作为离散滤波极限的随机Schrodinger方程
Stochastic Schrodinger equations as limit of discrete filtering
摘要：
本文考虑一个具有马尔可夫量子随机极限的开放模型，仅利用冯·诺依曼投影公设，导出了间接观测条件下波函数的极限随机薛定谔方程.我们表明，扩散（高斯）的情况是普遍的，作为一个例外情况下的量子跳跃（泊松）的情况下的中心极限定理的结果。结果表明，从相应的极限开放系统动力学出发，量子滤波理论导出了相同的方程，从而建立了极限马尔可夫模型的量子随机方法的一致性.
英文摘要：
We consider an open model possessing a Markovian quantum stochastic limit and derive the limit stochastic Schrodinger equations for the wave function conditioned on indirect observations using only the von Neumann projection postulate. We show that the diffusion (Gaussian) situation is universal as a result of the central limit theorem with the quantum jump (Poissonian) situation being an exceptional case. It is shown that, starting from the correponding limiting open systems dynamics, the theory of quantum filtering leads to the same equations, therefore establishing consistency of the quantum stochastic approach for limiting Markovian models.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
