Threshold detection statistics of bosonic states
- URL: http://arxiv.org/abs/2202.04600v2
- Date: Wed, 9 Nov 2022 12:18:51 GMT
- Title: Threshold detection statistics of bosonic states
- Authors: Jacob F. F. Bulmer, Stefano Paesani, Rachel S. Chadwick, Nicol\'as
Quesada
- Abstract summary: In quantum photonics, threshold detectors are routinely used to measure Fock and Gaussian states of light.
Despite being the standard measurement scheme, there is no general closed form expression for measurement probabilities with threshold detectors.
Here, we present new matrix functions to fill this gap.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In quantum photonics, threshold detectors, distinguishing between vacuum and
one or more photons, such as superconducting nanowires and avalanche
photodiodes, are routinely used to measure Fock and Gaussian states of light.
Despite being the standard measurement scheme, there is no general closed form
expression for measurement probabilities with threshold detectors, unless
accepting coarse approximations or combinatorially scaling summations. Here, we
present new matrix functions to fill this gap. We develop the Bristolian and
the loop Torontonian functions for threshold detection of Fock and displaced
Gaussian states, respectively, and connect them to each other and to existing
matrix functions. By providing a unified picture of bosonic statistics for most
quantum states of light, we provide novel tools for the design and analysis of
photonic quantum technologies.
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