Proper error bars for self-calibrating quantum tomography

Jun Yan Sim, Jiangwei Shang, Hui Khoon Ng, Berthold Georg Englert

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Self-calibrating quantum state tomography aims at reconstructing the unknown quantum state and certain properties of the measurement devices from the same data. Since the estimates of the state and device parameters come from the same data, one should employ a joint estimation scheme, including the construction and reporting of joint state-device error regions, to quantify uncertainty. We explain how to do this naturally within the framework of optimal error regions. As an illustrative example, we apply our procedure to the double-crosshair measurement of the BB84 scenario in quantum cryptography and so reconstruct the state and estimate the detection efficiencies simultaneously and reliably. We also discuss the practical situation of a satellite-based quantum key distribution scheme, for which self-calibration and proper treatment of the data are necessities.

Original languageEnglish
Article number022333
JournalPhysical Review A
Volume100
Issue number2
DOIs
Publication statusPublished - 26 Aug 2019

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