M. Karoubi and C. Leruste, Algebraic topology via differential geometry (London Mathematical Society Lecture Note Series 99, Cambridge University Press1987) 363 pp. 0 521 31714 2, £15.(Originally published in French as Méthodes de géométrie différentielle en topologie algébrique, Paris 1982.) [PDF]
, 1989 J. W. Bruce
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Open and Closed Loop Approaches for Energy Efficient Quantum Optimal Control
Advanced Quantum Technologies, EarlyView.Concepts from quantum thermodynamics and optimal control are blended to derive a theoretical framework to quantify and minimize the energetic cost of a pulse for unitary synthesis. Two complementary techniques (based on GRAPE and Reinforce‐DRL) are implemented as open‐source software that co‐optimizes the fidelity and energetic cost within quantum ...
Sebastiaan Fauquenot +2 more
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Emergence of Calabi-Yau manifolds in high-precision black-hole scattering. [PDF]
NatureDriesse M +7 more
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Quantum Circuit Design using a Progressive Widening Enhanced Monte Carlo Tree Search
Advanced Quantum Technologies, EarlyView.This article proposes the Progressive Widening enhanced Monte Carlo Tree Search (PWMCTS) to design parameterized quantum circuits. It improves the efficiency of the previous MCTS‐based techniques in terms of number of quantum circuit evaluation, number of gates and CNOT count.
Vincenzo Lipardi +3 more
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Lorentzian bordisms in algebraic quantum field theory. [PDF]
Lett Math PhysBunk S, MacManus J, Schenkel A.
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT We review some known bounds on the eigenvalues of a matrix and use similar techniques to derive bounds for the class of nonlinear eigenproblems and, as a special case, the eigenvalues for LTI systems with delays. We present two classes of results.
Erik I. Verriest
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Exploring Limit Cycles of Differential Equations through Information Geometry Unveils the Solution to Hilbert's 16th Problem. [PDF]
Entropy (Basel)da Silva VB, Vieira JP, Leonel ED.
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Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
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Algebraic method for multisensor data fusion. [PDF]
PLoS OneChen X, Chen C, Lu X.
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Algebraic geometry of the center-focus problem for Abel differential equations [PDF]
, 2014 M. Briskin, Fedor Pakovich, Yosef Yomdin
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