Quantum limit theorems

Katarzyna Lubnauer

Studia Mathematica (2004)

  • Volume: 164, Issue: 2, page 103-120
  • ISSN: 0039-3223

Abstract

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A noncommutative analogue of limit theorems in classical probability theory for distributions of canonical pairs of observables is considered. A complete description of all limit probability operators which are quantum counterparts of the classical infinitely divisible and semistable laws is obtained in the case when scalar norming is generalised to norming by 2 × 2 matrices.

How to cite

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Katarzyna Lubnauer. "Quantum limit theorems." Studia Mathematica 164.2 (2004): 103-120. <http://eudml.org/doc/285176>.

@article{KatarzynaLubnauer2004,
abstract = {A noncommutative analogue of limit theorems in classical probability theory for distributions of canonical pairs of observables is considered. A complete description of all limit probability operators which are quantum counterparts of the classical infinitely divisible and semistable laws is obtained in the case when scalar norming is generalised to norming by 2 × 2 matrices.},
author = {Katarzyna Lubnauer},
journal = {Studia Mathematica},
keywords = {canonical pairs; probability operators; states; characteristic functions; limit distributions},
language = {eng},
number = {2},
pages = {103-120},
title = {Quantum limit theorems},
url = {http://eudml.org/doc/285176},
volume = {164},
year = {2004},
}

TY - JOUR
AU - Katarzyna Lubnauer
TI - Quantum limit theorems
JO - Studia Mathematica
PY - 2004
VL - 164
IS - 2
SP - 103
EP - 120
AB - A noncommutative analogue of limit theorems in classical probability theory for distributions of canonical pairs of observables is considered. A complete description of all limit probability operators which are quantum counterparts of the classical infinitely divisible and semistable laws is obtained in the case when scalar norming is generalised to norming by 2 × 2 matrices.
LA - eng
KW - canonical pairs; probability operators; states; characteristic functions; limit distributions
UR - http://eudml.org/doc/285176
ER -

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