Graphical Framework for Non-Gaussian Quantum States
Abstract
We provide a graphical method to describe and analyze non-Gaussian quantum states using a hypergraph framework. These states are pivotal resources for quantum computing, communication, and metrology, but their characterization is hindered by their complex high-order correlations. The framework encapsulates transformation rules for a series of typical Gaussian unitary operation and local quadrature measurement, offering a visually intuitive tool for manipulating such states through experimentally feasible pathways. Notably, we develop methods for the generation of complex hypergraph states with more or higher-order hyperedges from simple structures through Gaussian operations only, facilitated by our graphical rules. We present illustrative examples on the preparation of non-Gaussian states rooted in these graph-based formalisms, revealing their potential to advance continuous-variable general quantum computing capabilities.
Cite
@article{arxiv.2409.07300,
title = {Graphical Framework for Non-Gaussian Quantum States},
author = {Lina Vandré and Boxuan Jing and Yu Xiang and Otfried Gühne and Qiongyi He},
journal= {arXiv preprint arXiv:2409.07300},
year = {2025}
}