dorsal/arxiv
View SchemaGeneration of eigenstates using the phase-estimation algorithm
| Authors | B. C. Travaglione, G. J. Milburn |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008053 |
| URL | https://arxiv.org/abs/quant-ph/0008053 |
| DOI | 10.1103/PhysRevA.63.032301 |
| Journal | Physical Review A, Vol 63, 032301 (2001) |
Abstract
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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"abstract": "The phase estimation algorithm is so named because it allows the estimation\nof the eigenvalues associated with an operator. However it has been proposed\nthat the algorithm can also be used to generate eigenstates. Here we extend\nthis proposal for small quantum systems, identifying the conditions under which\nthe phase estimation algorithm can successfully generate eigenstates. We then\npropose an implementation scheme based on an ion trap quantum computer. This\nscheme allows us to illustrate two simple examples, one in which the algorithm\neffectively generates eigenstates, and one in which it does not.",
"arxiv_id": "quant-ph/0008053",
"authors": [
"B. C. Travaglione",
"G. J. Milburn"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.032301",
"journal_ref": "Physical Review A, Vol 63, 032301 (2001)",
"title": "Generation of eigenstates using the phase-estimation algorithm",
"url": "https://arxiv.org/abs/quant-ph/0008053"
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