Error estimation in the direct state tomography

We show that reformulating the Direct State Tomography (DST) protocol in terms of projections into a set of non-orthogonal bases one can perform an accuracy analysis of DST in a similar way as in the standard projection-based reconstruction schemes, i.e., in terms of the Hilbert-Schmidt distance bet...

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Bibliographic Details
Published inEurophysics letters Vol. 116; no. 1; p. 10002
Main Authors Sainz, I., Klimov, A. B.
Format Journal Article
LanguageEnglish
Published EDP Sciences, IOP Publishing and Società Italiana di Fisica 01.10.2016
Subjects
03.65.Ta
03.65.Wj
Controller area network
Error analysis
Forecasting
Mathematical analysis
Permissible error
Reconstruction
Tomography
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Summary:We show that reformulating the Direct State Tomography (DST) protocol in terms of projections into a set of non-orthogonal bases one can perform an accuracy analysis of DST in a similar way as in the standard projection-based reconstruction schemes, i.e., in terms of the Hilbert-Schmidt distance between estimated and true states. This allows us to determine the estimation error for any measurement strength, including the weak measurement case, and to obtain an explicit analytic form for the average minimum square errors.
Bibliography:ark:/67375/80W-Z0PK1PTG-X
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publisher-ID:epl18175
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/116/10002