dorsal/arxiv
View SchemaSymmetries and noise in quantum walk
| Authors | C. M. Chandrashekar, R. Srikanth, Subhashish Banerjee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607188 |
| URL | https://arxiv.org/abs/quant-ph/0607188 |
| DOI | 10.1103/PhysRevA.76.022316 |
| Journal | Phys. Rev. A . 76, 022316 (2007) |
Abstract
We study some discrete symmetries of unbiased (Hadamard) and biased quantum walk on a line, which are shown to hold even when the quantum walker is subjected to environmental effects. The noise models considered in order to account for these effects are the phase flip, bit flip and generalized amplitude damping channels. The numerical solutions are obtained by evolving the density matrix, but the persistence of the symmetries in the presence of noise is proved using the quantum trajectories approach. We also briefly extend these studies to quantum walk on a cycle. These investigations can be relevant to the implementation of quantum walks in various known physical systems. We discuss the implementation in the case of NMR quantum information processor and ultra cold atoms.
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"abstract": "We study some discrete symmetries of unbiased (Hadamard) and biased quantum\nwalk on a line, which are shown to hold even when the quantum walker is\nsubjected to environmental effects. The noise models considered in order to\naccount for these effects are the phase flip, bit flip and generalized\namplitude damping channels. The numerical solutions are obtained by evolving\nthe density matrix, but the persistence of the symmetries in the presence of\nnoise is proved using the quantum trajectories approach. We also briefly extend\nthese studies to quantum walk on a cycle. These investigations can be relevant\nto the implementation of quantum walks in various known physical systems. We\ndiscuss the implementation in the case of NMR quantum information processor and\nultra cold atoms.",
"arxiv_id": "quant-ph/0607188",
"authors": [
"C. M. Chandrashekar",
"R. Srikanth",
"Subhashish Banerjee"
],
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"quant-ph",
"cond-mat.other"
],
"doi": "10.1103/PhysRevA.76.022316",
"journal_ref": "Phys. Rev. A . 76, 022316 (2007)",
"title": "Symmetries and noise in quantum walk",
"url": "https://arxiv.org/abs/quant-ph/0607188"
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