Optimized Tomography of Continuous Variable Systems Using Excitation Counting

We propose a systematic procedure to optimize quantum state tomography protocols for continuous variable systems based on excitation counting preceded by a displacement operation. Compared with conventional tomography based on Husimi or Wigner function measurement, the excitation counting approach c...

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Bibliographic Details
Published inarXiv.org
Main Authors Shen, Chao, Heeres, Reinier W, Reinhold, Phil, Jiang, Luyao, Yi-Kai, Liu, Schoelkopf, Robert J, Jiang, Liang
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.11.2016
Subjects
Continuity (mathematics)
Error analysis
Error detection
Excitation
Optimization
Physics - Quantum Physics
Reconstruction
Robustness
Tomography
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Summary:We propose a systematic procedure to optimize quantum state tomography protocols for continuous variable systems based on excitation counting preceded by a displacement operation. Compared with conventional tomography based on Husimi or Wigner function measurement, the excitation counting approach can significantly reduce the number of measurement settings. We investigate both informational completeness and robustness, and provide a bound of reconstruction error involving the condition number of the sensing map. We also identify the measurement settings that optimize this error bound, and demonstrate that the improved reconstruction robustness can lead to an order of magnitude reduction of estimation error with given resources. This optimization procedure is general and can incorporate prior information of the unknown state to further simplify the protocol.
ISSN:2331-8422
DOI:10.48550/arxiv.1606.07554