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Main Authors: Tian, Yue, Lu, Xiujuan, Kuang, Sen, Dong, Daoyi
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.03513
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author Tian, Yue
Lu, Xiujuan
Kuang, Sen
Dong, Daoyi
author_facet Tian, Yue
Lu, Xiujuan
Kuang, Sen
Dong, Daoyi
contents In this paper, we consider the real-time parameter estimation problem for a ZZ-coupled system composed of two qubits in the presence of spontaneous emission. To enhance the estimation precision of the coupling coefficient, we first propose two different control schemes, where the first one is feedback control based on quantum-jump detection, and the second one is hybrid control combining Markovian feedback and Hamiltonian control. The simulation results show that compared with free evolution, both control schemes can improve parameter precision and extend system coherence time. Next, on the basis of the two control schemes, we propose a practical single-parameter quantum recovery protocol based on Bayesian estimation theory. In this protocol, by employing batch-style adaptive measurement rules, parameter recovery is conducted to verify the effectiveness of both control schemes.
format Preprint
id arxiv_https___arxiv_org_abs_2401_03513
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Real-time parameter estimation for two-qubit systems based on hybrid control
Tian, Yue
Lu, Xiujuan
Kuang, Sen
Dong, Daoyi
Quantum Physics
In this paper, we consider the real-time parameter estimation problem for a ZZ-coupled system composed of two qubits in the presence of spontaneous emission. To enhance the estimation precision of the coupling coefficient, we first propose two different control schemes, where the first one is feedback control based on quantum-jump detection, and the second one is hybrid control combining Markovian feedback and Hamiltonian control. The simulation results show that compared with free evolution, both control schemes can improve parameter precision and extend system coherence time. Next, on the basis of the two control schemes, we propose a practical single-parameter quantum recovery protocol based on Bayesian estimation theory. In this protocol, by employing batch-style adaptive measurement rules, parameter recovery is conducted to verify the effectiveness of both control schemes.
title Real-time parameter estimation for two-qubit systems based on hybrid control
topic Quantum Physics
url https://arxiv.org/abs/2401.03513