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

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Law of large numbers and central limit theorem for ergodic quantum processes. / Pathirana Karunarathna, Lubashan L.

In: Journal of Mathematical Physics, Vol. 64, No. 8, 01.08.2024.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Pathirana Karunarathna, LL 2024, 'Law of large numbers and central limit theorem for ergodic quantum processes', Journal of Mathematical Physics, vol. 64, no. 8. https://doi.org/10.1063/5.0153483

APA

Pathirana Karunarathna, L. L. (2024). Law of large numbers and central limit theorem for ergodic quantum processes. Journal of Mathematical Physics, 64(8). https://doi.org/10.1063/5.0153483

Vancouver

Pathirana Karunarathna LL. Law of large numbers and central limit theorem for ergodic quantum processes. Journal of Mathematical Physics. 2024 Aug 1;64(8). https://doi.org/10.1063/5.0153483

Author

Pathirana Karunarathna, Lubashan L. / Law of large numbers and central limit theorem for ergodic quantum processes. In: Journal of Mathematical Physics. 2024 ; Vol. 64, No. 8.

Bibtex

@article{30d5ea34ea63498b876774df4cb357e3,
title = "Law of large numbers and central limit theorem for ergodic quantum processes",
abstract = "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",
author = "{Pathirana Karunarathna}, {Lubashan L}",
year = "2024",
month = aug,
day = "1",
doi = "https://doi.org/10.1063/5.0153483",
language = "English",
volume = "64",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "A I P Publishing LLC",
number = "8",

}

RIS

TY - JOUR

T1 - Law of large numbers and central limit theorem for ergodic quantum processes

AU - Pathirana Karunarathna, Lubashan L

PY - 2024/8/1

Y1 - 2024/8/1

N2 - 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

AB - 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

U2 - https://doi.org/10.1063/5.0153483

DO - https://doi.org/10.1063/5.0153483

M3 - Journal article

VL - 64

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 8

ER -

ID: 382262034