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Enhancing the precision of phase estimation by weak measurement and quantum measurement reversal

贺志, 姚春梅

中国物理B：英文版Jan 1, 20140 citations

Enhancing the Precision of Phase Estimation by Weak Measurement and Quantum Measurement Reversal in High Dimensional Quantum System

Qiong Wang, Zhi He

International Journal of Theoretical PhysicsOct 9, 201810 citations

Stabilization and feedback control of weak measurement monitored quantum oscillators

Hermann Uys, Pieter du Toit, S. C. Burd +1 more

Bulletin of the American Physical SocietyMay 24, 20160 citations

Real-time state estimation and feedback control of an oscillating qubit via self-fulfilling prophecy (SFP)

Pieter du Toit, S. C. Burd, Thomas Konrad +1 more

Abstract We present protocols for feedback control and stabilization of a single qubit undergoing Rabi oscillations. Using a hybrid quantum-classical Bayesian estimation technique we simulate monitoring of the dynamical parameter (Rabi frequency) of the governing Hamiltonian in real-time. We numerically demonstrate feedback control of the system parameter using a classical proportional-integral feedback control scheme and show that by implementing a unitary reversal of the back-action of the weak measurement the loop response time is dramatically reduced. This reversal is chosen by assuming the system is already executing the targeted dynamics, an approach called self-fulfilling prophecy . In addition, self-fulfilling prophecy reduces measurement induced noise, leading to stabilized dynamics.Abstract We present protocols for feedback control and stabilization of a single qubit undergoing Rabi oscillations. Using a hybrid quantum-classical Bayesian estimation technique we simulate monitoring of the dynamical parameter (Rabi frequency) of the governing Hamiltonian in real-time. We numerically demonstrate feedback control of the system parameter using a classical proportional-integral feedback control scheme and show that by implementing a unitary reversal of the back-action of the weak measurement the loop response time is dramatically reduced. This reversal is chosen by assuming the system is already executing the targeted dynamics, an approach called self-fulfilling prophecy . In addition, self-fulfilling prophecy reduces measurement induced noise, leading to stabilized dynamics.

MetrologiaDec 11, 20183 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.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.

EntropyJul 31, 20196 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 proposedIn 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, 20190 citations

Quantum state estimation and feedback control aided by weak measurement reversal

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