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The Fermi-Hubbard model is the starting point for the simulation of many strongly correlated materials, including high-temperature superconductors, whose modelling is a key motivation for the construction of quantum simulation and computing…

In the design of complex quantum systems like ion traps for quantum computing, it is usually desired to stabilize a particular system state or make the system state track a desired trajectory. Several control theoretical approaches based on…

系统与控制 · 计算机科学 2012-11-26 K. P. Nagarjun , S. Sivaranjani , George Koshy

Rapid state control of quantum systems is significant in reducing the influence of relaxation or decoherence caused by the environment and enhancing the capability in dealing with uncertainties in the model and control process. Bang-bang…

量子物理 · 物理学 2017-06-07 Sen Kuang , Daoyi Dong , Ian R. Petersen

Quantum Lyapunov control was developed in order to transform a quantum system from arbitrary initial states to a target state. The idea is to find control fields that steer the Lyapunov function to zero as $t\rightarrow \infty$, meanwhile…

量子物理 · 物理学 2013-05-30 S. C. Hou , M. A. Khan , Daoyi Dong , Ian R. Petersen , X. X. Yi

We theoretically investigate and experimentally demonstrate a procedure for conditional control and enhancement of an interferometric coupling between two qubits encoded into states of bosonic particles. Our procedure combines local…

量子物理 · 物理学 2017-01-20 R. Stárek , M. Mičuda , I. Straka , M. Miková , M. Ježek , R. Filip , J. Fiurášek

The purpose of this paper is to investigate the coherent feedback $H^\infty$ control problem for linear quantum systems. A key contribution is a simplified design methodology that guarantees closed-loop stability and a prescribed level of…

量子物理 · 物理学 2026-04-09 Guofeng Zhang , Ian R. Petersen

A Lyapunov-based method is presented for stabilizing and controlling of closed quantum systems. The proposed method is constructed upon a novel quantum Lyapunov function of the system state trajectory tracking error. A positive-definite…

量子物理 · 物理学 2021-02-02 Elham Jamalinia , Peyman Azodi , Alireza Khayatian , Peyman Setoodeh

For a double quantum dot (DQD) system, here we propose alternative ultrafast manipulate approach: Lyapunov control method, to transfer the state from R to L on the picosecond scale, orders of magnitude faster and transfer probability higher…

量子物理 · 物理学 2015-11-12 Shuang Cong , Ming-yong Gao , Long-zhen Hu , Guo-ping Guo , Gang Cao , Guang-can Guo

We describe optimized coherent control methods for two-photon transitions in atoms of a ladder-type three-state energy configuration. Our approach is based on the spatial coherent control scheme which utilizes counter-propagating ultrashort…

原子物理 · 物理学 2015-10-28 Woojun Lee , Hyosub Kim , Kyungtae Kim , Jaewook Ahn

The Hubbard model provides a simple framework in which one can study how certain aspects of the electronic structure of strongly interacting systems can be tuned to optimize the superconducting pairing correlations and how these changes…

超导电性 · 物理学 2022-03-02 Thomas A. Maier , Elbio Dagotto

Within the quantum field-theoretical approach describing the evolution of a quadratic Liouvillian in the basis of Keldysh contour coherent states, we investigate the spectral and transport properties of a dissipative superconducting system…

介观与纳米尺度物理 · 物理学 2026-02-17 S. V. Aksenov , M. S. Shustin , I. S. Burmistrov

In recent quantum algorithmic developments, a feedback-based approach has shown promise for preparing quantum many-body system ground states and solving combinatorial optimization problems. This method utilizes quantum Lyapunov control to…

We propose a theoretical scheme to realize the controllable non-Hermitian qubit-qubit coupling by adding a high-loss resonator in tunable coupling superconducting quantum circuit. By changing the effective qubit-qubit coupling, phase and…

量子物理 · 物理学 2024-12-18 Hui Wang , Yan-Jun Zhao , Xun-Wei Xu

We discuss superconducting pairing in a narrow conduction band sandwiched between unoccupied and occupied bands, an arrangement that enables an unconventional pairing mechanism governed by Coulomb repulsion. Pairing interaction originates…

超导电性 · 物理学 2021-03-30 Zhiyu Dong , Leonid Levitov

Taking a two-level system as an example, we show that a strong control field may enhance the efficiency of optimal Lyapunov quantum control in [Hou et al., Phys. Rev. A \textbf{86}, 022321 (2012)] but could decrease its control fidelity. A…

量子物理 · 物理学 2013-06-05 L. C. Wang , S. C. Hou , X. X. Yi , Daoyi Dong , Ian R. Petersen

As a hybrid of techniques from open-loop and feedback control, Lyapunov control has the advantage that it is free from the measurement-induced decoherence but it includes the system's instantaneous message in the control loop. Often, the…

量子物理 · 物理学 2015-05-27 X. X. Yi , S. L. Wu , Chunfeng Wu , X. L. Feng , C. H. Oh

We introduce a quantum algorithm integrating counterdiabatic (CD) protocols with quantum Lyapunov control (QLC) to tackle combinatorial optimization problems. This approach offers versatility, allowing implementation as either a…

量子物理 · 物理学 2024-09-20 Pranav Chandarana , Koushik Paul , Kasturi Ranjan Swain , Xi Chen , Adolfo del Campo

We show how to generate and control the correlations in a set of two distant quantum emitters coupled to a one-dimensional dissipative plasmonic waveguide. An external laser field enhances the dimer's steady-state correlations and allows an…

量子物理 · 物理学 2014-07-16 C. E. Susa , J. H. Reina , R. Hildner

We present a detailed analysis of the convergence properties of Lyapunov control for finite-dimensional quantum systems based on the application of the LaSalle invariance principle and stability analysis from dynamical systems and control…

量子物理 · 物理学 2012-02-14 Xiaoting Wang , Sonia G. Schirmer

We present detailed analysis of the convergence properties and effectiveness of Lyapunov control design for bilinear Hamiltonian quantum systems based on the application of LaSalle's invariance principle and stability analysis from…

量子物理 · 物理学 2009-10-01 Xiaoting Wang , Sonia Schirmer
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