论文标题
Bethe Ansatz在量子计算机上?
Bethe ansatz on a quantum computer?
论文作者
论文摘要
我们认为,通过将伯特状态视为变异状态,而伯特(Bethe)作为变异参数来研究具有变异量子本特征(VQE)算法的各向异性海森堡量子自旋链的可行性。对于短链,我们构建了具有变化参数函数的精确的一个磁通试验状态,并在Qiskit中实施VQE计算。但是,确切的多马格农试验状态似乎遥不可及。
We consider the feasibility of studying the anisotropic Heisenberg quantum spin chain with the Variational Quantum Eigensolver (VQE) algorithm, by treating Bethe states as variational states, and Bethe roots as variational parameters. For short chains, we construct exact one-magnon trial states that are functions of the variational parameter, and implement the VQE calculations in Qiskit. However, exact multi-magnon trial states appear to be out out of reach.