Variational processing of multimode squeezed light

Fuente: arXiv
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Main Authors: Karnieli, Aviv, Mor, Paul-Alexis, Roques-Carmes, Charles, Lustig, Eran, Sloan, Jamison, Vučković, Jelena, Miller, David A. B., Fan, Shanhui
Format: Preprint
Published: 2025
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author Karnieli, Aviv
Mor, Paul-Alexis
Roques-Carmes, Charles
Lustig, Eran
Sloan, Jamison
Vučković, Jelena
Miller, David A. B.
Fan, Shanhui
author_facet Karnieli, Aviv
Mor, Paul-Alexis
Roques-Carmes, Charles
Lustig, Eran
Sloan, Jamison
Vučković, Jelena
Miller, David A. B.
Fan, Shanhui
contents Integrated multimode quantum optics is a promising platform for scalable continuous-variable quantum technologies leveraging multimode squeezing in both the spatial and spectral domains. However, on-chip measurement, routing and processing the relevant ``supermodes'' over which the squeezing resource is distributed still scales quadratically with the number of modes $N$, causing rapid increase in photonic circuit size and number of required measurements. Here, we introduce a variational scheme, relying on self-configuring photonic networks (SCN) that learns and extracts the most-squeezed supermodes sequentially, reducing both the circuit size and the experimental overhead. Using homodyne measurement as a cost function, a sparse SCN discovers the $l\ll N$ most significant supermodes using $O(lN)$ physical elements and optimization steps. We analyze and numerically simulate these architectures for both real-space and frequency-domain implementations, showing a fidelity close to unity between the learned circuit and the supermode decomposition, even in the presence of optical losses and detection noise. In the frequency domain, we show that circuit size can be further reduced by using inverse-designed surrogate networks, which emulate the layers learned thus far. Using two different frequency encoding schemes -- uniformly- and non-uniformly-spaced frequency bins -- we reduce an entire network (learning all $N$ supermodes) to $O(N)$ and even $O(1)$ modulated cavities. Our results point toward chip-scale, resource-efficient quantum processing units and demultiplexers for continuous variable processing in multimode quantum optics, with applications ranging from quantum communication, metrology, and computation.
format Preprint
id arxiv_https___arxiv_org_abs_2509_16753
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Variational processing of multimode squeezed light
Karnieli, Aviv
Mor, Paul-Alexis
Roques-Carmes, Charles
Lustig, Eran
Sloan, Jamison
Vučković, Jelena
Miller, David A. B.
Fan, Shanhui
Quantum Physics
Integrated multimode quantum optics is a promising platform for scalable continuous-variable quantum technologies leveraging multimode squeezing in both the spatial and spectral domains. However, on-chip measurement, routing and processing the relevant ``supermodes'' over which the squeezing resource is distributed still scales quadratically with the number of modes $N$, causing rapid increase in photonic circuit size and number of required measurements. Here, we introduce a variational scheme, relying on self-configuring photonic networks (SCN) that learns and extracts the most-squeezed supermodes sequentially, reducing both the circuit size and the experimental overhead. Using homodyne measurement as a cost function, a sparse SCN discovers the $l\ll N$ most significant supermodes using $O(lN)$ physical elements and optimization steps. We analyze and numerically simulate these architectures for both real-space and frequency-domain implementations, showing a fidelity close to unity between the learned circuit and the supermode decomposition, even in the presence of optical losses and detection noise. In the frequency domain, we show that circuit size can be further reduced by using inverse-designed surrogate networks, which emulate the layers learned thus far. Using two different frequency encoding schemes -- uniformly- and non-uniformly-spaced frequency bins -- we reduce an entire network (learning all $N$ supermodes) to $O(N)$ and even $O(1)$ modulated cavities. Our results point toward chip-scale, resource-efficient quantum processing units and demultiplexers for continuous variable processing in multimode quantum optics, with applications ranging from quantum communication, metrology, and computation.
title Variational processing of multimode squeezed light
topic Quantum Physics
url https://arxiv.org/abs/2509.16753