dorsal/arxiv
View SchemaState preparation based on Grover's algorithm in the presence of global information about the state
| Authors | Andrei N. Soklakov, Ruediger Schack |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411010 |
| URL | https://arxiv.org/abs/quant-ph/0411010 |
| DOI | 10.1134/1.2034606 |
Abstract
In a previous paper [quant-ph/0408045] we described a quantum algorithm to prepare an arbitrary state of a quantum register with arbitrary fidelity. Here we present an alternative algorithm which uses a small number of quantum oracles encoding the most significant bits of the absolute value of the complex amplitudes, and a small number of oracles encoding the most significant bits of the phases. The algorithm given here is considerably simpler than the one described in [quant-ph/0408045], on the assumption that a sufficient amount of knowledge about the distribution of the absolute values of the complex amplitudes is available.
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"abstract": "In a previous paper [quant-ph/0408045] we described a quantum algorithm to\nprepare an arbitrary state of a quantum register with arbitrary fidelity. Here\nwe present an alternative algorithm which uses a small number of quantum\noracles encoding the most significant bits of the absolute value of the complex\namplitudes, and a small number of oracles encoding the most significant bits of\nthe phases. The algorithm given here is considerably simpler than the one\ndescribed in [quant-ph/0408045], on the assumption that a sufficient amount of\nknowledge about the distribution of the absolute values of the complex\namplitudes is available.",
"arxiv_id": "quant-ph/0411010",
"authors": [
"Andrei N. Soklakov",
"Ruediger Schack"
],
"categories": [
"quant-ph"
],
"doi": "10.1134/1.2034606",
"title": "State preparation based on Grover\u0027s algorithm in the presence of global information about the state",
"url": "https://arxiv.org/abs/quant-ph/0411010"
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