Discrete-time classical and quantum Markovian evolutions: Maximum entropy problems on path space
Discrete-time classical and quantum Markovian evolutions: Maximum entropy problems on path space
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离散时间经典和量子马尔可夫演化：路径空间上的最大熵问题
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
F. Ticozzi
中科院分区：
文献类型：
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作者：
M. Pavon;F. Ticozzi
将扩散过程的薛定谔桥理论推广到经典和量子离散时间马尔可夫演化。路径空间最大熵问题的解决方案是从先验模型在这两种情况下，通过一个合适的乘法函数变换。在量子情形下，讨论了量子信道的非平衡时间反演，并引入了时空谐波过程。
The theory of Schrodinger bridges for diffusion processes is extended to classical and quantum discrete-time Markovian evolutions. The solution of the path-space maximum entropy problems is obtained from the a priori model in both cases via a suitable multiplicative functional transformation. In the quantum case, nonequilibrium time reversal of quantum channels is discussed and space-time harmonic processes are introduced.