Statistical phase-space complexity of continuous-variable quantum channels
Quantum Physics
2026-03-04 v1 Mathematical Physics
math.MP
Abstract
The statistical complexity of continuous-variable quantum states can be characterized with a quantifier defined in terms of information-theoretic quantities derived from the Husimi Q-function. In this work, we utilize this complexity quantifier of quantum states to study the complexity of single-mode bosonic quantum channels. We define the complexity of quantum channels as the maximal amount of complexity they can generate from an initial state with the minimal complexity. We illustrate this concept by evaluating the complexity of Gaussian channels and some examples of non-Gaussian channels.
Cite
@article{arxiv.2510.12878,
title = {Statistical phase-space complexity of continuous-variable quantum channels},
author = {Siting Tang and Francesco Albarelli and Yue Zhang and Shunlong Luo and Matteo G. A. Paris},
journal= {arXiv preprint arXiv:2510.12878},
year = {2026}
}