Results 11 to 20 of about 1,671,987 (325)
The Hahn Quantum Variational Calculus [PDF]
Journal of Optimization Theory and Applications, 2010 We introduce the Hahn quantum variational calculus. Necessary and sufficient optimality conditions for the basic, isoperimetric, and Hahn quantum Lagrange problems, are studied.
A. B. Malinowska +48 more
core +7 more sources
Depicting qudit quantum mechanics and mutually unbiased qudit theories [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We generalize the ZX calculus to quantum systems of dimension higher than two. The resulting calculus is sound and universal for quantum mechanics. We define the notion of a mutually unbiased qudit theory and study two particular instances of these ...
André Ranchin
doaj +4 more sources
The Journal of King Mongkut's University of Technology North Bangkok, 2020 ความเจริญก้าวหน้าทางวิทยาศาสตร์และเทคโนโลย ี ในปัจจบุนั ล้วนแล้วแต่มคีณติศาสตร์อยู เ่บื อ้งหลงัทั ง้สิ น้ เหน็ได้ ชดัว่า หลังจากการค้นพบแคลคูลัสของเซอร์ ไอแซก นิวตัน (ค.ศ. 1643–1729) และกอทท์ฟรีด วิลเฮล์ม ไลบ์นิทซ์ (ค.ศ.
J. Tariboon
semanticscholar +3 more sources
A Dunkl type generalization of Szász operators via post-quantum calculus. [PDF]
J Inequal Appl, 2018 The object of this paper to construct Dunkl type Szász operators via post-quantum calculus. We obtain some approximation results for these new operators and compute convergence of the operators by using the modulus of continuity.
Alotaibi A, Nasiruzzaman M, Mursaleen M.
europepmc +2 more sources
Image Denoising Based on Quantum Calculus of Local Fractional Entropy
Symmetry, 2023 Images are frequently disrupted by noise of all kinds, making image restoration very challenging. There have been many different image denoising models proposed over the last few decades.
Ala’a R. Al-Shamasneh, R. Ibrahim
semanticscholar +3 more sources
Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
Open Mathematics, 2021 In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of ∣ D q 2 b f ∣ | {}^{b}D_{q}^{2}\hspace{0.08em}f| and ∣ D q 2 a f ∣ | {}_{a}D_{q}^{2}\hspace{0.08em}f| , we establish some quantum ...
M. Ali +3 more
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Multivalent Functions and Differential Operator Extended by the Quantum Calculus
Fractal and Fractional, 2022 We used the concept of quantum calculus (Jackson’s calculus) in a recent note to develop an extended class of multivalent functions on the open unit disk. Convexity and star-likeness properties are obtained by establishing conditions for this class.
S. Hadid, R. Ibrahim, S. Momani
semanticscholar +3 more sources
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
doaj +2 more sources
Pivoting makes the ZX-calculus complete for real stabilizers [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We show that pivoting property of graph states cannot be derived from the axioms of the ZX-calculus, and that pivoting does not imply local complementation of graph states.
Ross Duncan, Simon Perdrix
doaj +6 more sources
A ZX-Calculus with Triangles for Toffoli-Hadamard, Clifford+T, and Beyond [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We consider a ZX-calculus augmented with triangle nodes which is well-suited to reason on the so-called Toffoli-Hadamard fragment of quantum mechanics. We precisely show the form of the matrices it represents, and we provide an axiomatisation which makes
Renaud Vilmart
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