Identifying an experimental two-state Hamiltonian to arbitrary accuracy

J H Cole, S G Schirmer, A D Greentree, C J Wellard, D K L Oi, L C L Hollenberg

Research output: Contribution to journalArticle

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Abstract

Precision control of a quantum system requires accurate determination of the effective system Hamiltonian. We develop a method for estimating the Hamiltonian parameters for some unknown two-state system and providing uncertainty bounds on these parameters. This method requires only one measurement basis and the ability to initialize the system in some arbitrary state which is not an eigenstate of the Hamiltonian in question. The scaling of the uncertainty is studied for large numbers of measurements and found to be proportional to the reciprocal of the square root of the number of measurements.

LanguageEnglish
Article number062312
Number of pages11
JournalPhysical Review A
Volume71
Issue number6
DOIs
Publication statusPublished - Jun 2005

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eigenvectors
estimating
scaling

Keywords

  • computation
  • nmr
  • optics
  • quantum systems

Cite this

Cole, J. H., Schirmer, S. G., Greentree, A. D., Wellard, C. J., Oi, D. K. L., & Hollenberg, L. C. L. (2005). Identifying an experimental two-state Hamiltonian to arbitrary accuracy. Physical Review A, 71(6), [062312]. https://doi.org/10.1103/PhysRevA.71.062312
Cole, J H ; Schirmer, S G ; Greentree, A D ; Wellard, C J ; Oi, D K L ; Hollenberg, L C L . / Identifying an experimental two-state Hamiltonian to arbitrary accuracy. In: Physical Review A. 2005 ; Vol. 71, No. 6.
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Cole, JH, Schirmer, SG, Greentree, AD, Wellard, CJ, Oi, DKL & Hollenberg, LCL 2005, 'Identifying an experimental two-state Hamiltonian to arbitrary accuracy' Physical Review A, vol. 71, no. 6, 062312. https://doi.org/10.1103/PhysRevA.71.062312

Identifying an experimental two-state Hamiltonian to arbitrary accuracy. / Cole, J H ; Schirmer, S G ; Greentree, A D ; Wellard, C J ; Oi, D K L ; Hollenberg, L C L .

In: Physical Review A, Vol. 71, No. 6, 062312, 06.2005.

Research output: Contribution to journalArticle

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T1 - Identifying an experimental two-state Hamiltonian to arbitrary accuracy

AU - Cole, J H

AU - Schirmer, S G

AU - Greentree, A D

AU - Wellard, C J

AU - Oi, D K L

AU - Hollenberg, L C L

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KW - optics

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Cole JH, Schirmer SG, Greentree AD, Wellard CJ, Oi DKL, Hollenberg LCL. Identifying an experimental two-state Hamiltonian to arbitrary accuracy. Physical Review A. 2005 Jun;71(6). 062312. https://doi.org/10.1103/PhysRevA.71.062312