Results 41 to 50 of about 81,951 (325)
AKLT-States as ZX-Diagrams: Diagrammatic Reasoning for Quantum States
PRX Quantum, 2022 From Feynman diagrams to tensor networks, diagrammatic representations of computations in quantum mechanics have catalyzed progress in physics. These diagrams represent the underlying mathematical operations and aid physical interpretation, but cannot ...
Richard D.P. East +3 more
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A PROPOSAL FOR A DIFFERENTIAL CALCULUS IN QUANTUM MECHANICS [PDF]
International Journal of Modern Physics A, 1994 In this paper, using, the Weyl-Wigner-Moyal formalism for quantum mechanics, we develop a quantum-deformed exterior calculus on the phase space of an arbitrary Hamiltonian system. Introducing additional bosonic and fermionic coordinates, we construct a supermanifold which is closely related to the tangent and cotangent bundle over phase space.
GOZZI, ENNIO, REUTER M.
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The Bessel equation on the quantum calculus
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2022 A large number of the most diverse problems related to almost all the most important branches of mathematical physics and designed to answer topical technical questions are associated with the use of Bessel functions. This paper introduces a h-difference equation analogue of the Bessel differential equation and investigates the properties of its ...
S. Shaimardan +2 more
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On Quantum Statistical Mechanics: A Study Guide
Advances in Mathematical Physics, 2017 We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum
Wladyslaw Adam Majewski
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Al-Jabar, 2016 This study was conducted to improve the mastery of student concepts on calculus materials using Quantum Learning method, this research is motivated because the learning of calculus has not seen any mastery of concept implemented during learning ...
Satrio Wicaksono Sudarman, Ira Vahlia
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The Falling Body Problem in Quantum Calculus
Frontiers in Physics, 2020 The quantum calculus, q-calculus, is a relatively new branch in which the derivative of a real function can be calculated without limits. In this paper, the falling body problem in a resisting medium is revisited in view of the q-calculus to the first ...
Abdulaziz M. Alanazi +3 more
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The ZX-calculus is complete for stabilizer quantum mechanics
New Journal of Physics, 2014 The ZX-calculus is a graphical calculus for reasoning about quantum systems and processes. It is known to be universal for pure state qubit quantum mechanics (QM), meaning any pure state, unitary operation and post-selected pure projective measurement ...
Miriam Backens
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Advances in Mathematics, 1997 20 pages (LaTeX). To appear in Advances in Mathematics. The quantum Pieri formula in the original version has been corrected (see also alg-geom/9705024), and the Title has been ``quantized''
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Differentiating and Integrating ZX Diagrams with Applications to Quantum Machine Learning [PDF]
QuantumZX-calculus has proved to be a useful tool for quantum technology with a wide range of successful applications. Most of these applications are of an algebraic nature.
Quanlong Wang, Richie Yeung, Mark Koch
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A Stochastic Fractional Calculus with Applications to Variational Principles
Fractal and Fractional, 2020 We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations to stochastic processes.
Houssine Zine, Delfim F. M. Torres
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