Results 21 to 30 of about 85,887 (322)
Quantum Stochastic Calculus and Quantum Gaussian Processes [PDF]
Indian Journal of Pure and Applied Mathematics, 2014 In this lecture we present a brief outline of boson Fock space stochastic calculus based on the creation, conservation and annihilation operators of free field theory, as given in the 1984 paper of Hudson and Parthasarathy.
Parthasarathy, K. R.
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Hahn's Symmetric Quantum Variational Calculus [PDF]
Numerical Algebra, Control & Optimization, 2012 We introduce and develop the Hahn symmetric quantum calculus with applications to the calculus of variations. Namely, we obtain a necessary optimality condition of Euler-Lagrange type and a sufficient optimality condition for variational problems within ...
A. B. Malinowska +28 more
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Quantum Integrability and Generalised Quantum Schubert Calculus [PDF]
Advances in Mathematics, 2017 We introduce and study a new mathematical structure in the generalised (quantum) cohomology theory for Grassmannians. Namely, we relate the Schubert calculus to a quantum integrable system known in the physics literature as the asymmetric six-vertex ...
Gorbounov, Vassily, Korff, Christian
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Almost periodic functions in quantum calculus
Electronic Journal of Differential Equations, 2018 In this article, we introduce the concepts of Bochner and Bohr almost periodic functions in quantum calculus and show that both concepts are equivalent.
Martin Bohner, Jaqueline G. Mesquita
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Quantum and braided ZX calculus* [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 Abstract We apply quantum group methods to quantum computing, starting with the notion of interacting Frobenius Hopf algebras for ZX calculus with noncommutative algebra and noncocommutative coalgebra. We introduce the notion of *-structures in ZX calculus at this algebraic level and construct examples based on the quantum group u
Shahn Majid
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Equivariant Quantum Schubert Calculus [PDF]
Advances in Mathematics, 2004 We study the T-equivariant quantum cohomology of the Grassmannian. We prove the vanishing of a certain class of equivariant quantum Littlewood-Richardson coefficients, which implies an equivariant quantum Pieri rule. As in the equivariant case, this implies an algorithm to compute the equivariant quantum Littlewood-Richardson coefficients.
Leonardo C. Mihalcea
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A Note on the Relativistic Transformation Properties of Quantum Stochastic Calculus. [PDF]
Entropy (Basel)Gough JE.
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Generalized Ostrowski-Gruss Like Inequality on Time Scales [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus.
Faraz Mehmood +2 more
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Application of Quantum Process Calculus to Higher Dimensional Quantum Protocols [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We describe the use of quantum process calculus to describe and analyze quantum communication protocols, following the successful field of formal methods from classical computer science.
Simon J. Gay, Ittoop Vergheese Puthoor
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Novel higher order iterative schemes based on the q−Calculus for solving nonlinear equations
AIMS Mathematics, 2022 The conventional infinitesimal calculus that concentrates on the idea of navigating the q−symmetrical outcomes free from the limits is known as Quantum calculus (or q−calculus). It focuses on the logical rationalization of differentiation and integration
Gul Sana +2 more
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