Enhancing quantum state tomography via resource-efficient attention-based neural networks

Fuente: arXiv
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Auteurs principaux: Palmieri, Adriano Macarone, Müller-Rigat, Guillem, Srivastava, Anubhav Kumar, Lewenstein, Maciej, Rajchel-Mieldzioć, Grzegorz, Płodzień, Marcin
Format: Preprint
Publié: 2023
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author Palmieri, Adriano Macarone
Müller-Rigat, Guillem
Srivastava, Anubhav Kumar
Lewenstein, Maciej
Rajchel-Mieldzioć, Grzegorz
Płodzień, Marcin
author_facet Palmieri, Adriano Macarone
Müller-Rigat, Guillem
Srivastava, Anubhav Kumar
Lewenstein, Maciej
Rajchel-Mieldzioć, Grzegorz
Płodzień, Marcin
contents Resource-efficient quantum state tomography is one of the key ingredients of future quantum technologies. In this work, we propose a new tomography protocol combining standard quantum state reconstruction methods with an attention-based neural network architecture. We show how the proposed protocol is able to improve the averaged fidelity reconstruction over linear inversion and maximum-likelihood estimation in the finite-statistics regime, reducing at least by an order of magnitude the amount of necessary training data. We demonstrate the potential use of our protocol in physically relevant scenarios, in particular, to certify metrological resources in the form of many-body entanglement generated during the spin squeezing protocols. This could be implemented with the current quantum simulator platforms, such as trapped ions, and ultra-cold atoms in optical lattices.
format Preprint
id arxiv_https___arxiv_org_abs_2309_10616
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Enhancing quantum state tomography via resource-efficient attention-based neural networks
Palmieri, Adriano Macarone
Müller-Rigat, Guillem
Srivastava, Anubhav Kumar
Lewenstein, Maciej
Rajchel-Mieldzioć, Grzegorz
Płodzień, Marcin
Quantum Physics
Quantum Gases
Resource-efficient quantum state tomography is one of the key ingredients of future quantum technologies. In this work, we propose a new tomography protocol combining standard quantum state reconstruction methods with an attention-based neural network architecture. We show how the proposed protocol is able to improve the averaged fidelity reconstruction over linear inversion and maximum-likelihood estimation in the finite-statistics regime, reducing at least by an order of magnitude the amount of necessary training data. We demonstrate the potential use of our protocol in physically relevant scenarios, in particular, to certify metrological resources in the form of many-body entanglement generated during the spin squeezing protocols. This could be implemented with the current quantum simulator platforms, such as trapped ions, and ultra-cold atoms in optical lattices.
title Enhancing quantum state tomography via resource-efficient attention-based neural networks
topic Quantum Physics
Quantum Gases
url https://arxiv.org/abs/2309.10616