---
title: "Majorization theory for quasiprobabilities"
url: https://daily.dev/posts/majorization-theory-for-quasiprobabilities-tsgf3dw8c
source_url: https://www.nature.com/articles/s42005-026-02775-5
type: article
source: "Nature"
published: 2026-08-04T12:37:49.455Z
updated: 2026-08-04T12:38:08.581Z
tags: ["quantum-computing"]
reading_time: 3
upvotes: 0
comments: 0
language: en
---

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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

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