论文标题
离散相空间中的过渡概率和过渡率
Transition probabilities and transition rates in discrete phase space
论文作者
论文摘要
离散Wigner函数的演变正式与概率过程相似，但是过渡概率（如离散的Wigner函数本身）可能为负。我们研究了这些过渡概率以及连续过程的过渡速率，尤其是为了确定一组此类数量对应于合法量子过程的简单标准。我们还展示了如何通过扩展哈密顿量作为离散阶段空间中位移算子的线性组合来解决任何哈密顿进化的过渡速率。
The evolution of the discrete Wigner function is formally similar to a probabilistic process, but the transition probabilities, like the discrete Wigner function itself, can be negative. We investigate these transition probabilities, as well as the transition rates for a continuous process, aiming particularly to give simple criteria for deciding when a set of such quantities corresponds to a legitimate quantum process. We also show how the transition rates for any Hamiltonian evolution can be worked out by expanding the Hamiltonian as a linear combination of displacement operators in the discrete phase space.
