Volume 116, Number 1, October 2016
|Number of page(s)||5|
|Published online||11 November 2016|
Error estimation in the direct state tomography
Departamento de Física, Universidad de Guadalajara - Revolución 1500, 44420 Guadalajara, Jal., México
Received: 27 July 2016
Accepted: 19 October 2016
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.
PACS: 03.65.Wj – State reconstruction, quantum tomography / 03.65.Ta – Foundations of quantum mechanics; measurement theory
© EPLA, 2016
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