Abstract
Abstract
The quantum state associated to an unknown experimental preparation procedure can be determined by performing quantum state tomography. If the statistical uncertainty in the data dominates over other experimental errors, then a tomographic reconstruction procedure must express this uncertainty. A rigorous way to accomplish this is via statistical confidence regions (CRs) in state space. Naturally, the size of this region decreases when increasing the number of samples, but it also depends critically on the construction method of the region. We compare recent methods for constructing CRs as well as a reference method based on a Gaussian approximation. For the comparison, we propose an operational measure with the finding, that there is a significant difference between methods, but which method is preferable can depend on the details of the state preparation scenario.
Funder
Horizon 2020 Framework Programme
Fundación Cellex
Ministerio de Ciencia e Innovación
Barcelona Supercomputing Center
FUNDACIÓ Privada MIR-PUIG
Generalitat de Catalunya
Bundesministerium für Forschung und Technologie
Horizon Foundation
Deutsche Forschungsgemeinschaft
Chinesisch-Deutsche Zentrum für Wissenschaftsförderung
H2020 Future and Emerging Technologies
H2020 European Research Council
Narodowe Centrum Nauki
Institut de Ciències Fotòniques
Subject
General Physics and Astronomy