A sufficient family of necessary inequalities for the compatibility of quantum marginals

2022/11/01 by Thomas C. Fraser, Fraser, Thomas C. · 2 citations
Mathematics · #FOS: Physical sciences #Graph theory and applications #Quantum Physics (quant-ph) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2211.00685

openalex publication_date 2022/11/01 · openalex created_date 2022/11/08 · openalex updated_date 2026/07/28

Abstract

The quantum marginal problem is concerned with characterizing which collections of quantum states on different subsystems are compatible in the sense that they are the marginals of some multipartite quantum state. Presented here is a countable family of inequalities, each of which is necessarily satisfied by any compatible collection of quantum states. Additionally, this family of inequalities is shown to be sufficient: every incompatible collection of quantum states will violate at least one inequality belonging to the family.

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