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# Majorization theory for quasiprobabilities

**[Nature](https://daily.dev/sources/nature)** · 3 min read · 0 upvotes · 0 comments

## Summary

A new majorization framework is developed for quasiprobability distributions — functions that take negative values over infinite domains — which are central to quantum optics, signal analysis, and bosonic quantum computation. The work proves four equivalent characterizations of this generalized majorization, extending the classical Hardy-Littlewood-Pólya theorem to infinite measure spaces. Applications include deriving resource monotones and constraining quantum state conversions within quantum resource theories, with analytical and numerical examples using Wigner and Husimi functions.

## Full article

daily.dev links to this article rather than hosting it. Read it at the original source: <https://www.nature.com/articles/s42005-026-02775-5>

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Tags: [#quantum-computing](https://daily.dev/tags/quantum-computing)

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