Remote State Preparation for Quantum Fields
arXiv:1501.01407 · doi:10.1007/s10701-016-0001-3
Abstract
Remote state preparation is generation of a desired state by a remote observer. In spite of causality, it is well known, according to the Reeh-Schlieder theorem, that it is possible for relativistic quantum field theories, and a "physical" process achieving this task, involving superoscillatory functions, has recently been introduced. In this work we deal with non-relativistic fields, and show that remote state preparation is also possible for them, hence obtaining a Reeh-Schlieder-like result for general fields. Interestingly, in the nonrelativistic case, the process may rely on completely different resources than the ones used in the relativistic case.
14 pages, 1 figure. Third edition which includes an expanded discussion, Found. of Phys. (2016)