Law of large numbers and central limit theorem for ergodic quantum processes

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A discrete quantum process is represented by a sequence of quantum operations, which are completely positive maps that are not necessarily trace preserving. We consider quantum processes that are obtained by repeated iterations of a quantum operation with noise. Such ergodic quantum processes generalize independent quantum processes. An ergodic theorem describing convergence to equilibrium for a general class of such processes has been recently obtained by Movassagh and Schenker. Under irreducibility and mixing conditions, we obtain a central limit type theorem describing fluctuations around the ergodic limit
TidsskriftJournal of Mathematical Physics
Udgave nummer8
StatusUdgivet - 1 aug. 2024

ID: 382262034