dorsal/arxiv
View SchemaEfficient Scheme for Initializing a Quantum Register with an Arbitrary Superposed State
| Authors | Gui-Lu Long, Yang Sun |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0104030 |
| URL | https://arxiv.org/abs/quant-ph/0104030 |
| DOI | 10.1103/PhysRevA.64.014303 |
| Journal | Phys. Rev. A64 (2001) 014303 |
Abstract
Preparation of a quantum register is an important step in quantum computation and quantum information processing. It is straightforward to build a simple quantum state such as $|i_1 i_2 ... i_n\ket$ with $i_j$ being either 0 or 1, but is a non-trivial task to construct an {\it arbitrary} superposed quantum state. In this Paper, we present a scheme that can most generally initialize a quantum register with an arbitrary superposition of basis states. Implementation of this scheme requires $O(Nn^2)$ standard 1- and 2-bit gate operations, {\it without introducing additional quantum bits}. Application of the scheme in some special cases is discussed.
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"abstract": "Preparation of a quantum register is an important step in quantum computation\nand quantum information processing. It is straightforward to build a simple\nquantum state such as $|i_1 i_2 ... i_n\\ket$ with $i_j$ being either 0 or 1,\nbut is a non-trivial task to construct an {\\it arbitrary} superposed quantum\nstate. In this Paper, we present a scheme that can most generally initialize a\nquantum register with an arbitrary superposition of basis states.\nImplementation of this scheme requires $O(Nn^2)$ standard 1- and 2-bit gate\noperations, {\\it without introducing additional quantum bits}. Application of\nthe scheme in some special cases is discussed.",
"arxiv_id": "quant-ph/0104030",
"authors": [
"Gui-Lu Long",
"Yang Sun"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.014303",
"journal_ref": "Phys. Rev. A64 (2001) 014303",
"title": "Efficient Scheme for Initializing a Quantum Register with an Arbitrary Superposed State",
"url": "https://arxiv.org/abs/quant-ph/0104030"
},
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