2019/05/30 by Stefano Gogioso, Gogioso, Stefano · 2 citations
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Origins and Evolution of Life #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1905.13117
arxiv created 2019/05/30 · openalex publication_date 2019/05/30 · arxiv updated 2019/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.