[图书][B] Quantum Computing in the Arts and Humanities

ER Miranda - 2022 - Springer
Publications reporting research into quantum information processing started to emerge
around the middle of the 1970s; eg Holevo (1973), Poplavskii (1975) and Ingarden (1976) …

The Riemann hypothesis and dynamics of Backtracking New Q-Newton's method

TQ Tran, TT Truong - arXiv preprint arXiv:2405.05834, 2024 - arxiv.org
A new variant of Newton's method-named Backtracking New Q-Newton's method (BNQN)-
was recently introduced by the second author. This method has good convergence …

Insights into complex functions

WP Schleich, I Tkáčová, L Happ - Sketches of Physics: The Celebration …, 2023 - Springer
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Basins of Equilibria and geometry of Global Sectors in Holomorphic Flows

N Kainz, D Lebiedz - arXiv preprint arXiv:2410.04895, 2024 - arxiv.org
In this follow-up paper to [Local geometry of Equilibria and a Poincare-Bendixson-type
Theorem for Holomorphic Flows, Nicolas Kainz, Dirk Lebiedz (2024)] we investigate the …

Laser entropy: From lasers and masers to Bose condensates and black holes

MO Scully - Physica Scripta, 2019 - iopscience.iop.org
The entropy of an ordinary (photon) laser and an atom laser (Bose condensate) is
calculated. In particular, the nonzero entropy of a single mode laser or maser operating near …

On analytical and topological properties of separatrices in 1-d holomorphic dynamical systems and complex-time newton flows

M Heitel, D Lebiedz - arXiv preprint arXiv:1911.10963, 2019 - arxiv.org
Separatrices divide the phase space of some holomorphic dynamical systems into separate
basins of attraction or'stability regions' for distinct fixed points.'Bundling'(high density) and …

Light, the universe and everything–12 Herculean tasks for quantum cowboys and black diamond skiers

G Agarwal, RE Allen, I Bezděková, RW Boyd… - Journal of Modern …, 2018 - Taylor & Francis
Abstract The Winter Colloquium on the Physics of Quantum Electronics (PQE) has been a
seminal force in quantum optics and related areas since 1971. It is rather mind-boggling to …

Sensitivities in complex-time flows: phase transitions, Hamiltonian structure and differential geometry

D Lebiedz, J Poppe - arXiv preprint arXiv:2410.06018, 2024 - arxiv.org
Reminiscent of physical phase transitions separatrices divide the phase space of dynamical
systems with multiple equilibria into regions of distinct flow behavior and asymptotics. We …

[HTML][HTML] Linear operators, the Hurwitz zeta function and Dirichlet L-functions

BB Prado, K Klinger-Logan - Journal of Number Theory, 2020 - Elsevier
Abstract At the 1900 International Congress of Mathematicians, Hilbert claimed that the
Riemann zeta function is not the solution of any algebraic ordinary differential equation its …

[PDF][PDF] Planar Analytic Dynamical Systems and their phase space structure

N Kainz, D Lebiedz - 2023 - uni-ulm.de
The qualitative description of the phase space of a differential equation has been an
important area of research in mathematics. In particular, the theory of Poincare and …