Summary: 



ON ALMOST RANDOMIZING CHANNELS WITH A SHORT KRAUS

DECOMPOSITION



GUILLAUME AUBRUN



Abstract.For large d, we study quantum channels on Cdobtained by selectin*
*g randomly N inde-
pendent Kraus operators according to a probability measure ~ on the unita*
*ry group U(d). When ~
is the Haar measure, we show that for N < d="2, such a channel is "-rando*
*mizing with high proba-

Source: Aubrun, Guillaume - Institut Camille Jordan, Université Claude Bernard Lyon-I

Collections: Mathematics