Phys. Rev. A 68, 062307 (2003) [5 pages]

General formalism of Hamiltonians for realizing a prescribed evolution of a qubit

Abstract

References

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D. M. Tong^1,2, Jing-Ling Chen¹, L. C. Kwek^1,3, C. H. Lai¹, and C. H. Oh^1,*
¹Department of Physics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore
²Department of Physics, Shandong Normal University, Jinan 250014, People’s Republic of China
³National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 639798, Singapore

Received 27 August 2003; published 9 December 2003

We investigate the inverse problem concerning the evolution of a qubit system, specifically we consider how one can establish the Hamiltonians that account for the evolution of a qubit along a prescribed path in the projected Hilbert space. For a given path, there are infinite Hamiltonians which can realize the same evolution. A general form of the Hamiltonians is constructed in which one may select the desired one for implementing a prescribed evolution. This scheme can be generalized to higher dimensional systems.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.68.062307

DOI:

10.1103/PhysRevA.68.062307

PACS:

03.67.Hk, 03.65.Yz, 03.65.Vf

^*Electronic address: phyohch@nus.edu.sg

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Phys. Rev. A 68, 062307 (2003) [5 pages]

General formalism of Hamiltonians for realizing a prescribed evolution of a qubit