This is the first talk in a series on "ergodic quantum processes." A quantum process is a sequence of quantum channels, which in turn are completely positive, trace preserving maps. In this talk, I will discuss the definition of a quantum channel and describe a general ergodic theorem for a quantum process formed from an ergodic sequence of stochastic channels. The proof of the result and applications to Matrix Product States will be discussed if time permits (but likely in a future talk).
(Zoom password: CPTP)