Remote State Preparation for Quantum Fields

TL;DR

This paper demonstrates that remote state preparation, previously known for relativistic quantum fields, is also feasible for non-relativistic fields, revealing new resources and extending the Reeh-Schlieder theorem's implications.

Contribution

It extends the concept of remote state preparation to non-relativistic quantum fields, showing it is possible and identifying different resources involved.

Findings

Remote state preparation is possible for non-relativistic fields.

Different resources are used in non-relativistic cases compared to relativistic ones.

A Reeh-Schlieder-like result is established for general fields.

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.