Dissipative Variational Quantum Algorithms for Gibbs State Preparation

In recent years, variational quantum algorithms have gained significant attention due to their adaptability and efficiency on near-term quantum hardware. They have shown potential in a variety of tasks, including linear algebra, search problems, Gibbs, and ground state preparation. Nevertheless, the...

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Main Authors: Yigal Ilin, Itai Arad
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Transactions on Quantum Engineering
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Online Access:https://ieeexplore.ieee.org/document/10777530/
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author Yigal Ilin
Itai Arad
author_facet Yigal Ilin
Itai Arad
author_sort Yigal Ilin
collection DOAJ
description In recent years, variational quantum algorithms have gained significant attention due to their adaptability and efficiency on near-term quantum hardware. They have shown potential in a variety of tasks, including linear algebra, search problems, Gibbs, and ground state preparation. Nevertheless, the presence of noise in current day quantum hardware severely limits their performance. In this work, we introduce dissipative variational quantum algorithms (D-VQAs) by incorporating dissipative operations, such as qubit RESET and stochastic gates, as an intrinsic part of a variational quantum circuit. We argue that such dissipative variational algorithms possess some natural resilience to dissipative noise. We demonstrate how such algorithms can prepare Gibbs states over a wide range of quantum many-body Hamiltonians and temperatures, while significantly reducing errors due to both coherent and noncoherent noise. An additional advantage of our approach is that no ancilla qubits are need. Our results highlight the potential of D-VQAs to enhance the robustness and accuracy of variational quantum computations on noisy intermediate-scale quantum (NISQ) devices.
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publisher IEEE
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spelling doaj-art-117c7397a1244c2a9180a097d92eec752025-08-20T02:52:58ZengIEEEIEEE Transactions on Quantum Engineering2689-18082025-01-01611210.1109/TQE.2024.351141910777530Dissipative Variational Quantum Algorithms for Gibbs State PreparationYigal Ilin0https://orcid.org/0000-0001-9239-6679Itai Arad1https://orcid.org/0009-0005-5481-6333Andrew and Erna Viterbi Department of Electrical and Computer Engineering, Technion—Israel Institute of Technology, Haifa, IsraelCentre for Quantum Technologies, National University of Singapore, SingaporeIn recent years, variational quantum algorithms have gained significant attention due to their adaptability and efficiency on near-term quantum hardware. They have shown potential in a variety of tasks, including linear algebra, search problems, Gibbs, and ground state preparation. Nevertheless, the presence of noise in current day quantum hardware severely limits their performance. In this work, we introduce dissipative variational quantum algorithms (D-VQAs) by incorporating dissipative operations, such as qubit RESET and stochastic gates, as an intrinsic part of a variational quantum circuit. We argue that such dissipative variational algorithms possess some natural resilience to dissipative noise. We demonstrate how such algorithms can prepare Gibbs states over a wide range of quantum many-body Hamiltonians and temperatures, while significantly reducing errors due to both coherent and noncoherent noise. An additional advantage of our approach is that no ancilla qubits are need. Our results highlight the potential of D-VQAs to enhance the robustness and accuracy of variational quantum computations on noisy intermediate-scale quantum (NISQ) devices.https://ieeexplore.ieee.org/document/10777530/Dissipative quantum gatesGibbs statesnoisy intermediate-scale quantum (NISQ) hardwarequantum computingquantum error mitigationquantum noise resilience
spellingShingle Yigal Ilin
Itai Arad
Dissipative Variational Quantum Algorithms for Gibbs State Preparation
IEEE Transactions on Quantum Engineering
Dissipative quantum gates
Gibbs states
noisy intermediate-scale quantum (NISQ) hardware
quantum computing
quantum error mitigation
quantum noise resilience
title Dissipative Variational Quantum Algorithms for Gibbs State Preparation
title_full Dissipative Variational Quantum Algorithms for Gibbs State Preparation
title_fullStr Dissipative Variational Quantum Algorithms for Gibbs State Preparation
title_full_unstemmed Dissipative Variational Quantum Algorithms for Gibbs State Preparation
title_short Dissipative Variational Quantum Algorithms for Gibbs State Preparation
title_sort dissipative variational quantum algorithms for gibbs state preparation
topic Dissipative quantum gates
Gibbs states
noisy intermediate-scale quantum (NISQ) hardware
quantum computing
quantum error mitigation
quantum noise resilience
url https://ieeexplore.ieee.org/document/10777530/
work_keys_str_mv AT yigalilin dissipativevariationalquantumalgorithmsforgibbsstatepreparation
AT itaiarad dissipativevariationalquantumalgorithmsforgibbsstatepreparation