Results 31 to 40 of about 3,581,525 (255)
From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz [PDF]
Algorithms, 2017 The next few years will be exciting as prototype universal quantum processors emerge, enabling the implementation of a wider variety of algorithms. Of particular interest are quantum heuristics, which require experimentation on quantum hardware for their
Stuart Hadfield +5 more
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Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control [PDF]
at - Automatisierungstechnik, 2016 This paper presents a class of linear predictors for nonlinear controlled dynamical systems. The basic idea is to lift (or embed) the nonlinear dynamics into a higher dimensional space where its evolution is approximately linear.
Milan Korda, I. Mezić
semanticscholar +1 more source
Fourier transforms of Gibbs measures for the Gauss map [PDF]
, 2015 We investigate under which conditions a given invariant measure $\mu$ for the dynamical system defined by the Gauss map $x \mapsto 1/x \mod 1$ is a Rajchman measure with polynomially decaying Fourier transform $$|\widehat{\mu}(\xi)| = O(|\xi|^{-\eta ...
Jordan, Thomas, Sahlsten, Tuomas
core +4 more sources
Heat kernel and number theory on NC-torus [PDF]
, 2006 The heat trace asymptotics on the noncommutative torus, where generalized Laplacians are made out of left and right regular representations, is fully determined.
A. Chamseddine +41 more
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The Approximate Divergence Operator [PDF]
Proceedings of the American Mathematical Society, 1969 1. We shall operate in Euclidean k-space, k_2, and shall denote by B(x, r) the k-ball with center x and radius r. Similarly, by S(x, r) we shall denote the (k 1)-sphere with center x and radius r. If v(x)= [v1(x), * * *, Vk(x)] is a Lebesgue measurable vector field defined almost everywhere in B(xo, ro) (that is each component is defined almost ...
openaire +1 more source
, 2018 We initiate a study of structural properties of the quotient algebra $\mathcal K(X)/\mathcal A(X)$ of the compact-by-approximable operators on Banach spaces $X$ failing the approximation property.
Tylli, Hans-Olav, Wirzenius, Henrik
core +1 more source
Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator. [PDF]
Chaos, 2017 Numerical approximation methods for the Koopman operator have advanced considerably in the last few years. In particular, data-driven approaches such as dynamic mode decomposition (DMD)51 and its generalization, the extended-DMD (EDMD), are becoming ...
Qianxao Li +3 more
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Ancilla Approximable Quantum State Transformations
, 2014 We consider the transformations of quantum states obtainable by a process of the following sort. Combine the given input state with a specially prepared initial state of an auxiliary system. Apply a unitary transformation to the combined system.
Blass, Andreas, Gurevich, Yuri
core +1 more source
Approximate Mal'tsev operations
Theory and Applications of Categories, 2008 Let \(X\) and \(A\) be sets and \(\alpha:X\to A\) a map between them. In this paper two characterization theorems are established. The first one is that a category \({\mathcal X}\) is a Mal'tsev category iff in the functor category \({\mathcal S}et^{{\mathcal X}^{\text{op}}\times{\mathcal X}}\) there exists an internal approximate Mal'tsev operation \(\
Bourn, Dominique, Janelidze, Zurab
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Robust Approximation of the Stochastic Koopman Operator [PDF]
SIAM Journal on Applied Dynamical Systems, 2020 We analyze the performance of Dynamic Mode Decomposition (DMD)-based approximations of the stochastic Koopman operator for random dynamical systems where either the dynamics or observables are affected by noise.
Mathias Wanner, Igor Mezi'c
semanticscholar +1 more source