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31 papers · 1 filter
Convergence Rates of Spectral Distribution of Large Dimensional Quaternion Sample Covariance Matrix
Huiqin LI, Zhidong Bai
In this paper, we study the convergence rates of empirical spectral distribution of large dimensional quaternion sample covariance matrix. Assume that the entries of …
One-step achievement of robust multipartite Greenberger-Horne-Zeilinger state and controlled-phase gate via Rydberg interaction
Xiao-Qiang Shao, Tai-Yu Zheng, C. H. Oh +1
We present a proposal for generation of a robust tripartite Greenberger-Horne-Zeilinger state among three-individual neutral Rydberg atoms. By modulating the relation between two-p…
Powers of the Phantom Ideal
Xianhui Fu, Ivo Herzog
It is proved that if G is a finite group, then the order of G is a proper upper bound for the phantom number of G. More specifically, if k is a field whose characteristic divides t…
Extreme Eigenvalues of Large Dimensional Quaternion Sample Covariance Matrix
Huiqin Li, Zhidong Bai
In this paper, we shall investigate the almost sure limits of the largest and smallest eigenvalues of a quaternion sample covariance matrix. Suppose that is a $p\time…
Convergence rates of the spectral distributions of large random quaternion self-dual Hermitian matrices
Yanqing Yin, Zhidong Bai
In this paper, convergence rates of the spectral distributions of quaternion self-dual Hermitian matrices are investigated. We show that under conditions of finite 6th moments, the…
A local equivariant index theorem for sub-signature operators
Kaihua Bao, Jian Wang, Yong Wang
In this paper, we prove a local equivariant index theorem for sub-signature operators which generalizes the Zhang's index theorem for sub-signature operators.