Abstract

The efficient certification of nonclassical effects of light forms the basis for applications in optical quantum technologies. We derive general correlation conditions for the verification of nonclassical light based on multiplexed detection. The obtained nonclassicality criteria are valid for imperfectly-balanced multiplexing scenarios with on-off detectors and do not require any knowledge about the detector system. In this sense they are fully independent of the detector system. In our experiment, we study light emitted by clusters of single-photon emitters, whose photon number may exceed the number of detection channels. Even under such conditions, our criteria certify nonclassicality with high statistical significance.

Highlights

  • The verification of quantum correlations in optical systems is a key task in quantum optics

  • Such strategies do not provide a direct access to the photon-number distribution and the interpretation of the measurement statistics as the photon-number statistics can lead to a false certification of nonclassicality [19]

  • We apply the nonclassicality criteria based on the inequalities (4) and (5) to the multiplexing data obtained for the different cluster sizes

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Summary

INTRODUCTION

The verification of quantum correlations in optical systems is a key task in quantum optics. For the analysis of quantum light in this regime, so-called multiplexing strategies [9,10,11,12,13,14,15,16,17,18] have been developed as a way of gaining insights in the measured quantum state even when a photon-number-resolving measurement is not accessible Such strategies do not provide a direct access to the photon-number distribution and the interpretation of the measurement statistics as the photon-number statistics can lead to a false certification of nonclassicality [19]. Other multiplexing strategies such as fiber-loop detectors [11,33] by design do not provide an equal splitting For such unequal-splitting scenarios, a condition based on second-order moments [25] has been derived as a generalization of the corresponding equal-splitting condition [20]. The relations of the presented nonclassicality certifiers to other nonclassicality criteria based on the Mandel Q parameter and the matrix of moments approach are discussed

MULTIPLEXING DETECTION
CONDITIONS FOR QUANTUM CORRELATIONS
EXAMPLE
EXPERIMENT
RESULTS
DISCUSSION
VIII. CONCLUSIONS
Two-channel no-click correlation
Chebyshev’s integral inequality
Multimode generalization
Independence of uncorrelated noise contributions
Relation to conditions of the form of the Mandel Q parameter
Relation to criteria based on the matrix of moments approach
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