Real-time parameter estimation for two-qubit systems based on hybrid
control
- URL: http://arxiv.org/abs/2401.03513v1
- Date: Sun, 7 Jan 2024 15:03:46 GMT
- Title: Real-time parameter estimation for two-qubit systems based on hybrid
control
- Authors: Yue Tian, Xiujuan Lu, Sen Kuang and Daoyi Dong
- Abstract summary: We consider the real-time parameter estimation problem for a ZZ-coupled system composed of two qubits in the presence of spontaneous emission.
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.
- Score: 5.026348938624301
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
Related papers
- Generation of C-NOT, SWAP, and C-Z Gates for Two Qubits Using Coherent
and Incoherent Controls and Stochastic Optimization [56.47577824219207]
We consider a general form of the dynamics of open quantum systems determined by the Gorini-Kossakowsky-Sudarchhan-Lindblad type master equation.
We analyze the control problems of generating two-qubit C-NOT, SWAP, and C-Z gates using piecewise constant controls and optimization.
arXiv Detail & Related papers (2023-12-09T17:55:47Z) - Optimal Control Strategies for Parameter Estimation of Quantum Systems [0.0]
We describe the similarities, differences, and advantages of two approaches to optimal control theory.
We show that the control mechanisms are generally equivalent, except when the decoherence is not negligible.
In this latter case, the precision achieved with selective controls can be several orders of magnitude better than that given by the QFI.
arXiv Detail & Related papers (2023-06-19T07:09:05Z) - Optimal State Manipulation for a Two-Qubit System Driven by Coherent and
Incoherent Controls [77.34726150561087]
State preparation is important for optimal control of two-qubit quantum systems.
We exploit two physically different coherent control and optimize the Hilbert-Schmidt target density matrices.
arXiv Detail & Related papers (2023-04-03T10:22:35Z) - Optimal control for state preparation in two-qubit open quantum systems
driven by coherent and incoherent controls via GRAPE approach [77.34726150561087]
We consider a model of two qubits driven by coherent and incoherent time-dependent controls.
The dynamics of the system is governed by a Gorini-Kossakowski-Sudarshan-Lindblad master equation.
We study evolution of the von Neumann entropy, purity, and one-qubit reduced density matrices under optimized controls.
arXiv Detail & Related papers (2022-11-04T15:20:18Z) - On optimization of coherent and incoherent controls for two-level
quantum systems [77.34726150561087]
This article considers some control problems for closed and open two-level quantum systems.
The closed system's dynamics is governed by the Schr"odinger equation with coherent control.
The open system's dynamics is governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equation.
arXiv Detail & Related papers (2022-05-05T09:08:03Z) - Optimal control for Hamiltonian parameter estimation in non-commuting
and bipartite quantum dynamics [0.0]
We extend optimally controlled estimation schemes for single qubits to non-commuting dynamics as well as two interacting qubits.
These schemes demonstrate improvements in terms of maximal precision, time-stability, as well as robustness over uncontrolled protocols.
arXiv Detail & Related papers (2022-05-05T04:10:17Z) - Optimal solutions to quantum annealing using two independent control
functions [0.0]
We show that an optimal solution consists of both controls tuned at their upper bound for the whole evolution time.
We propose the use of a quantum optimal control technique adapted to limit the amplitude of the controls.
We show that the scheme with two-control functions yields a higher fidelity than the other schemes for the same evolution time.
arXiv Detail & Related papers (2021-10-26T16:54:17Z) - An Artificial Neural Network-Based Model Predictive Control for
Three-phase Flying Capacitor Multi-Level Inverter [2.3513645401551333]
Model predictive control (MPC) has been used widely in power electronics due to its simple concept, fast dynamic response, and good reference tracking.
It suffers from parametric uncertainties, since it relies on the mathematical model of the system to predict the optimal switching states.
This paper offers a model-free control strategy on the basis of artificial neural networks (ANNs)
arXiv Detail & Related papers (2021-10-15T13:54:08Z) - Numerical estimation of reachable and controllability sets for a
two-level open quantum system driven by coherent and incoherent controls [77.34726150561087]
The article considers a two-level open quantum system governed by the Gorini--Kossakowski--Lindblad--Sudarshan master equation.
The system is analyzed using Bloch parametrization of the system's density matrix.
arXiv Detail & Related papers (2021-06-18T14:23:29Z) - Gaussian Process-based Min-norm Stabilizing Controller for
Control-Affine Systems with Uncertain Input Effects and Dynamics [90.81186513537777]
We propose a novel compound kernel that captures the control-affine nature of the problem.
We show that this resulting optimization problem is convex, and we call it Gaussian Process-based Control Lyapunov Function Second-Order Cone Program (GP-CLF-SOCP)
arXiv Detail & Related papers (2020-11-14T01:27:32Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.