Manipulations between eigenstates of 2-level quantum system based on optimal measurements

Jingbei Yang; Shuang Cong; Feng Shuang; Herschel Rabitz

doi:10.1109/JAS.2016.7373765

Manipulations between eigenstates of 2-level quantum system based on optimal measurements

Jingbei Yang, Shuang Cong, Feng Shuang, Herschel Rabitz

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

3 Scopus citations

Abstract

This paper explores the manipulation between eigenstates in a two-level system by a sequence of instantaneous projective measurements. Three cases of the manipulations are studied: the manipulation of optimal measurement-based control; the optimal measurement-based manipulation with the effect of free evolution of system; and the external control fields being used to compensate for the effect caused by the free evolution. Numerical simulations are conducted to verify the results obtained from the theoretically analytical solutions. The optimal parameters for each manipulation case are obtained. The experimental results indicate that the external control fields can make the optimal measurement-based control more effective.

Original language	English (US)
Article number	7373760
Pages (from-to)	35-41
Number of pages	7
Journal	IEEE/CAA Journal of Automatica Sinica
Volume	3
Issue number	1
DOIs	https://doi.org/10.1109/JAS.2016.7373765
State	Published - Jan 10 2016

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Information Systems
Artificial Intelligence

Keywords

Quantum measurement
characteristics analysis
state transfer

Access to Document

10.1109/JAS.2016.7373765

Cite this

@article{6f47e96dd5c045adad9f9d0236778877,

title = "Manipulations between eigenstates of 2-level quantum system based on optimal measurements",

abstract = "This paper explores the manipulation between eigenstates in a two-level system by a sequence of instantaneous projective measurements. Three cases of the manipulations are studied: the manipulation of optimal measurement-based control; the optimal measurement-based manipulation with the effect of free evolution of system; and the external control fields being used to compensate for the effect caused by the free evolution. Numerical simulations are conducted to verify the results obtained from the theoretically analytical solutions. The optimal parameters for each manipulation case are obtained. The experimental results indicate that the external control fields can make the optimal measurement-based control more effective.",

keywords = "Quantum measurement, characteristics analysis, state transfer",

author = "Jingbei Yang and Shuang Cong and Feng Shuang and Herschel Rabitz",

note = "Publisher Copyright: {\textcopyright} 2014 Chinese Association of Automation.",

year = "2016",

month = jan,

day = "10",

doi = "10.1109/JAS.2016.7373765",

language = "English (US)",

volume = "3",

pages = "35--41",

journal = "IEEE/CAA Journal of Automatica Sinica",

issn = "2329-9266",

publisher = "IEEE Advancing Technology for Humanity",

number = "1",

}

TY - JOUR

T1 - Manipulations between eigenstates of 2-level quantum system based on optimal measurements

AU - Yang, Jingbei

AU - Cong, Shuang

AU - Shuang, Feng

AU - Rabitz, Herschel

PY - 2016/1/10

Y1 - 2016/1/10

N2 - This paper explores the manipulation between eigenstates in a two-level system by a sequence of instantaneous projective measurements. Three cases of the manipulations are studied: the manipulation of optimal measurement-based control; the optimal measurement-based manipulation with the effect of free evolution of system; and the external control fields being used to compensate for the effect caused by the free evolution. Numerical simulations are conducted to verify the results obtained from the theoretically analytical solutions. The optimal parameters for each manipulation case are obtained. The experimental results indicate that the external control fields can make the optimal measurement-based control more effective.

AB - This paper explores the manipulation between eigenstates in a two-level system by a sequence of instantaneous projective measurements. Three cases of the manipulations are studied: the manipulation of optimal measurement-based control; the optimal measurement-based manipulation with the effect of free evolution of system; and the external control fields being used to compensate for the effect caused by the free evolution. Numerical simulations are conducted to verify the results obtained from the theoretically analytical solutions. The optimal parameters for each manipulation case are obtained. The experimental results indicate that the external control fields can make the optimal measurement-based control more effective.

KW - Quantum measurement

KW - characteristics analysis

KW - state transfer

UR - http://www.scopus.com/inward/record.url?scp=84964773866&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84964773866&partnerID=8YFLogxK

U2 - 10.1109/JAS.2016.7373765

DO - 10.1109/JAS.2016.7373765

M3 - Article

AN - SCOPUS:84964773866

SN - 2329-9266

VL - 3

SP - 35

EP - 41

JO - IEEE/CAA Journal of Automatica Sinica

JF - IEEE/CAA Journal of Automatica Sinica

IS - 1

M1 - 7373760

ER -

Manipulations between eigenstates of 2-level quantum system based on optimal measurements

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this