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To address Quantum Artificial Neural Networks as quantum dynamical computing systems, a formalization of quantum artificial neural networks as dynamical systems is developed, expanding the concept of unitary map to the neural computation…

量子物理 · 物理学 2022-03-22 Carlos Pedro Gonçalves

Quantum computer is the key to controlling complex processes. If its hardware, in general is successfully created on the basis of the physical baggage of the 20th century, the mathematical software is fundamentally lagging behind. Feynman's…

综合物理 · 物理学 2020-06-03 Y. I. Ozhigov

The complexity of quantum computation remains poorly understood. While physicists attempt to find ways to create quantum computers, we still do not have much evidence one way or the other as to how useful these machines will be. The tools…

量子物理 · 物理学 2007-05-23 Lance Fortnow

Quantum measurement is universal for quantum computation. This universality allows alternative schemes to the traditional three-step organisation of quantum computation: initial state preparation, unitary transformation, measurement. In…

量子物理 · 物理学 2016-09-08 Simon Perdrix , Philippe Jorrand

In loop quantum cosmology, Friedmann-LeMaitre-Robertson-Walker (FLRW) space-times arise as well-defined approximations to specific \emph{quantum} geometries. We initiate the development of a quantum theory of test scalar fields on these…

广义相对论与量子宇宙学 · 物理学 2009-11-06 Abhay Ashtekar , Wojciech Kaminski , Jerzy Lewandowski

We argue that the conventional quantum field theory in curved spacetime has a grave drawback: The canonical commutation relations for quantum fields and conjugate momenta do not hold. Thus the conventional theory should be denounced and the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Vladimir S. Mashkevich

Quantum field theory in curved space-times is a well developed area in mathematical physics which has had important phenomenological applications to the very early universe. However, it is not commonly appreciated that on time dependent…

广义相对论与量子宇宙学 · 物理学 2015-07-27 Ivan Agullo , Abhay Ashtekar

Complexity theory as practiced by physicists and computational complexity theory as practiced by computer scientists both characterize how difficult it is to solve complex problems. Here it is shown that the parameters of a specific model…

无序系统与神经网络 · 物理学 2013-05-29 S. N. Coppersmith

A flagship application of quantum computers is the simulation of other quantum systems, including quantum field theories. In this article, we show how quantum computers can be employed to naturally calculate Feynman diagrams and their…

高能物理 - 唯象学 · 物理学 2025-07-11 Herschel A. Chawdhry , Mathieu Pellen , Simon Williams

Nuclear physics, whose underling theory is described by quantum gauge field coupled with matter, is fundamentally important and yet is formidably challenge for simulation with classical computers. Quantum computing provides a perhaps…

量子物理 · 物理学 2021-02-08 Dan-Bo Zhang , Hongxi Xing , Hui Yan , Enke Wang , Shi-Liang Zhu

The operation of a quantum computer is considered as a general quantum operation on a mixed state on many qubits followed by a measurement. The general quantum operation is further represented as a Feynman-Vernon double path integral over…

量子物理 · 物理学 2018-04-04 Erik Aurell

Quantum field theory unifies concepts from quantum theory and from special relativity. Its mathematically rigorous description is quite intricate and is only partially understood; this is particularly true for the construction of operators…

数学物理 · 物理学 2015-05-04 Henning Bostelmann

Quantum measurement is universal for quantum computation. This universality allows alternative schemes to the traditional three-step organisation of quantum computation: initial state preparation, unitary transformation, measurement. In…

量子物理 · 物理学 2007-05-23 Simon Perdrix , Philippe Jorrand

Quantum computation with quantum data that can traverse closed timelike curves represents a new physical model of computation. We argue that a model of quantum computation in the presence of closed timelike curves can be formulated which…

量子物理 · 物理学 2008-11-26 Dave Bacon

After reviewing recently suggested operational "principles of the quantumness", I address the problem on whether Quantum Theory (QT) and Special Relativity (SR) are unrelated theories, or instead, if the one implies the other. I show how SR…

量子物理 · 物理学 2010-02-09 Giacomo Mauro D'Ariano

We show how quantum mechanics can be understood as a space-time theory provided that its spatial continuum is modelled by a variable real number (qrumber) continuum. Such a continuum can be constructed using only standard Hilbert space…

量子物理 · 物理学 2007-05-23 J. Corbett , T. Durt

What resources are universal for quantum computation? In the standard model, a quantum computer consists of a sequence of unitary gates acting coherently on the qubits making up the computer. This paper shows that a very different model…

量子物理 · 物理学 2009-11-07 Michael A. Nielsen

Quantum computing is a new model of computation, based on quantum physics. Quantum computers can be exponentially faster than conventional computers for problems such as factoring. Besides full-scale quantum computers, more restricted…

形式语言与自动机理论 · 计算机科学 2018-07-05 Andris Ambainis , Abuzer Yakaryılmaz

Quantum computation offers a promising new kind of information processing, where the non-classical features of quantum mechanics can be harnessed and exploited. A number of models of quantum computation exist, including the now well-studied…

量子物理 · 物理学 2011-08-03 H. J. Briegel , D. E. Browne , W. Dür , R. Raussendorf , M. Van den Nest

Quantum computing has been increasingly applied in nuclear physics. In this work, we combine quantum computing with the complex scaling method to address the resonance problem. Due to the non-Hermiticity introduced by complex scaling,…

核理论 · 物理学 2024-09-11 Hantao Zhang , Dong Bai , Zhongzhou Ren