The Choi–Jamiolkowski forms of quantum Gaussian channels
Alexander Semenovich Holevo · Journal of Mathematical Physics · 2011
We obtain explicit expressions for the Choi–Jamiolkowski (CJ) forms and operators defining a general bosonic Gaussian channel. The four principal cases are considered in Sec. III; in Sec. IV, we give a decomposition of Gaussian CJ form into product of these four principal types and provide a necessary and sufficient condition for the existence of the bounded CJ operator.