Realistic photon-number resolution in Gaussian Boson Sampling
- URL: http://arxiv.org/abs/2403.03184v1
- Date: Tue, 5 Mar 2024 18:20:59 GMT
- Title: Realistic photon-number resolution in Gaussian Boson Sampling
- Authors: I. S. Yeremenko, M. A. Dmytruk, A. A. Semenov
- Abstract summary: Gaussian Boson Sampling (GBS) is the model of non-universal quantum computation.
We have derived the photocounting probability distribution in the GBS schemes.
We have considered a GBS validation technique involving detectors with realistic photon-number resolution.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Gaussian Boson Sampling (GBS) is the model of non-universal quantum
computation that has already demonstrated quantum supremacy in experiments.
This model entails sampling photocounting events from a multimode Gaussian
state at the outputs of a linear interferometer. In this scheme, collision
events -- those with more than one photon for each mode -- are infrequent.
However, they are still used for validation purposes. Therefore, the limitation
of realistic detectors to perfectly resolve adjacent photon numbers becomes
pivotal. We have derived the photocounting probability distribution in the GBS
schemes, which is applicable for use with general detectors and photocounting
techniques. This probability distribution is expressed in terms of functionals
of the field-quadrature covariance matrix -- e.g., Hafnian and Torontonian in
the well-known special cases of photon-number resolving and on-off detectors,
respectively. Based on our results, we have considered a GBS validation
technique involving detectors with realistic photon-number resolution.
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