharma , Vladimir P. Gerdt , Pyotr V. Gerdt

The representation of measurements by positive operator valued measures and the description of the most general state transformations by means of completely positive maps are two basic concepts of quantum information theory. These concepts…

Quantum Physics · Physics 2007-05-23 Daniel R. Terno

The engine that powers quantum cryptography is the principle that there are no physical means for gathering information about the identity of a quantum system's state (when it is known to be prepared in one of a set of nonorthogonal states)…

Quantum Physics · Physics 2016-09-08 Christopher A. Fuchs

We discuss some seemingly paradoxical yet valid effects of quantum physics in information processing. Firstly, we argue that the act of ``doing nothing'' on part of an entangled quantum system is a highly non-trivial operation and that it…

Quantum Physics · Physics 2007-05-23 Richard Jozsa

Pothos & Busemeyer's (P&B's) query about whether quantum probability can provide a foundation for the cognitive modeling embodies so many underlying implications that the subject is far from exhausted. In this brief commentary, however, I…

Neurons and Cognition · Quantitative Biology 2016-09-05 Alexandre de Castro

Quantum experiments yield random data. We show that the most efficient way to store this empirical information by a finite number of bits is by means of the vector of square roots of observed relative frequencies. This vector has the unique…

Quantum Physics · Physics 2007-05-23 Johann Summhammer

The role of quantum information is discussed in the framework of Quantum Concept of Consciousness (QCC), based on the many-worlds interpretation of quantum mechanics (Everett interpretation). Within QCC the phenomenon of super-intuition is…

General Physics · Physics 2014-09-18 Michael B. Mensky