Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1808.10759 · Science China Information Sciences

On-line quantum state estimation using continuous weak measurement and compressed sensing

Shuang Cong, Yaru Tang, Sajede Harraz, Kezhi Li, Jingbei Yang

Published Jun 2, 2020• 13 citations
arXivHTMLPDF
DOI
10.1007/s11432-018-9793-2

Related papers

Quantum process estimation via compressed sensing with convex optimization

Charles H. Baldwin, Amir Kalev, Ivan Deutsch

Bulletin of the American Physical Society•Mar 6, 2014•0 citations

On-Line State Estimation of 2-qubit Quantum Systems

Yaru Tang, Shuang Cong

In this paper, the online estimation of 2-qubit states is studied based on the quantum continuous weak measurement and compressed sensing (CS) theory. The stochastic master equation is used to describe the dynamic evolution of the system. The weak measurement operator acting on the system and the dynamic equation of the measurement operator over time are derived. The number of measurements is reduced based on the CS theory. The non-negative LS algorithm is used to reconstruct the quantum system state in free evolution. At last, the numerical simulations of the on-line state estimation of 2-qubit quantum systems are carried out in MATLAB environment, and the influences of the parameters on the estimation results are analyzed by the performance comparisons.

Mediterranean Conference on Control and Automation (MED)•Jul 1, 2019•0 citations

Compressed Sensing for Reconstructing Sparse Quantum States

Kenneth Rudinger, Robert Joynt

Bulletin of the American Physical Society•Mar 6, 2014•0 citations

State Transfer via On-Line State Estimation and Lyapunov-Based Feedback Control for a N-Qubit System

Sajede Harraz, Shuang Cong

In this paper, we propose a Lyapunov-based state feedback control for state transfer based on the on-line quantum state estimation (OQSE). The OQSE is designed based on continuous weak measurements and compressed sensing. The controlled system is described by quantum master equation for open quantum systems, and the continuous measurement operators are derived according to the dynamic equation of system. The feedback control law is designed based on the Lyapunov stability theorem, and a strict proof of proposed control laws are given. At each sampling time, the state is estimated on-line, which is used to design the control law. The simulation experimental results show the effectiveness of the proposed feedback control strategy.

Entropy•Jul 31, 2019•6 citations

Realization of adaptive quantum state estimation for dynamic quantum states

Saki Nohara, Ryo Okamoto, Akio Fujiwara +1 more

The Japan Society of Applied Physics•Jul 10, 2019•0 citations

Quantum State Feedback Control Based on the on-line State Estimation

Yaru Tang, Shuang Cong

In this paper the state of Markovian open quantum system is estimated on-line based on the continuous weak measurement and compression sensing theory, and a quantum Lyapunov feedback control law is designed to transfer the state from the initial state to the desired target state based on the state estimated on-line. Numerical simulation experiments are implemented under MATLAB environment. The experimental results show the effectiveness of the on-line estimated state-based feedback control method proposed

International Conference on Software and Information Engineering (ICSIE)•Apr 9, 2019•0 citations
In this paper, the online estimation of 2-qubit states is studied based on the quantum continuous weak measurement and compressed sensing (CS) theory. The stochastic master equation is used to describe the dynamic evolution of the system. The weak measurement operator acting on the system and the dynamic equation of the measurement operator over time are derived. The number of measurements is reduced based on the CS theory. The non-negative LS algorithm is used to reconstruct the quantum system state in free evolution. At last, the numerical simulations of the on-line state estimation of 2-qubit quantum systems are carried out in MATLAB environment, and the influences of the parameters on the estimation results are analyzed by the performance comparisons.
In this paper, we propose a Lyapunov-based state feedback control for state transfer based on the on-line quantum state estimation (OQSE). The OQSE is designed based on continuous weak measurements and compressed sensing. The controlled system is described by quantum master equation for open quantum systems, and the continuous measurement operators are derived according to the dynamic equation of system. The feedback control law is designed based on the Lyapunov stability theorem, and a strict proof of proposed control laws are given. At each sampling time, the state is estimated on-line, which is used to design the control law. The simulation experimental results show the effectiveness of the proposed feedback control strategy.
In this paper the state of Markovian open quantum system is estimated on-line based on the continuous weak measurement and compression sensing theory, and a quantum Lyapunov feedback control law is designed to transfer the state from the initial state to the desired target state based on the state estimated on-line. Numerical simulation experiments are implemented under MATLAB environment. The experimental results show the effectiveness of the on-line estimated state-based feedback control method proposed