Superoscillations underlying remote state preparation for relativistic fields

TL;DR

This paper explores how superoscillations enable remote state preparation of relativistic quantum fields outside the light-cone, using the vacuum state as a resource, revealing deep links with the Reeh-Schlieder theorem.

Contribution

It introduces a thought experiment demonstrating remote state creation in relativistic fields via superoscillations, connecting quantum field theory with the mathematical concept of superoscillations.

Findings

Remote states can be prepared outside the light-cone.

Vacuum state acts as a resource for remote state preparation.

Highlights the connection between superoscillations and the Reeh-Schlieder theorem.

Abstract

We present a physical (gedanken) implementation of a generalized remote state preparation of relativistic quantum field states for an arbitrary set of observers. The prepared states are created in regions that are outside the future light-cone of the generating region. The mechanism, which is based on utilizing the vacuum state of a relativistic quantum field as a resource, sheds light on the well known Reeh-Schlieder theorem, indicating its strong connection with the mathematical phenomenon of superoscillations.