Published online by Cambridge University Press: 01 January 2022
This article investigates the nature of entangled correlations in algebraic quantum field theory (AQFT). We define a notion of local disentanglement, expressing the possibility of destroying entanglement by means of local operations. Contrary to the case of ordinary quantum mechanics, local disentanglement cannot be achieved in general in relativistic quantum field theory. However, we show that if the split property holds, there exists a local operation that can destroy entanglement between spacelike-separated quantum field systems.
The author is indebted to Miklos Redei for precious advice on the technical and conceptual development of this work. He also wishes to thank Hans Halvorson, David Malament, and Stephen Summers for helpful comments and discussions. Support for research leading to this article is acknowledged under National Science Foundation grant 0749856.