Optimal Lyapunov quantum control of two-level systems: Convergence and extended techniques

L. C. Wang; S. C. Hou; X. X. Yi; Daoyi Dong; Ian R. Petersen

doi:10.1016/j.physleta.2014.02.027

Optimal Lyapunov quantum control of two-level systems: Convergence and extended techniques

L. C. Wang^*, S. C. Hou, X. X. Yi, Daoyi Dong, Ian R. Petersen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

Taking a two-level system as an example, we show that a strong control field may enhance the efficiency of optimal Lyapunov quantum control but could decrease its control fidelity. A relationship between the strength of the control field and the control fidelity is established. An extended technique, which combines free evolution and external control, is proposed to improve the control fidelity. We analytically demonstrate that the extended technique can be used to design a control law for steering a two-level system exactly to one predetermined eigenstate of the free Hamiltonian. In such a way, the convergence of the extended optimal Lyapunov quantum control can be guaranteed.

Original language	English
Pages (from-to)	1074-1080
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	378
Issue number	16-17
DOIs	https://doi.org/10.1016/j.physleta.2014.02.027
Publication status	Published - 14 Mar 2014
Externally published	Yes

Access to Document

10.1016/j.physleta.2014.02.027

Cite this

@article{26237dbe794342c78750390b83c4ed8b,

title = "Optimal Lyapunov quantum control of two-level systems: Convergence and extended techniques",

abstract = "Taking a two-level system as an example, we show that a strong control field may enhance the efficiency of optimal Lyapunov quantum control but could decrease its control fidelity. A relationship between the strength of the control field and the control fidelity is established. An extended technique, which combines free evolution and external control, is proposed to improve the control fidelity. We analytically demonstrate that the extended technique can be used to design a control law for steering a two-level system exactly to one predetermined eigenstate of the free Hamiltonian. In such a way, the convergence of the extended optimal Lyapunov quantum control can be guaranteed.",

keywords = "Lyapunov quantum control, Two-level system",

author = "Wang, {L. C.} and Hou, {S. C.} and Yi, {X. X.} and Daoyi Dong and Petersen, {Ian R.}",

year = "2014",

month = mar,

day = "14",

doi = "10.1016/j.physleta.2014.02.027",

language = "English",

volume = "378",

pages = "1074--1080",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "16-17",

}

TY - JOUR

T1 - Optimal Lyapunov quantum control of two-level systems

T2 - Convergence and extended techniques

AU - Wang, L. C.

AU - Hou, S. C.

AU - Yi, X. X.

AU - Dong, Daoyi

AU - Petersen, Ian R.

PY - 2014/3/14

Y1 - 2014/3/14

N2 - Taking a two-level system as an example, we show that a strong control field may enhance the efficiency of optimal Lyapunov quantum control but could decrease its control fidelity. A relationship between the strength of the control field and the control fidelity is established. An extended technique, which combines free evolution and external control, is proposed to improve the control fidelity. We analytically demonstrate that the extended technique can be used to design a control law for steering a two-level system exactly to one predetermined eigenstate of the free Hamiltonian. In such a way, the convergence of the extended optimal Lyapunov quantum control can be guaranteed.

AB - Taking a two-level system as an example, we show that a strong control field may enhance the efficiency of optimal Lyapunov quantum control but could decrease its control fidelity. A relationship between the strength of the control field and the control fidelity is established. An extended technique, which combines free evolution and external control, is proposed to improve the control fidelity. We analytically demonstrate that the extended technique can be used to design a control law for steering a two-level system exactly to one predetermined eigenstate of the free Hamiltonian. In such a way, the convergence of the extended optimal Lyapunov quantum control can be guaranteed.

KW - Lyapunov quantum control

KW - Two-level system

UR - http://www.scopus.com/inward/record.url?scp=84897028424&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2014.02.027

DO - 10.1016/j.physleta.2014.02.027

M3 - Article

SN - 0375-9601

VL - 378

SP - 1074

EP - 1080

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 16-17

ER -

Optimal Lyapunov quantum control of two-level systems: Convergence and extended techniques

Abstract

Access to Document

Other files and links

Fingerprint

Cite this