Generation of eigenstates using the phase-estimation algorithm

Travaglione, B. C. and Milburn, G. J. (2001) Generation of eigenstates using the phase-estimation algorithm. Physical Review A, 63 3: 032301-1-032301-5. doi:10.1103/PhysRevA.63.032301

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Author Travaglione, B. C.
Milburn, G. J.
Title Generation of eigenstates using the phase-estimation algorithm
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2001
Sub-type Article (original research)
DOI 10.1103/PhysRevA.63.032301
Open Access Status File (Publisher version)
Volume 63
Issue 3
Start page 032301-1
End page 032301-5
Total pages 5
Editor B. Crasemann
Place of publication Maryland USA
Publisher The American Physical Society
Collection year 2001
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract The phase estimation algorithm is so named because it allows an estimation of the eigenvalues associated with an operator. However, it has been proposed that the algorithm can also be used to generate eigenstates. Here we extend this proposal for small quantum systems, identifying the conditions under which the phase-estimation algorithm can successfully generate eigenstates. We then propose an implementation scheme based on an ion trap quantum computer. This scheme allows us to illustrate two simple examples, one in which the algorithm effectively generates eigenstates, and one in which it does not.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Phase estimation
Ion traps
Eigenvalues and eigenfunctions
Particle traps
Quantum computing
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
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Citation counts: TR Web of Science Citation Count  Cited 17 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 3 times in Scopus Article | Citations
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Created: Tue, 14 Aug 2007, 15:45:45 EST