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Description
Photon-number resolving detectors have experienced a wide spread throughout the last decades and proved to be versatile for a large number of applications. In particular, Multi-Pixel Photon Counters (MPPC) have been shown to be promising for Quantum Optics applications [1,2,3]. Unfortunately, these detectors are typically affected by correlated noise, which is especially detrimental for the detection of quantum correlations. The most important source of correlated noise is the Optical Cross-Talk (OCT), i.e. a photon emitted by a decelerating photoelectron fires a neighboring pixel, thus providing a spurious count. We have recently shown [4;5;6;7] that a commercial class of MPPC, i.e. the silicon photomultipliers, allows to detect the nonclassicality of a conditional state even in the presence of the OCT. In particular, we generated a multimode twin-beam state and used the silicon photomultipliers to perform conditional measurements. We successfully revealed the sub-Poissonianity of the conditional state. However, as far as we know, a theoretical description of a conditional measurement in the presence of the OCT is still lacking. Here, we extend the model for the conditional measurements with photon counting introduced in [8] by including the effect of the OCT. We provide the statistics of the number of detected photons for the conditional state and retrieve the analytic expression of the related Fano factor.
[1] I. Afek et al., “Quantum state measurements using multipixel photon detectors,” Phys. Rev. A 79, 043830(1-6) (2009).
[2] D. A. Kalashnikov et al., “Measurement of two-mode squeezing with photon number resolving multipixel detectors,” Opt. Lett. 27, 14(2829-2831) (2012).
[3] G. Chesi et al., “Optimizing Silicon photomultipliers for Quantum Optics,” Sci. Rep. 9, 7433(1-12) (2019).
[4] G. Chesi et al., “Measuring nonclassicality with silicon photomultipliers,” Opt. Lett. 44, 6(1371-1374) (2019).
[5] G. Chesi et al., “Effects of nonideal features of silicon photomultipliers on the measurements of quantum correlations,” Int. J. Quantum Inf. 17, 1941012 (2019).
[6] G. Chesi et al., “Autocorrelation functions: a useful tool for both state and detector characterisation,” Quantum Meas. Quantum Metrol. 6, 1(1-6) (2019).
[7] M. Bondani et al., “Measuring nonclassicality of mesoscopic twin-beam states with Silicon Photomultipliers,” Proceedings 12, 48-52 (2019).
[8] A .Allevi et al., “Conditional measurements on multimode pairwise entangled states from spontaneous parametric downconversion”, EPL 92,1-6 (2010).
