Quantification of entanglement by means of convergent iterations

Convergent Iterative Solutions of Schroedinger Equation for a Generalized Double Well Potential

We present an explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with a generalized double well potential $V=\frac{g^2}{2}(x^2-1)^2(x^2+a)$. The condition for the convergence of the iteration procedure and the dependence of the shape of the groundstate wave function on the parameter $a$ are discussed.

Two Kinds of Iterative Solutions for Generalized Sombrero-shaped Potential in $N$-dimensional Space

Based on two different iteration procedures the groundstate wave functions and energies for N-dimensional generalized Sombrero-shaped potentials are solved. Two kinds of trial functions for the iteration procedure are defined. The iterative solutions are convergent nicely to consistent results for different choices of iteration procedures and trial functions.

A Convergent Iterative Solution of the Quantum Double-well Potential

We present a new convergent iterative solution for the two lowest quantum wave functions $ψ_{ev}$ and $ψ_{od}$ of the Hamiltonian with a quartic double well potential $V$ in one dimension. By starting from a trial function, which is by itself the exact lowest even or odd eigenstate of a different Hamiltonian with a modified potential $V+δV$, we construct the Green's function for the modified potential. The true wave functions, $ψ_{ev}$ or $ψ_{od}$, then satisfies a linear inhomogeneous integral equation, in which the inhomogeneous term is the trial function, and the kernel is the product of th…

Iterative Solution for Generalized Sombrero-shaped Potential in $N$-dimensional Space

An explicit convergent iterative solution for the lowest energy state of the Schroedinger equation with generalized $N$-dimensional Sombrero-shaped potential is presented. The condition for the convergence of the iteration procedure and the dependence of the shape of the groundstate wave function on the parameters are discussed.

求解量子信息理论中的非线性特征值方程：一种用于纠缠量化的混合方法

Solving a Nonlinear Eigenvalue Equation in Quantum Information Theory: A Hybrid Approach to Entanglement Quantification

针对量子信息中纠缠变分量化的非线性特征值方程问题，提出分析与数值混合框架，结合高斯-赛德尔迭代与微扰校正，通过恒等式明确本征结构、线性化推导及单调性证明，在三量子比特基准中实现精确最优解与平滑收敛。