Generation of eigenstates using the phase-estimation algorithm

Details Generation of eigenstates using the phase-estimation algorithm Generation of eigenstates using the phase-estimation algorithm

2000-08-11

arxiv.org/abs/quant-ph/0008053v2

Physical Review A, Vol 63, 032301 (2001)

Physics

Quantum Physics

5 pages, 3 Figures, RevTeX4 Introduction expanded, typos corrected

Scientific paper

10.1103/PhysRevA.63.032301

The phase estimation algorithm is so named because it allows the 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.

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