Characterizing photon number statistics using conjugate optical homodyne detection
Abstract
We study the problem of determining the photon number statistics of an unknown quantum state using conjugate optical homodyne detection. We quantify the information gain in a single-shot measurement and show that the photon number statistics can be recovered in repeated measurements on an ensemble of identical input states without scanning the phase of the input state or randomizing the phase of the local oscillator used in homodyne detection. We demonstrate how the expectation maximization algorithm and Bayesian inference can be utilized to facilitate the reconstruction and illustrate our approach by conducting experiments to study the photon number distributions of a weak coherent state and a thermal state source.
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Electricity (OE)
- OSTI Identifier:
- 1591960
- Alternate Identifier(s):
- OSTI ID: 1607321
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Published Article
- Journal Name:
- Optics Express
- Additional Journal Information:
- Journal Name: Optics Express Journal Volume: 28 Journal Issue: 2; Journal ID: ISSN 1094-4087
- Publisher:
- Optical Society of America (OSA)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 47 OTHER INSTRUMENTATION
Citation Formats
Qi, Bing, Lougovski, Pavel, and Williams, Brian P. Characterizing photon number statistics using conjugate optical homodyne detection. United States: N. p., 2020.
Web. doi:10.1364/OE.383358.
Qi, Bing, Lougovski, Pavel, & Williams, Brian P. Characterizing photon number statistics using conjugate optical homodyne detection. United States. https://doi.org/10.1364/OE.383358
Qi, Bing, Lougovski, Pavel, and Williams, Brian P. Wed .
"Characterizing photon number statistics using conjugate optical homodyne detection". United States. https://doi.org/10.1364/OE.383358.
@article{osti_1591960,
title = {Characterizing photon number statistics using conjugate optical homodyne detection},
author = {Qi, Bing and Lougovski, Pavel and Williams, Brian P.},
abstractNote = {We study the problem of determining the photon number statistics of an unknown quantum state using conjugate optical homodyne detection. We quantify the information gain in a single-shot measurement and show that the photon number statistics can be recovered in repeated measurements on an ensemble of identical input states without scanning the phase of the input state or randomizing the phase of the local oscillator used in homodyne detection. We demonstrate how the expectation maximization algorithm and Bayesian inference can be utilized to facilitate the reconstruction and illustrate our approach by conducting experiments to study the photon number distributions of a weak coherent state and a thermal state source.},
doi = {10.1364/OE.383358},
journal = {Optics Express},
number = 2,
volume = 28,
place = {United States},
year = {2020},
month = {1}
}
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https://doi.org/10.1364/OE.383358
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