Networks of quantum reference frames and the nature of conserved quantities

TL;DR

This paper explores complex properties of interconnected quantum reference frames, revealing subtle issues in tracking conserved quantities and proposing a new analytical approach to understanding quantum frames.

Contribution

It introduces a novel framework for analyzing networks of quantum reference frames and discusses their implications for the nature of conserved quantities.

Findings

Networks exhibit counterintuitive properties affecting conserved quantity exchange

Highlights subtlety in tracking conserved quantities in quantum networks

Proposes an alternative analytical approach for quantum reference frames

Abstract

We show that networks of quantum frames of reference, in which one frame may be used to produce multiple other frames that in their turn prepare systems which may interact with one another, have counterintuitive properties that make following the exchange of conserved quantities very subtle, and raise questions about the very nature of conserved quantities. In addition, we present an alternative approach to analysing quantum reference frames that we believe will be useful in discussions related to quantum frames of reference.