Sharing nonfungible information requires shared nonfungible information

TL;DR

Sharing a quantum reference frame involves sharing specific measurement operators, but finite resources prevent observers from confirming this sharing, leading to decoherence due to uncertainty.

Contribution

The paper reveals the necessity of sharing measurement operators for quantum reference frames and analyzes the impact of finite resources on this sharing process.

Findings

Finite resources limit the ability to confirm shared measurement operators.

Uncertainty in sharing operators causes decoherence.

Sharing measurement operators is essential for quantum reference frames.

Abstract

We show that sharing a quantum reference frame requires sharing measurement operators that identify the reference frame in addition to operators that measure its state. Observers restricted to finite resources cannot, in general, operationally determine that they share such operators. Uncertainty about whether system-identification operators are shared induces decoherence.