Comparison of confidence regions for quantum state tomography

Author:

Almeida Jessica O deORCID,Kleinmann Matthias,Sentís Gael

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

Publisher

IOP Publishing

Subject

General Physics and Astronomy

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