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# Interpreting quantum-reference-frame transformations through a simple example

## Details

**Authors** Castro-Ruiz et al.

**Year** 2026

**Publisher** Physical Review A

**Discipline** Physics

[Read it at the publisher](https://doi.org/10.1103/czr8-dv1l) 
10.1103/czr8-dv1l

## In authors' words

### What they found (results)

Constructing two three-qubit states with Z2 symmetry, the authors show the states are indistinguishable by observables relative to one reference frame but distinguishable relative to another, and that three competing quantum-reference-frame frameworks (perspective-neutral, extra-particle, operational) each yield a different transformation rule for the same case.

## Commentary

### In short

What can be observed or distinguished about a physical system depends on which reference frame — which vantage point — describes it, and comparing three competing theoretical frameworks required drawing a precise conceptual distinction between their differing transformation rules and assumptions about accessible information.

**Patterns it shows** D, P

**Added** 2026-09-08

**How to cite this** Castro-Ruiz et al. (2026). Interpreting quantum-reference-frame transformations through a simple example. Physical Review A.