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Bookmark or Share- Krylov complexity and Trotter transitions in unitary circuit dynamicsWe investigate many-body dynamics where the evolution is governed by unitary circuits through the lens of ``Krylov complexity,'' a recently proposed measure of complexity and quantum chaos. We extend the formalism of Krylov complexity to unitary circuit dynamics and focus on Floquet circuits arising as the Trotter decomposition of Hamiltonian dynamics. For short Trotter steps the results from ...
- 6.4 Krylov Subspaces and Conjugate - MIT OpenCourseWareKrylov subspaces The linear combinations of b, Ab, . . . , Aj−1b form the jth Krylov subspace. This space depends on A and b. Following convention, I will write Kj for that subspace and Kj for the matrix with those basis vectors in its columns: Krylov matrix Kj = [ b Ab A2b ... Aj−1b ] . (3)
- Stats | UFCNikita Krylov Walt Harris 1 0 11 1 0 0 0 0 UFC on FOX: Henderson vs Thomson Jan. 25, 2014 KO/TKO Kick 1 0:25 loss. Nikita Krylov Soa Palelei 0 0 45 29 0 4 2 0 UFC 164: Henderson vs Pettis 2 ...
- [1811.09025] An Introduction to Krylov Subspace Methods - arXiv.orgIn this part, the knowledge of Krylov methods are put into some examples for simple implementations of a commonly known Krylov method GMRES. In the second part, the article talks about CG iteration, a wildly known method which is very similar to Krylov methods.
- Nikita Krylov - Sherdog.comMMA news, interviews, pictures, videos and more since 1997.
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