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pro vyhledávání: '"Saffat, Tahsin"'
In this work we attempt to count the number of integer-valued $h$-Lipschitz functions (functions that change by at most $h$ along edges) on two classes of sparse graphs; grid graphs $L_{m,n}$, and sparse random graphs $G(n,d/n)$. We find that for all
Externí odkaz:
http://arxiv.org/abs/2401.07223
Autor:
Saffat, Tahsin
We study the space of automorphic functions for the rational function field $\mathbb{F}_q(t)$ tamely ramified at three places. Eisenstein series are functions induced from the maximal torus. The space of Eisenstein series generates a trimodule for th
Externí odkaz:
http://arxiv.org/abs/2309.11085
Quantum signal processing allows for quantum eigenvalue transformation with Hermitian matrices, in which each eigenspace component of an input vector gets transformed according to its eigenvalue. In this work, we introduce the multivariate quantum ei
Externí odkaz:
http://arxiv.org/abs/2302.11139
Previous work has provided methods for decomposing unitary matrices to series of quantum multiplexers, but the multiplexers created in this way are highly non-minimal. This paper presents a new approach for optimizing quantum multiplexers with arbitr
Externí odkaz:
http://arxiv.org/abs/1902.06229