Results 111 to 120 of about 64,616 (316)
Characterization of the Spin and Crystal Field Hamiltonian of Erbium Dopants in Silicon
Advanced Quantum Technologies, EarlyView.Erbium in silicon is a promising platform for scalable quantum information processing, as it combines optically addressable spins in the telecom regime with the mature, wafer‐scale nanofabrication techniques available for silicon. In this work, the point symmetry and magnetic interaction of two particularly promising erbium sites are investigated.
Adrian Holzäpfel +5 more
wiley +1 more source
Regularity for commutators of the local multilinear fractional maximal operators
Advances in Nonlinear Analysis, 2020 In this paper we introduce and study the commutators of the local multilinear fractional maximal operators and a vector-valued function b⃗ = (b1, …, bm). Under the condition that each bi belongs to the first order Sobolev spaces, the bounds for the above
Zhang Xiao, Liu Feng
doaj +1 more source
Gröbner-Shirshov Bases for Commutative Algebras with Multiple Operators and Free Commutative Rota-Baxter Algebras [PDF]
arXiv, 2013 In this paper, the Composition-Diamond lemma for commutative algebras with multiple operators is established. As applications, the Gr\"obner-Shirshov bases and linear bases of free commutative Rota-Baxter algebra, free commutative $\lambda$-differential algebra and free commutative $\lambda$-differential Rota-Baxter algebra are given, respectively ...
arxiv
Necessary conditions for the boundedness of linear and bilinear commutators on Banach function spaces [PDF]
, 2017 In this article we extend recent results by the first author on the necessity of $BMO$ for the boundedness of commutators on the classical Lebesgue spaces. We generalize these results to a large class of Banach function spaces.
Lucas Chaffee, D. Cruz-Uribe
semanticscholar +1 more source
On commutativity and approximation
Theoretical Computer Science, 1983 AbstractThe action of commutativity and approximation is analyzed for some problems in Computational Complexity. Lower bound criteria to the approximate complexity are given in terms of border rank and commulative border rank of a given tensor. Upper bounds for the approximate complexity of the matrix-vector product are given.
openaire +3 more sources
Photon Number Coherence in Quantum Dot‐Cavity Systems can be Enhanced by Phonons
Advanced Quantum Technologies, EarlyView.Photon number coherence (PNC) is important for quantum cryptography. Because of that, the PNC within a quantum dot‐cavity system is investigated theoretically. Phonons, which interact with the quantum dot, surprisingly do not necessarily decrease PNC. It is demonstrated that it is possible to optimize other figures of merit without significant penalty ...
Paul C. A. Hagen +4 more
wiley +1 more source
Advances in Nonlinear Analysis, 2023 In this article, we show continuity of commutators of Calderón-Zygmund operators [b,T]\left[b,T] with BMO functions in generalized Orlicz-Morrey spaces MΦ,φ(Rn){M}^{\Phi ,\varphi }\left({{\mathbb{R}}}^{n}). We give necessary and sufficient conditions for
Guliyev V. S. +2 more
doaj +1 more source
Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware
Advanced Quantum Technologies, EarlyView.Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine +3 more
wiley +1 more source
Non-Commutative Representations of Families of k^2 Commutative Polynomials in 2k^2 Commuting Variables [PDF]
arXiv, 2012 Given a collection P of k^2 commutative polynomials in 2k^2 commutative variables, the objective is to find a condensed representation of these polynomials in terms of a single non-commutative polynomial p(X,Y) in two k x k matrix variables X and Y.
arxiv