26 citations · 52 across the 6 of their papers we have counts for
6 papers
Block diagonalization of block circulant quaternion matrices and the fast calculation for T-product of quaternion tensors
Meng-Meng Zheng, Guyan Ni
With the great success of the T-product based real tensor methods in the color image and gray video processing, the establishment of T-product based quaternion tensor methods in th…
Separability discrimination and decomposition of -partite quantum mixed states
Ying Li, Guyan Ni
The separability detecting problem of mixed states is one of the fundamental problems in quantum information theory. In the last 20 years, almost all methods are based on the suffi…
Hermitian tensor and quantum mixed state
Guyan Ni
An order complex tensor $\cH$ is said to be Hermitian if \[\mathcal{H}_\ijm=\mathcal{H}_\jim ^*\mathrm{\ for\ all\ }\ijm .\] It can be regarded as an extension of Hermitian ma…
Calculating Entanglement Eigenvalues for Non-Symmetric Quantum Pure States Based on the Jacobian Semidefinite Programming Relaxation Method
Mengshi Zhang, Xinzhen Zhang, Guyan Ni
The geometric measure of entanglement is a widely used entanglement measure for quantum pure states. The key problem of computation of the geometric measure is to calculate the ent…
Iterative methods for computing U-eigenvalues of non-symmetric complex tensors with application in quantum entanglement
Mengshi Zhang, Guyan Ni, Guofeng Zhang
The purpose of this paper is to study the problem of computing unitary eigenvalues (U-eigenvalues) of non-symmetric complex tensors. By means of symmetric embedding of complex tens…
How entangled can a multi-party system possibly be?
Liqun Qi, Guofeng Zhang, Guyan Ni
The geometric measure of entanglement of a pure quantum state is defined to be its distance to the space of product (seperable) states. Given an -partite system composed of subs…