2020/10/12 by Thomas Faulkner, Stefan Hollands, Faulkner, Thomas +1 · 2 citations
Computer Science · Mathematics · Neuroscience · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Computability, Logic, AI Algorithms #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Neural dynamics and brain function #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.2010.05513
openalex publication_date 2020/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We generalize our results in paper I in this series to quantum channels\nbetween general v. Neumann algebras, proving the approximate recoverability of\nstates which undergo a small change in relative entropy through the channel. To\nthis end, we derive a strengthened form of the quantum data processing\ninequality for the change in relative entropy of two states under a channel\nbetween two v. Neumann algebras. Compared to the usual inequality, there is an\nexplicit lower bound involving the fidelity between the original state and a\nrecovery channel.\n