| Issue |
Europhys. Lett.
Volume 57, Number 6, March 2002
|
|
|---|---|---|
| Page(s) | 782 - 788 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2002-00579-4 | |
| Published online | 01 August 2002 | |
Semicausal operations are semilocalizable
Institut für Mathematische Physik, TU
Braunschweig Mendelssohnstr. 3, 38106 Braunschweig, Germany
Corresponding authors: T.Eggeling@tu-bs.de D.Schlingemann@tu-bs.de R.Werner@tu-bs.de
Received:
9
July
2001
Accepted:
21
December
2001
We prove a conjecture by DiVincenzo, which in the terminology of Preskill et al. states that “semicausal operations are semilocalizable”. That is, we show that any operation on the combined system of Alice and Bob, which does not allow Bob to send messages to Alice, can be represented as an operation by Alice, transmitting a quantum particle to Bob, and a local operation by Bob. The proof is based on the uniqueness of the Stinespring representation for a completely positive map. We sketch some of the problems in transferring these concepts to the context of relativistic quantum field theory.
PACS: 03.67.a – Quantum information / 03.65.Ta – Foundations of quantum mechanics; measurement theory / 03.65.Ca – Formalism
© EDP Sciences, 2002
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.