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This study establishes necessary conditions for entanglement generation within subsystems following quantum reference frame transformations, offering critical insights into the conservation of coherence and internal entanglement dynamics. The work distinguishes between systems admitting separable descriptions under these frames and those exhibiting genuine entanglement intrinsic to the formalism itself.
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Subsystem entanglement and separability in quantum reference frames

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arXiv:2512.19790v2 Announce Type: replace Abstract: We find a necessary condition for subsystems to become entangled after a quantum reference frame transformation. We then distinguish between subsystems that admit separable descriptions relative to a quantum reference frame, and those that do not. On the one hand, we show that separable descriptions maximize the entanglement internal to the subsystem, and relate our results with the conservation of entanglement and coherence under quantum reference frame transformations. On the other hand, systems that do not admit a separable description relative to any subsystem display a form of entanglement that is genuine to the quantum reference frame formalism.

Abstract:We find a necessary condition for subsystems to become entangled after a quantum reference frame transformation. We then distinguish between subsystems that admit separable descriptions relative to a quantum reference frame, and those that do not. On the one hand, we show that separable descriptions maximize the entanglement internal to the subsystem, and relate our results with the conservation of entanglement and coherence under quantum reference frame transformations. On the other hand, systems that do not admit a separable description relative to any subsystem display a form of entanglement that is genuine to the quantum reference frame formalism.

Quantum Physics (quant-ph); High Energy Physics - Theory (hep-th); History and Philosophy of Physics (physics.hist-ph)

arXiv:2512.19790 [quant-ph]

(or arXiv:2512.19790v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2512.19790 Focus to learn more arXiv-issued DOI via DataCite

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