G. Birkhoff's problem in irreversible quantum dynamics
Year: 2010
Type: preprint
Abstract: We study operator spaces determined uniquely by a completely positive map and find a complete invariance upto cocycle conjugacy for an extremal element in the convex set of unital trace preserving completely positive map on matrix algebra over the field of complex numbers. We prove a Hann-Banach-Arveson's type of theorem on operator spaces which made it possible to use dynamical systems approach to arrive at our main result via P. Jordan's theorem on order isomorphisms on $C^*$ algebras.
Source: arXiv (Cornell University)
Author: Anilesh Mohari
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1951339303