Quantum process tomography of structured optical gates with convolutional neural networks

Fuente: arXiv
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Main Authors: Jaouni, Tareq, Di Colandrea, Francesco, Amato, Lorenzo, Cardano, Filippo, Karimi, Ebrahim
Format: Preprint
Published: 2024
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author Jaouni, Tareq
Di Colandrea, Francesco
Amato, Lorenzo
Cardano, Filippo
Karimi, Ebrahim
author_facet Jaouni, Tareq
Di Colandrea, Francesco
Amato, Lorenzo
Cardano, Filippo
Karimi, Ebrahim
contents The characterization of a unitary gate is experimentally accomplished via Quantum Process Tomography, which combines the outcomes of different projective measurements to reconstruct the underlying operator. The process matrix is typically extracted from maximum-likelihood estimation. Recently, optimization strategies based on evolutionary and machine-learning techniques have been proposed. Here, we investigate a deep-learning approach that allows for fast and accurate reconstructions of space-dependent SU(2) operators, only processing a minimal set of measurements. We train a convolutional neural network based on a scalable U-Net architecture to process entire experimental images in parallel. Synthetic processes are reconstructed with average fidelity above 90%. The performance of our routine is experimentally validated on complex polarization transformations. Our approach further expands the toolbox of data-driven approaches to Quantum Process Tomography and shows promise in the real-time characterization of complex optical gates.
format Preprint
id arxiv_https___arxiv_org_abs_2402_16616
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum process tomography of structured optical gates with convolutional neural networks
Jaouni, Tareq
Di Colandrea, Francesco
Amato, Lorenzo
Cardano, Filippo
Karimi, Ebrahim
Quantum Physics
The characterization of a unitary gate is experimentally accomplished via Quantum Process Tomography, which combines the outcomes of different projective measurements to reconstruct the underlying operator. The process matrix is typically extracted from maximum-likelihood estimation. Recently, optimization strategies based on evolutionary and machine-learning techniques have been proposed. Here, we investigate a deep-learning approach that allows for fast and accurate reconstructions of space-dependent SU(2) operators, only processing a minimal set of measurements. We train a convolutional neural network based on a scalable U-Net architecture to process entire experimental images in parallel. Synthetic processes are reconstructed with average fidelity above 90%. The performance of our routine is experimentally validated on complex polarization transformations. Our approach further expands the toolbox of data-driven approaches to Quantum Process Tomography and shows promise in the real-time characterization of complex optical gates.
title Quantum process tomography of structured optical gates with convolutional neural networks
topic Quantum Physics
url https://arxiv.org/abs/2402.16616