Work

Confidence Polytopes in Quantum State Tomography

Year: 2019
Type: article
Abstract: Quantum state tomography is the task of inferring the state of a quantum system from measurement data. A reliable tomography scheme should not only report an estimate for that state, but also well-justified error bars. These may be specified in terms of confidence regions, i.e., subsets of the state space which contain the system's state with high probability. Here, building upon a quantum generalization of Clopper-Pearson confidence intervals-a notion known from classical statistics-we present a simple and reliable scheme for generating confidence regions. These have the shape of a polytope and can be computed efficiently. We provide several examples to demonstrate the practical usability of the scheme in experiments.
Language: English
Open Access status: green
OpenAlex ID: W2889142228
FWCI: 1.708
Cites: 57
Cited by: 25
Related to: 10