Large deviation principle for moment map estimation
arXiv:2004.14504 · doi:10.1214/21-EJP636
Abstract
We consider a family of positive operator valued measures associated with representations of compact connected Lie groups. For many independent copies of a single state and a tensor power representation we show that the observed probability distributions converge to the value of the moment map. For invertible states we prove that the measures satisfy the large deviation principle with an explicitly given rate function.
v1: 24 pages. See related work today by Franks and Walter; v2: updated to match published version
References in corpus (6)
- Estimating the spectrum of a density operator
- Universal entanglement concentration
- Quantum state estimation and large deviations
- On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras
- Universal and distorsion-free entanglement concentration of multiqubit quantum states in the W class
- Minimal length in an orbit closure as a semiclassical limit