Law of large numbers and central limit theorem for ergodic quantum processes
Research output: Contribution to journal › Journal article › Research › peer-review
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
Original language | English |
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Journal | Journal of Mathematical Physics |
Volume | 64 |
Issue number | 8 |
ISSN | 0022-2488 |
DOIs | |
Publication status | Published - 1 Aug 2024 |
ID: 382262034