Quantum
Quantum Partial Information Decompositions, an Operational Order on Ensembles, and Direct Quantifications of Objective Information
Publication: quant-ph updates on arXiv.org
Author: Alexander Nico-Katz
Source published: 16/10/2026, 04:00:00 UTC
Briefing created: 16/10/2026, 05:03:42 UTC
Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 16/10/2026, 04:13:24 UTC.
Briefings
A new framework for quantum partial information decomposition (QPID) is introduced, extending classical PID to multipartite quantum systems. The study constructs two QPIDs of the Holevo quantity: one based on classical minimum mutual information and another using an operational partial order on ensembles defined by ensemble interconvertability. These findings establish a foundation for systematic multipartite QPID construction and demonstrate direct application to quantifying objective information in extended graph states.
Key points
- The study constructs two QPIDs of the Holevo quantity: a naive version based on classical minimum mutual information and a sophisticated version utilizing an operational partial order on quantum ensembles.
- The operational partial order is defined by ensemble interconvertability, providing a new method for analyzing multipartite quantum information structures.
Context
This research extends the partial information decomposition (PID) framework from classical information theory to quantum systems, enabling systematic analysis of information in multipartite setups. It builds upon recent bipartite extensions by developing a general multipartite approach.
Limitations
The evidence is limited to the abstract of a preprint (arXiv:2610.20694v1) published in October 2026. Specific numerical results, detailed experimental data, or further validation on extended graph states are not provided in the source.
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