Results 51 to 60 of about 24,623 (305)
Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
The commutativity degree of some nonabelian two-groups with a cyclic subgroup of index four [PDF]
, 2014 The determination of the abelianness of a finite group has been introduced for symmetric groups, finite groups and finite rings in the last fifty years.
Mohammed Hussein Saleh, Haitham
core
, 2008 We briefly describe several techniques that have been developed to solve the problem of characterizing commutativity preserving maps. We prove a new result describing the general form of injective continuous commutativity preserving maps on full matrix ...
Peter Šemrl, Šemrl, Peter
core +1 more source
International Journal of Mathematics and Mathematical Sciences, 1996 Let R be a ring, and let N and C denote the set of nilpotents and the center of R, respectively. R is called generalized periodic if for every x∈R\(N⋃C), there exist distinct positive integers m, n of opposite parity such that xn−xm∈N⋂C.
Howard E. Bell, Adil Yaqub
doaj +1 more source
Commutative subalgebras from Serre relations
Physics Letters B, 2023 We demonstrate that commutativity of numerous one-dimensional subalgebras in W1+∞ algebra, i.e. the existence of many non-trivial integrable systems described in recent arXiv:2303.05273 follows from the subset of relations in algebra known as Serre ...
A. Mironov +3 more
doaj +1 more source
Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, EarlyView.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source
On commutativity and approximation
Theoretical Computer Science, 1983 The paper deals with lower and upper bounds on the algebraic complexity of bilinear forms based on the rank of the corresponding tensors. It defines the ''commutative border rank'' (cbrk) of a tensor, which is a modification of the definition of ''rank'' so that it can be applied to algorithms that a) only need to approximate the solution and b) make ...
openaire +2 more sources
On Commuting and Noncommuting Complexes
Journal of Algebra, 2001 In this paper we study various simplicial complexes associated to the commutative structure of a finite group G. We define NC(G) (resp. C(G)) as the complex associated to the poset of pairwise non-commuting (resp. commuting) sets in G. We observe that NC(G) has only one positive dimensional connected component, which we call BNC(G), and we prove that ...
Pakianathan, Jonathan, Yalçın, Ergün
openaire +3 more sources
Exact Solutions of Linear Multiple Delay Partial Differential Equations
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley +1 more source