Results 1 to 10 of about 1,671,987 (325)
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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The Problem of Differential Calculus on Quantum Groups
, 1996 The bicovariant differential calculi on quantum groups of Woronowicz have the drawback that their dimensions do not agree with that of the corresponding classical calculus.
G.W. Delius +5 more
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Geometry of Quantum Principal Bundles I
, 1995 A theory of principal bundles possessing quantum structure groups and classical base manifolds is presented. Structural analysis of such quantum principal bundles is performed.
M. Daniel +8 more
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Connecting quantum calculus and harmonic starlike functions
, 2020 Quantum calculus or q−calculus plays an important role in hypergeometric series, quantum physics, operator theory, approximation theory, sobolev spaces, geometric functions theory and others.
O. Ahuja, A. Çetinkaya
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Fundamentals of Right Hahn q-Symmetric Calculus and Related Inequalities
Journal of Function SpacesHahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite ...
Muhammad Nasim Aftab +2 more
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Quantum Behavior Arises Because Our Universe is a Fractal [PDF]
Reports in Advances of Physical Sciences, 2017 To explain the origin of quantum behavior, we propose a fractal calculus to describe the non-local property of the fractal curve [Y. Tao, J. Appl. Math. 2013 (2013) 308691]. This study demonstrates that if the dimension of time axis is slightly less than
Yong Tao
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Harmonic univalent functions defined by post quantum calculus operators [PDF]
Acta Universitatis Sapientiae: Mathematica, 2018 We study a family of harmonic univalent functions in the open unit disc defined by using post quantum calculus operators. We first obtained a coefficient characterization of these functions.
O. Ahuja, A. Çetinkaya, V. Ravichandran
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Spikes in quantum Regge calculus [PDF]
Classical and Quantum Gravity, 1997 We demonstrate by explicit calculation of the DeWitt-like measure in two-dimensional quantum Regge gravity that it is highly non-local and that the average values of link lengths $l, $, do not exist for sufficient high powers of $n$. Thus the concept of length has no natural definition in this formalism and a generic manifold degenerates into spikes ...
Ambjørn, Jan +3 more
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, 2005 Working with anticommuting Weyl(or Mayorana) spinors in the framework of the van der Waerden calculus is standard in supersymmetry. The natural frame for rigorous supersymmetric quantum field theory makes use of operator-valued superdistributions defined
FLORIN CONSTANTINESCU +5 more
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