Results 21 to 30 of about 1,671,987 (325)
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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Massera’s theorem in quantum calculus
Proceedings of the American Mathematical Society, 2018 In this work, we present versions of Massera's theorem for linear and nonlinear q-di erence equations and present some examples to illustrate our result. This is a joint work with Martin Bohner. References [1] M. Bohner, J. G. Mesquita, Massera's theorem
M. Bohner, J. Mesquita
semanticscholar +3 more sources
Quantum stochastic calculus and quantum nonlinear filtering
Journal of Multivariate Analysis, 1992 A *-algebraic indefinite structure of quantum stochastic (QS) calculus is introduced and a continuity property of generalized nonadapted QS integrals is proved under the natural integrability conditions in an infinitely dimensional nuclear space. The class of nondemolition output QS processes in quantum open systems is characterized in terms of the QS ...
openaire +5 more sources
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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Studying the Harmonic Functions Associated with Quantum Calculus
Mathematics, 2023 Using the derivative operators’ q-analogs values, a wide variety of holomorphic function subclasses, q-starlike, and q-convex functions have been researched and examined.
A. Alsoboh +3 more
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Qutrit Dichromatic Calculus and Its Universality [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We introduce a dichromatic calculus (RG) for qutrit systems. We show that the decomposition of the qutrit Hadamard gate is non-unique and not derivable from the dichromatic calculus.
Quanlong Wang, Xiaoning Bian
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Covariantization of quantized calculi over quantum groups [PDF]
Mathematica Bohemica, 2020 We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $da=[D,a]$, $a\in A$, where $D$ is a candidate for a Dirac operator for $A$.
Seyed Ebrahim Akrami, Shervin Farzi
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Quantum Control in the Unitary Sphere: Lambda-S1 and its Categorical Model [PDF]
Logical Methods in Computer Science, 2022 In a recent paper, a realizability technique has been used to give a semantics of a quantum lambda calculus. Such a technique gives rise to an infinite number of valid typing rules, without giving preference to any subset of those.
Alejandro Díaz-Caro, Octavio Malherbe
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On New Estimates of q-Hermite-Hadamard Inequalities with Applications in Quantum Calculus
Axioms, 2023 In this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q-trapezoidal estimates for the newly established q-Hermite-Hadamard ...
Saowaluck Chasreechai +6 more
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