Moment and polynomial optimization has received high attention in recent decades. It has
beautiful theory and efficient methods, as well as broad applications for various …

We present a faithful geometric picture for genuine tripartite entanglement of discrete,
continuous, and hybrid quantum systems. We first find that the triangle relation E i| jk α≤ E j …

Hermitian tensors are generalizations of Hermitian matrices, but they have very different
properties. Every complex Hermitian tensor is a sum of complex Hermitian rank-1 tensors …

It is not easy to compute the entanglement of multipartite pure or mixed states, because it
usually involves complex optimization. In this paper, we are devoted to the geometric …

An order $2 m $ 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 matrix to …

Hermitian tensors are natural generalizations of Hermitian matrices, while possessing rather
different properties. A Hermitian tensor is separable if it has a Hermitian decomposition with …

In this paper, we propose a quantum algorithm for recommendation systems which
incorporates the contextual information of users to the personalized recommendation. The …

In our paper, we concentrate on the Z-eigenvalue inclusion theorem and its application in
the geometric measure of entanglement of multipartite pure states. We present a new Z …

The geometric measure of entanglement of a multipartite pure state is defined it terms of its
geometric distance from the set of separable pure states. The quantum eigenvalue problem …

Quantum hypergraph states are the natural generalization of graph states. Here we
investigate and analytically quantify entanglement and nonlocality for large classes of …