Skip to content
aiqbench takeQuantum Computing

aiqbench analysis

This paper investigates the algebraic geometry of eigenvector varieties within linear spaces, specifically targeting their application to Lie algebras and quantum Hamiltonians. By systematically studying these mathematical structures, the work advances theoretical frameworks essential for understanding spectral properties in complex quantum systems.
Source coveringarXiv
What this isA model's reading of the article and related coverage, written for aiqbench. Not the publisher's words.

Eigenvector Varieties

arXiv1 min read

arXiv:2606.20432v2 Announce Type: replace-cross Abstract: Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvector varieties, with focus on Lie algebras and Hamiltonians of quantum systems.

Abstract:Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvector varieties, with focus on Lie algebras and Hamiltonians of quantum systems.

Algebraic Geometry (math.AG); Rings and Algebras (math.RA); Quantum Physics (quant-ph)

arXiv:2606.20432 [math.AG]

(or arXiv:2606.20432v2 [math.AG] for this version)

https://doi.org/10.48550/arXiv.2606.20432 Focus to learn more arXiv-issued DOI via DataCite

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Full text under the publisher's open licence · 138 words

Related coverage