A Process-Theoretic Church of the Larger Hilbert Space
Quantum Physics
2019-05-31 v1
Abstract
We show how to reconstruct a process theory of local systems starting from a global theory of reversible processes on a single global system, by using the purification principle. In such a process theory, local systems are not given, but rather `emerge' as the global system is decomposed into subsystems. Local systems thus have specific identities and their composition is naturally limited by structural constraints, a behaviour which we formalise by defining symmetric partially-monoidal categories. We reconstruct quantum theory from the global theories of unitary groups acting on projective Hilbert spaces.
Keywords
Cite
@article{arxiv.1905.13117,
title = {A Process-Theoretic Church of the Larger Hilbert Space},
author = {Stefano Gogioso},
journal= {arXiv preprint arXiv:1905.13117},
year = {2019}
}