Quantum
Mutual Information Across Quantum Reference Frame Perspectives
Publication: quant-ph updates on arXiv.org
Author: Leonardo Valente, Carla Ferradini, Flaminia Giacomini, Viktoria Kabel
Source published: 26/10/2026, 04:00:00 UTC
Briefing created: 26/10/2026, 06:13:13 UTC
Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 26/10/2026, 04:13:24 UTC.
Briefings
A new quantum mutual information measure is proposed to compare information across different quantum reference frames (QRFs), addressing the relativity of subsystem algebras. The study reveals that standard mutual information overcounts correlations due to algebraic overlaps, necessitating a modified chain law that ensures subadditivity. This framework quantifies correlations between subsystems relative to varying reference frames, offering insights into quantum information without a fixed tensor product structure.
Key points
- The study proposes a modified chain law for quantum mutual information to resolve overcounting of correlations when subsystem algebras overlap across different QRF perspectives.
- The resulting measure satisfies subadditivity and connects naturally to existing information-theoretic measures in the literature.
Context
Quantum information theory typically assumes a fixed partition of the world into subsystems via tensor product structures. However, subsystems can be defined relative to different quantum reference frames, leading to varying tensor product structures. This research addresses how to compare information across these different perspectives, particularly when algebras overlap.
Limitations
The evidence is limited to an arXiv preprint (arXiv:2610.31729v1) from October 2026, which may not be peer-reviewed. The findings represent a proposed framework and theoretical insights rather than experimental results or established consensus. Uncertainty exists regarding the universality of the proposed chain law across all quantum systems and the practical implementation of the new measure in existing quantum technologies.
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