Systematic errors in current quantum state tomography tools

Common tools for obtaining physical density matrices in experimental quantum state tomography are shown here to cause systematic errors. For example, using maximum likelihood or least squares optimization to obtain physical estimates for the quantum state, we observe a systematic underestimation of...

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Veröffentlicht in:Physical review letters 2015-02, Vol.114 (8), p.080403-080403, Article 080403
Hauptverfasser: Schwemmer, Christian, Knips, Lukas, Richart, Daniel, Weinfurter, Harald, Moroder, Tobias, Kleinmann, Matthias, Gühne, Otfried
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container_issue 8
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container_title Physical review letters
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creator Schwemmer, Christian
Knips, Lukas
Richart, Daniel
Weinfurter, Harald
Moroder, Tobias
Kleinmann, Matthias
Gühne, Otfried
description Common tools for obtaining physical density matrices in experimental quantum state tomography are shown here to cause systematic errors. For example, using maximum likelihood or least squares optimization to obtain physical estimates for the quantum state, we observe a systematic underestimation of the fidelity and an overestimation of entanglement. Such strongly biased estimates can be avoided using linear evaluation of the data or by linearizing measurement operators yielding reliable and computational simple error bounds.
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source American Physical Society Journals
subjects Density
Error analysis
Estimates
Least squares method
Operators
Optimization
Systematic errors
Tomography
title Systematic errors in current quantum state tomography tools
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