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Lecture notes in electrical engineering

Achieving Photon Number Resolution with Linearly Multiplexed Single-Photon Detectors

Leonardo Limongi, Martino Bernard, Mirko Lobino, Alessandro Gaggero, Francesco Martini, F. Mattioli, Andrea Salamon

Published Jan 1, 2025• 0 citations
Publisher
DOI
10.1007/978-3-032-08271-8_45

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•Jan 1, 2011•0 citations
Photon-number-resolving detectors are needed for a variety of applications including linear-optics quantum computing. Here we describe the use of time-multiplexing techniques that allow ordinary single-photon detectors, such as silicon avalanche photodiodes, to be used as photon-number-resolving detectors. The ability of such a detector to correctly measure the number of photons for an incident number state is analyzed. The predicted results for an incident coherent state are found to be in good agreement with the results of a proof-of-principle experimental demonstration.
Common methods to achieve photon number resolution rely on fast on-off single-photon detectors in conjunction with temporal or spatial mode multiplexing. Yet, these methods suffer from an inherent trade-off between the efficiency of photon number discrimination and photon detection rate. Here, we introduce a method of photon number resolving detection that overcomes these limitations by replacing mode multiplexing with coherent absorption of a single optical mode in a distributed detector array. Distributed coherent absorption ensures complete and uniform absorption of light among the constituent detectors, enabling fast and efficient photon number resolution. As a proof-of-concept, we consider the case of a distributed array of superconducting nanowire single-photon detectors with realistic parameters and show that deterministic absorption and arbitrarily high photon number discrimination efficiency can be achieved by increasing the number of detectors in the array. Photon number resolution without optical mode multiplication provides a simple yet effective method to discriminate an arbitrary number of photons in large arrays of on-off detectors or in smaller arrays of mode multiplexed detectors.
The conventional optical detectors operate in a linear mode, but their sensitivity is limited due to the noise in the readout electronics. Single photon detectors, on the other hand, have the highest sensitivity, but are strongly nonlinear. Photon number resolving detectors, which can precisely determine the number of photons in weak optical pulses, are potential candidates to fill the gap between these two detection modes. We present the design of photon number resolving detectors with large dynamic range, based on spatial multiplexing of superconducting single photon detectors, with excellent timing resolution and very high sensitivity at the telecommunication wavelength range.