A Categorical Treatment of Open Linear Systems

D Stein, R Samuelson - arxiv preprint arxiv:2403.03934, 2024 - arxiv.org
An open stochastic system\a la Willems is a system affected two qualitatively different kinds
of uncertainty--one is probabilistic fluctuation, and the other one is nondeterminism caused …

Complete equational theories for classical and quantum Gaussian relations

RI Booth, T Carette, C Comfort - arxiv preprint arxiv:2403.10479, 2024 - arxiv.org
We give generators and relations for the hypergraph props of Gaussian relations and
positive affine Lagrangian relations. The former extends Gaussian probabilistic processes …