Photonic quantum information processing using the frequency continuous-variable of single photons

• URL: http://arxiv.org/abs/2402.06962v2
• Date: Wed, 26 Jun 2024 11:58:55 GMT
• Title: Photonic quantum information processing using the frequency continuous-variable of single photons
• Authors: Nicolas Fabre, Ulysse Chabaud,
• Abstract summary: We show that the richness of two-photon interferometry extends to the realm of time-frequency interferometry. We introduce an interferometric strategy using a frequency engineered two-photon state allowing to reach Heisenberg scaling for phase estimation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The celebrated Hong--Ou--Mandel effect illustrates the richness of two-photon interferometry. In this work, we show that this richness extends to the realm of time-frequency interferometry. Taking advantage of the mathematical analogy which can be drawn between the frequency and quadrature degrees of freedom of light when there is a single photon in each auxiliary mode, we consider the equivalent of the Hong--Ou--Mandel effect in the frequency domain. In this setting, the $n$-Fock state becomes equivalent to a single-photon state with a spectral wave function given by the $n^{th}$ Hermite--Gauss function and destructive interference corresponds to vanishing probability of detecting single photons with an order one Hermite--Gauss spectral profile. This intriguing analogy leads us to introduce an interferometric strategy using a frequency engineered two-photon state allowing to reach Heisenberg scaling for phase estimation, and to generalise the Gaussian Boson Sampling model to time-frequency degrees of freedom of single photons.

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