Superiority of heterodyning over homodyning: An assessment with quadrature moments
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2017
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Amer Physical Soc
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Abstract
We examine the moment-reconstruction performance of both the homodyne and heterodyne (doublehomodyne) measurement schemes for arbitrary quantum states and introduce moment estimators that optimize the respective schemes for any given data. In the large-data limit, these estimators are as efficient as the maximum-likelihood estimators. We then illustrate the superiority of the heterodyne measurement for the reconstruction of the first and second moments by analyzing Gaussian states and many other significant nonclassical states. Finally, we present an extension of our theories to two-mode sources, which can be straightforwardly generalized to all other multimode sources.
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©2017 American Physical Socie.
We acknowledge financial support from the BK21 Plus Program (Grant No. 21A20131111123) funded by the Ministry of Korea (NRF), the NRF grant funded by the Korea government (MSIP) (Grant No. 2010-0018295), the Korea Institute of Science and Technology Institutional Program (Project No. 2E26680-16-P025), the European Research Council (Advanced Grant PACART), the Spanish MINECO (Grant No. FIS2015-67963-P), the Grant Agency of the Czech Republic (Grant No. 15-03194S), and the IGA Project of the Palacky University (Grant No. IGA PrF 2016-005).