Coherent states engineering with linear optics: Possible and impossible tasks

Bing He, János A. Bergou

The general transformation of the product of coherent states ${\prod }_{i=1}^N|{\alpha }_i>$ to the output state ${\prod }_{i=1}^M|{\beta }_i>$ ($N=M$ or $N\ne M$), which is realizable with linear opt…