dorsal/arxiv
View SchemaOne- and two-dimensional quantum walks in arrays of optical traps
| Authors | K. Eckert, J. Mompart, G. Birkl, M. Lewenstein |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503084 |
| URL | https://arxiv.org/abs/quant-ph/0503084 |
| DOI | 10.1103/PhysRevA.72.012327 |
Abstract
We propose a novel implementation of discrete time quantum walks for a neutral atom in an array of optical microtraps or an optical lattice. We analyze a one-dimensional walk in position space, with the coin, the additional qubit degree of freedom that controls the displacement of the quantum walker, implemented as a spatially delocalized qubit, i.e., the coin is also encoded in position space. We analyze the dependence of the quantum walk on temperature and experimental imperfections as shaking in the trap positions. Finally, combining a spatially delocalized qubit and a hyperfine qubit, we also give a scheme to realize a quantum walk on a two-dimensional square lattice with the possibility of implementing different coin operators.
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"abstract": "We propose a novel implementation of discrete time quantum walks for a\nneutral atom in an array of optical microtraps or an optical lattice. We\nanalyze a one-dimensional walk in position space, with the coin, the additional\nqubit degree of freedom that controls the displacement of the quantum walker,\nimplemented as a spatially delocalized qubit, i.e., the coin is also encoded in\nposition space. We analyze the dependence of the quantum walk on temperature\nand experimental imperfections as shaking in the trap positions. Finally,\ncombining a spatially delocalized qubit and a hyperfine qubit, we also give a\nscheme to realize a quantum walk on a two-dimensional square lattice with the\npossibility of implementing different coin operators.",
"arxiv_id": "quant-ph/0503084",
"authors": [
"K. Eckert",
"J. Mompart",
"G. Birkl",
"M. Lewenstein"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.012327",
"title": "One- and two-dimensional quantum walks in arrays of optical traps",
"url": "https://arxiv.org/abs/quant-ph/0503084"
},
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