On the Prospects of Multiport Devices for Photon-Number-Resolving Detection



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Teo, Yong Siah and Jeong, Hyunseok and Řeháček, Jaroslav and Hradil, Zdeněk and Sánchez Soto, Luis Lorenzo and Silberhorn, Christine (2019) On the Prospects of Multiport Devices for Photon-Number-Resolving Detection. Quantum Reports, 1 (2). pp. 162-180. ISSN 2624-960X

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Official URL: https://doi.org/10.3390/quantum1020015


Ideal photon-number-resolving detectors form a class of important optical components in quantum optics and quantum information theory. In this article, we theoretically investigate the potential of multiport devices having reconstruction performances approaching that of the Fock-state measurement. By recognizing that all multiport devices are minimally complete, we first provide a general analytical framework to describe the tomographic accuracy (or quality) of these devices. Next, we show that a perfect multiport device with an infinite number of output ports functions as either the Fock-state measurement when photon losses are absent or binomial mixtures of Fock-state measurements when photon losses are present and derive their respective expressions for the tomographic transfer function. This function is the scaled asymptotic mean squared error of the reconstructed photon-number distributions uniformly averaged over all distributions in the probability simplex. We then supply more general analytical formulas for the transfer function for finite numbers of output ports in both the absence and presence of photon losses. The effects of photon losses on the photon-number resolving power of both infinite- and finite-size multiport devices are also investigated.

Item Type:Article
Uncontrolled Keywords:photon-number-resolving detectors; multiport devices; quantum optics; Fock states; quantum tomography; photon losses
Subjects:Sciences > Physics > Optics
ID Code:65343
Deposited On:24 May 2021 15:06
Last Modified:24 May 2021 16:25

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