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The term quantum neural computing indicates a unity in the functioning of the brain. It assumes that the neural structures perform classical processing and that the virtual particles associated with the dynamical states of the structures…

Neural and Evolutionary Computing · Computer Science 2013-03-15 Subhash Kak

Traditional cognitive science rests on a foundation of classical logic and probability theory. This foundation has been seriously challenged by several findings in experimental psychology on human decision making. Meanwhile, the formalism…

Artificial Intelligence · Computer Science 2015-12-31 Diederik Aerts , Sandro Sozzo , Tomas Veloz

The purpose of this paper is to show how a class of classical linear stochastic systems can be physically implemented using quantum optical components. Quantum optical systems typically have much higher bandwidth than electronic devices,…

Quantum Physics · Physics 2013-07-24 Shi Wang , H. I. Nurdin , Guofeng Zhang , Matthew R. James

It is suggested that a quantum neural network (QNN), a type of artificial neural network, can be built using the principles of quantum information processing. The input and output qubits in the QNN can be implemented by optical modes with…

Quantum Physics · Physics 2007-05-23 M. V. Altaisky

The term quantum logic has different connotations for different people, having been considered as everything from a metaphysical attack on classical reasoning to an exercise in abstract algebra. Our aim here is to give a uniform…

Quantum Physics · Physics 2007-05-23 Bob Coecke , David Moore , Alexander Wilce

It is argued that the traditional "realist" methodology of physics, according to which human concepts, laws and theories can grasp the essence of reality, is incompatible with the most fruitful interpretation of quantum formalism. The proof…

Quantum Physics · Physics 2011-07-19 M. Ferrero , D. Salgado , J. L. Sanchez-Gomez

Disputes on the foundations of Quantum Mechanics often involve the conception of reality, without a clear definition on which aspect of this broad concept of reality one refers. We provide an overview of conceptions of reality in classical…

Quantum Physics · Physics 2017-08-08 Gerd Christian Krizek

For complex life to evolve, a sophisticated nervous system for handling its complexities was fundamental. The demand resulted in the emergence of brain's computational facility, the neuronal network. This facet of the brain is attested…

Neurons and Cognition · Quantitative Biology 2019-09-16 Jahan N. Schad

In this work, we present a logical formalism for reasoning about quantum systems in finite dimension. Contrary to the usual approach in quantum logic, our formalism is based classical first-order logic, which allows us to use the tools of…

Quantum Physics · Physics 2026-02-19 Olivier Brunet

The multiple-valued quantum logic is formulated systematically such that the truth values are represented naturally as unique roots of unity placed on the unit circle. Consequently, multi-valued quantum neuron (MVQN) is based on the…

Quantum Physics · Physics 2024-02-08 M. W. AlMasri

It is shown that a good estimate of the fidelity of an experimentally realized quantum process can be obtained by measuring the outputs for only two complementary sets of input states. The number of measurements required to test a quantum…

Quantum Physics · Physics 2009-11-10 Holger F. Hofmann

Quantum simulators are devices that actively use quantum effects to answer questions about model systems and, through them, real systems. Here we expand on this definition by answering several fundamental questions about the nature and use…

Quantum Physics · Physics 2014-07-28 T. H. Johnson , S. R. Clark , D. Jaksch

The purpose of this paper is to study the realization theory of quantum linear systems. It is shown that for a general quantum linear system its controllability and observability are equivalent and they can be checked by means of a simple…

Quantum Physics · Physics 2014-10-31 John E. Gough , Guofeng Zhang

The paper presents partial-realization theory and realization algorithms for linear switched systems. Linear switched systems are a particular subclass of hybrid systems. We formulate a notion of a partial realization and we present…

Optimization and Control · Mathematics 2010-10-26 Mihaly Petreczky , Jan H. van Schuppen

We argue about a conceptual approach to quantum formalism. Starting from philosophical conjectures (Platonism, Idealism and Realism) as basic ontic elements (namely: math world, data world, and state of matter), we will analyze the quantum…

Quantum Physics · Physics 2007-05-23 Helen Lynn , Michele Caponigro

In this paper, the physical realizability property is investigated for a class of nonlinear quantum systems. This property determines whether a given set of nonlinear quantum stochastic differential equations corresponds to a physical…

Optimization and Control · Mathematics 2012-07-24 Aline I. Maalouf , Ian R. Petersen

Quantum theory (QT) has been confirmed by numerous experiments, yet we still cannot fully grasp the meaning of the theory. As a consequence, the quantum world appears to us paradoxical. Here we shed new light on QT by being based on two…

Quantum Physics · Physics 2019-05-21 Alessio Benavoli , Alessandro Facchini , Marco Zaffalon

Artificial neural network, consisting of many neurons in different layers, is an important method to simulate humain brain. Usually, one neuron has two operations: one is linear, the other is nonlinear. The linear operation is inner product…

Quantum Physics · Physics 2019-07-31 Jian Zhao , Yuan-Hang Zhang , Chang-Peng Shao , Yu-Chun Wu , Guang-Can Guo , Guo-Ping Guo

Experiments in cognitive science and decision theory show that the ways in which people combine concepts and make decisions cannot be described by classical logic and probability theory. This has serious implications for applied disciplines…

Artificial Intelligence · Computer Science 2013-01-08 Diederik Aerts , Liane Gabora , Sandro Sozzo , Tomas Veloz

An universal quantum network which can implement a general quantum computing is proposed. In this sense, it can be called the quantum central processing unit (QCPU). For a given quantum computing, its realization of QCPU is just its quantum…

Quantum Physics · Physics 2009-10-31 An Min Wang
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