Local Operations and Completely Positive Maps in Algebraic Quantum Field Theory
Abstract
Einstein introduced the locality principle which states that all physical effect in some finite space-time region does not influence its space-like separated finite region. Recently, in algebraic quantum field theory, R\'{e}dei captured the idea of the locality principle by the notion of operational separability. The operation in operational separability is performed in some finite space-time region, and leaves unchanged the state in its space-like separated finite space-time region. This operation is defined with a completely positive map. In the present paper, we justify using a completely positive map as a local operation in algebraic quantum field theory, and show that this local operation can be approximately written with Kraus operators under the funnel property.
Keywords
Cite
@article{arxiv.1704.01229,
title = {Local Operations and Completely Positive Maps in Algebraic Quantum Field Theory},
author = {Yuichiro Kitajima},
journal= {arXiv preprint arXiv:1704.01229},
year = {2017}
}