Machine learning assisted quantum state estimation
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Abstract (arXiv)
We build a general quantum state tomography framework that makes use of machine learning techniques to reconstruct quantum states from a given set of coincidence measurements. For a wide range of pure and mixed input states we demonstrate via simulations that our method produces functionally equivalent reconstructed states to that of traditional methods with the added benefit that expensive computations are front-loaded with our system. Further, by training our system with measurement results that include simulated noise sources we are able to demonstrate a significantly enhanced average fidelity when compared to typical reconstruction methods. These enhancements in average fidelity are also shown to persist when we consider state reconstruction from partial tomography data where several measurements are missing. We anticipate that the present results combining the fields of machine intelligence and quantum state estimation will greatly improve and speed up tomography-based quantum experiments.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Mar 2020.
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Citing papers per year: 2021: 4; 2022: 3; 2023: 5; 2024: 1.
13 papers.
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- 2023Multimodal deep representation learning for quantum cross-platform verificationcited by 9
- 2023Exponentially improved efficient machine learning for quantum many-body states with provable guaranteescited by 7
- 2023Tomography of Quantum States from Structured Measurements via quantum-aware transformercited by 7
- 2023Quantum State Tomography using Quantum Machine Learningcited by 7
- 2022Gradient-descent quantum process tomography by learning Kraus operatorscited by 6
- 2021Model-free prediction of emergence of extreme events in a parametrically driven nonlinear dynamical system by Deep Learningcited by 3
- 2021Quantum Pattern Recognition in Photonic Circuitscited by 3
- 2022Estimating the Euclidean quantum propagator with deep generative modeling of Feynman pathscited by 3
- 2024Optical Quantum Mixed-State Reconstruction With Multiple Deep Learning Approachescited by 3
- 2022Dimension-adaptive machine-learning-based quantum state reconstructioncited by 2
- 2021Improving application performance with biased distributions of quantum statescited by 1
- 2021Prediction of Occurrence of Extreme Events using Machine Learningcited by 1
1 more
- 2024Optical Quantum Mixed-State Reconstruction With Multiple Deep Learning Approaches1 Jul 2024
- 2023Multimodal deep representation learning for quantum cross-platform verification7 Nov 2023
- 2023Learning Informative Latent Representation for Quantum State Tomography30 Sep 2023
- 2023Quantum State Tomography using Quantum Machine Learning20 Aug 2023
- 2023Tomography of Quantum States from Structured Measurements via quantum-aware transformer9 May 2023
- 2023Exponentially improved efficient machine learning for quantum many-body states with provable guarantees10 Apr 2023
- 2022Gradient-descent quantum process tomography by learning Kraus operators1 Aug 2022
- 2022Dimension-adaptive machine-learning-based quantum state reconstruction11 May 2022
- 2022Estimating the Euclidean quantum propagator with deep generative modeling of Feynman paths6 Feb 2022
- 2021Prediction of Occurrence of Extreme Events using Machine Learning11 Oct 2021
- 2021Quantum Pattern Recognition in Photonic Circuits21 Jul 2021
- 2021Improving application performance with biased distributions of quantum states15 Jul 2021
- 2023Multimodal deep representation learning for quantum cross-platform verificationcited by 9
- 2023Exponentially improved efficient machine learning for quantum many-body states with provable guaranteescited by 7
- 2023Tomography of Quantum States from Structured Measurements via quantum-aware transformercited by 7
- 2023Quantum State Tomography using Quantum Machine Learningcited by 7
- 2022Gradient-descent quantum process tomography by learning Kraus operatorscited by 6
- 2021Model-free prediction of emergence of extreme events in a parametrically driven nonlinear dynamical system by Deep Learningcited by 3
- 2021Quantum Pattern Recognition in Photonic Circuitscited by 3
- 2022Estimating the Euclidean quantum propagator with deep generative modeling of Feynman pathscited by 3
- 2024Optical Quantum Mixed-State Reconstruction With Multiple Deep Learning Approachescited by 3
- 2022Dimension-adaptive machine-learning-based quantum state reconstructioncited by 2
- 2021Improving application performance with biased distributions of quantum statescited by 1
- 2021Prediction of Occurrence of Extreme Events using Machine Learningcited by 1
12 most cited of 13 All 13 (JSON)
- 2024Optical Quantum Mixed-State Reconstruction With Multiple Deep Learning Approaches1 Jul 2024
- 2023Multimodal deep representation learning for quantum cross-platform verification7 Nov 2023
- 2023Learning Informative Latent Representation for Quantum State Tomography30 Sep 2023
- 2023Quantum State Tomography using Quantum Machine Learning20 Aug 2023
- 2023Tomography of Quantum States from Structured Measurements via quantum-aware transformer9 May 2023
- 2023Exponentially improved efficient machine learning for quantum many-body states with provable guarantees10 Apr 2023
- 2022Gradient-descent quantum process tomography by learning Kraus operators1 Aug 2022
- 2022Dimension-adaptive machine-learning-based quantum state reconstruction11 May 2022
- 2022Estimating the Euclidean quantum propagator with deep generative modeling of Feynman paths6 Feb 2022
- 2021Prediction of Occurrence of Extreme Events using Machine Learning11 Oct 2021
- 2021Quantum Pattern Recognition in Photonic Circuits21 Jul 2021
- 2021Improving application performance with biased distributions of quantum states15 Jul 2021
12 newest of 13 All 13 (JSON)