Results 41 to 50 of about 9,251 (245)

General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The quantum gate teleportation mechanism allows for the fault‐tolerant implementation of “Clifford hierarchies” of gates assuming, among other things, a fault‐tolerant implementation of the Pauli gates. We discuss how this method can be extended to assume the fault‐tolerant implementation of any orthogonal unitary basis of operators, in such a
Samuel González‐Castillo, Elías F. Combarro, Ignacio F. Rúa, José Ranilla   +3 more
wiley   +1 more source

On normal automorphisms of n-periodic products of finite cyclic groups [PDF]

International Journal of Group Theory, 2013
We prove that each normal automorphism of the$n$-periodic product of cyclic groups of odd order$rge1003$ is inner, whenever $r$ divides $n$.
Ashot Pahlevanyan, Ani Khachatryan, Amirjan Gevorgyan, Varuzhan Atabekyan   +3 more
doaj  

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek, Zineb Sabbagh   +3 more
wiley   +1 more source

Automorphism groups of some non-nilpotent Leibniz algebras

Researches in Mathematics
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[a,[b,c]]=[[a,b],c]+[b,[a,c]]$ for all $a,b,c\in L$. A linear transformation $f$ of $L$
L.A. Kurdachenko, P.Ye. Minaiev, O.O. Pypka   +2 more
doaj   +1 more source

Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics

Fortschritte der Physik, EarlyView.
Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley   +1 more source

Computing the bridge length: the key ingredient in a continuous isometry classification of periodic point sets

Acta Crystallographica Section A, EarlyView.
We describe an efficient algorithm to compute the bridge length estimating the size of a complete isoset invariant, which classifies all periodic point sets under Euclidean motion.The fundamental model of any periodic crystal is a periodic set of points at all atomic centres.
Jonathan McManus, Vitaliy Kurlin
wiley   +1 more source

On Automorphisms of a Distance-Regular Graph with Intersection Array {125,96,1;1,48,125} [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2017
J. Koolen posed the problem of studying distance-regular graphs in which neighborhoods of vertices are strongly regular graphs with the second eigenvalue ≤ t for the given positive integer t.
V.V. Bitkina, A.A. Makhnev
doaj  

AUTOMORPHISM GROUPS OF QUANDLES [PDF]

Journal of Algebra and Its Applications, 2012
We prove that the automorphism group of the dihedral quandle with n elements is isomorphic to the affine group of the integers mod n, and also obtain the inner automorphism group of this quandle. In [B. Ho and S. Nelson, Matrices and finite quandles, Homology Homotopy Appl.7(1) (2005) 197–208.], automorphism groups of quandles (up to isomorphisms) of ...
Elhamdadi, Mohamed, Macquarrie, Jennifer, Restrepo, Ricardo   +2 more
openaire   +4 more sources

Existence and orthogonality of stable envelopes for bow varieties

Bulletin of the London Mathematical Society, EarlyView.
Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
wiley   +1 more source

Semicontinuity of the Automorphism Groups of Domains with Rough Boundary

International Journal of Mathematics and Mathematical Sciences, 2012
Based on some ideas of Greene and Krantz, we study the semicontinuity of automorphism groups of domains in one and several complex variables. We show that semicontinuity fails for domains in , , with Lipschitz boundary, but it holds for domains in with ...
Steven G. Krantz
doaj   +1 more source