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Passive quantum reference frame transformations cannot create entanglement between physical systems

T. Rick Perche, Natália Salomé Móller, Guilherme Franzmann

Abstract

We find a necessary condition for subsystems to become entangled after a quantum reference frame transformation. By distinguishing between quantum systems suitable to act as reference frames and physical systems described relative to these frames, we define passive quantum reference frames and show that transformations between these cannot produce entanglement between physical systems. Our results also apply to the study of entanglement between subsystems in the perspectival framework even when there is no distinction between physical and reference systems.

Passive quantum reference frame transformations cannot create entanglement between physical systems

Abstract

We find a necessary condition for subsystems to become entangled after a quantum reference frame transformation. By distinguishing between quantum systems suitable to act as reference frames and physical systems described relative to these frames, we define passive quantum reference frames and show that transformations between these cannot produce entanglement between physical systems. Our results also apply to the study of entanglement between subsystems in the perspectival framework even when there is no distinction between physical and reference systems.
Paper Structure (3 sections, 32 equations, 1 figure)

This paper contains 3 sections, 32 equations, 1 figure.

Table of Contents

  1. General Passive Quantum Reference Frame Transformations
  2. Passive Quantum Reference Frames in Mixed States
  3. Passive QRFs cannot increase entanglement between physical systems compared to their standard form

Figures (1)

  • Figure 1: The figure depicts a change of reference frames from system 1 to system 2 (blue). The state of the current reference frame is denoted as a green arrow, and we distinguish between the systems A and B (red) being described with respect to each reference frame and the systems we pick as references.