dorsal/arxiv
View SchemaImplementing the one-dimensional quantum (Hadamard) walk using a Bose-Einstein Condensate
| Authors | C. M. Chandrashekar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603156 |
| URL | https://arxiv.org/abs/quant-ph/0603156 |
| DOI | 10.1103/PhysRevA.74.032307 |
| Journal | Phys. Rev. A . 74, 032307 (2006) |
Abstract
We propose a scheme to implement the simplest and best-studied version of quantum random walk, the discrete Hadamard walk, in one dimension using coherent macroscopic sample of ultracold atoms, Bose-Einstein condensate (BEC). Implementation of quantum walk using BEC gives access to the familiar quantum phenomena on a macroscopic scale. This paper uses rf pulse to implement Hadamard operation (rotation) and stimulated Raman transition technique as unitary shift operator. The scheme suggests implementation of Hadamard operation and unitary shift operator while the BEC is trapped in long Rayleigh range optical dipole trap. The Hadamard rotation and a unitary shift operator on BEC prepared in one of the internal state followed by a bit flip operation, implements one step of the Hadamard walk. To realize a sizable number of steps, the process is iterated without resorting to intermediate measurement. With current dipole trap technology it should be possible to implement enough steps to experimentally highlight the discrete quantum random walk using a BEC leading to further exploration of quantum random walks and its applications.
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"abstract": "We propose a scheme to implement the simplest and best-studied version of\nquantum random walk, the discrete Hadamard walk, in one dimension using\ncoherent macroscopic sample of ultracold atoms, Bose-Einstein condensate (BEC).\nImplementation of quantum walk using BEC gives access to the familiar quantum\nphenomena on a macroscopic scale. This paper uses rf pulse to implement\nHadamard operation (rotation) and stimulated Raman transition technique as\nunitary shift operator. The scheme suggests implementation of Hadamard\noperation and unitary shift operator while the BEC is trapped in long Rayleigh\nrange optical dipole trap. The Hadamard rotation and a unitary shift operator\non BEC prepared in one of the internal state followed by a bit flip operation,\nimplements one step of the Hadamard walk. To realize a sizable number of steps,\nthe process is iterated without resorting to intermediate measurement. With\ncurrent dipole trap technology it should be possible to implement enough steps\nto experimentally highlight the discrete quantum random walk using a BEC\nleading to further exploration of quantum random walks and its applications.",
"arxiv_id": "quant-ph/0603156",
"authors": [
"C. M. Chandrashekar"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.032307",
"journal_ref": "Phys. Rev. A . 74, 032307 (2006)",
"title": "Implementing the one-dimensional quantum (Hadamard) walk using a Bose-Einstein Condensate",
"url": "https://arxiv.org/abs/quant-ph/0603156"
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