dorsal/arxiv
View SchemaQuantum synthesis of arbitrary unitary operators
| Authors | B. Hladky, G. Drobny, V. Buzek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905049 |
| URL | https://arxiv.org/abs/quant-ph/9905049 |
| DOI | 10.1103/PhysRevA.61.022102 |
Abstract
Nature provides us with a restricted set of microscopic interactions. The question is whether we can synthesize out of these fundamental interactions an arbitrary unitary operator. In this paper we present a constructive algorithm for realization of any unitary operator which acts on a (truncated) Hilbert space of a single bosonic mode. In particular, we consider a physical implementation of unitary transformations acting on 1-dimensional vibrational states of a trapped ion. As an example we present an algorithm which realizes the discrete Fourier transform.
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"abstract": "Nature provides us with a restricted set of microscopic interactions. The\nquestion is whether we can synthesize out of these fundamental interactions an\narbitrary unitary operator. In this paper we present a constructive algorithm\nfor realization of any unitary operator which acts on a (truncated) Hilbert\nspace of a single bosonic mode. In particular, we consider a physical\nimplementation of unitary transformations acting on 1-dimensional vibrational\nstates of a trapped ion. As an example we present an algorithm which realizes\nthe discrete Fourier transform.",
"arxiv_id": "quant-ph/9905049",
"authors": [
"B. Hladky",
"G. Drobny",
"V. Buzek"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.61.022102",
"title": "Quantum synthesis of arbitrary unitary operators",
"url": "https://arxiv.org/abs/quant-ph/9905049"
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