Sampled-Data Design for Robust Control of a Single Qubit

被引：32
|
作者：
Dong, Daoyi [1 ,2 ]
Petersen, Ian R. [1 ]
Rabitz, Herschel [3 ]
机构：
[1] Univ New S Wales, Sch Engn & Informat Technol, Australian Def Force Acad, Canberra, ACT 2600, Australia
[2] Zhejiang Univ, State Key Lab Ind Control Technol, Hangzhou 310027, Peoples R China
[3] Princeton Univ, Dept Chem, Princeton, NJ 08544 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 10期
基金：
澳大利亚研究理事会;
关键词：
Open quantum system; quantum control; qubit; robust decoherence control; sampled-data design; 2-LEVEL QUANTUM-SYSTEMS; SLIDING MODE CONTROL; DECOHERENCE;
D O I：
10.1109/TAC.2013.2256017
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This technical note presents a sampled-data approach to the robust control of a single qubit (quantum bit). The required robustness is defined using a sliding mode domain and the control law is designed offline and then utilized online with a single qubit having bounded uncertainties. Two classes of uncertainties are considered involving the system Hamiltonian and the coupling strength of the system-environment interaction. Four cases are analyzed in detail including without decoherence, with amplitude damping decoherence, phase damping decoherence and depolarizing decoherence. Sampling periods are specifically designed for these cases to guarantee the required robustness. Two sufficient conditions are presented for the design of a unitary control for the cases without decoherence and with amplitude damping decoherence. The proposed approach has potential applications in quantum error-correction and in constructing robust quantum gates.
引用
收藏
页码：2654 / 2659
页数：6
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