Results 81 to 90 of about 3,462 (189)
Toward a Solution of Archdeacon's Conjecture on Integer Heffter Arrays
ABSTRACT In this article, we make significant progress on a conjecture proposed by Dan Archdeacon on the existence of integer Heffter arrays H ( m , n ; s , k ) whenever the necessary conditions hold, that is, 3 ⩽ s ⩽ n, 3 ⩽ k ⩽ m, m s = n k and n k ≡ 0 , 3 ( mod 4 ).
Marco Antonio Pellegrini +1 more
wiley +1 more source
Aiming at low degrees of freedom (DOF) and high mutual coupling (MC) of the existing sparse arrays, an enhanced generalized nested array (EGNA) is proposed in this paper.
Yule Zhang +5 more
doaj +1 more source
Remarks on Quantum Modular Exponentiation and Some Experimental Demonstrations of Shor's Algorithm [PDF]
An efficient quantum modular exponentiation method is indispensible for Shor's factoring algorithm. But we find that all descriptions presented by Shor, Nielsen and Chuang, Markov and Saeedi, et al., are flawed.
Cao, Zhenfu, Cao, Zhengjun, Liu, Lihua
core +1 more source
2‐Adic Quantum Mechanics, Continuous‐Time Quantum Walks, and the Space Discreteness
Abstract The authors show that a large class of 2‐adic Schrödinger equations is the scaling limit of certain continuous‐time quantum Markov chains (CTQMCs). Practically, a discretization of such an equation gives a CTQMC. As a practical result, new types of continuous‐time quantum walks (CTQWs) on graphs using two symmetric matrices are constructed ...
W. A. Zúñiga‐Galindo
wiley +1 more source
Novel coprime MIMO configurations for DOA estimation with increased degrees of freedom
In this work, we propose some coprime multiple input multiple output (MIMO) configurations for direction-of-arrival (DOA) estimation, which achieve more degrees of freedom (DOF) than all the existing coprime MIMO configurations. We know that in a coprime
Rajen Kumar Patra, Anindya Sundar Dhar
doaj +1 more source
Thin hyperbolic reflection groups
Abstract We study a family of Zariski dense finitely generated discrete subgroups of Isom(Hd)$\mathrm{Isom}(\mathbb {H}^d)$, d⩾2$d \geqslant 2$, defined by the following property: any group in this family contains at least one reflection in a hyperplane. As an application, we obtain a general description of all thin hyperbolic reflection groups.
Nikolay Bogachev, Alexander Kolpakov
wiley +1 more source
A topological algorithm for the Fourier transform of Stokes data at infinity
Abstract We give a topological description of the behaviour of Stokes matrices under the Fourier transform from infinity to infinity in a large number of cases of one level. This explicit, algorithmic statement is obtained by building on a recent result of T.
Jean Douçot, Andreas Hohl
wiley +1 more source
General infinitesimal variations of the Hodge structure of ample curves in surfaces
Abstract Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper, we develop a general theory to study the infinitesimal version of this question in the case of ample curves.
Víctor González‐Alonso, Sara Torelli
wiley +1 more source
In this paper, a novel array structure exploiting coprime arrays is proposed which can be very proficient to determine the number of consecutive lags in proportion with the number of array elements.
Tarek Hasan Al Mahmud +4 more
doaj +1 more source
Modeling General Asymptotic Calabi–Yau Periods
Abstract In the quest to uncovering the fundamental structures that underlie some of the asymptotic Swampland conjectures the authors initiate the general study of asymptotic period vectors of Calabi–Yau manifolds. The strategy is to exploit the constraints imposed by completeness, symmetry, and positivity, which are formalized in asymptotic Hodge ...
Brice Bastian +2 more
wiley +1 more source

