dorsal/arxiv
View SchemaSlow transport by continuous time quantum walks
| Authors | Oliver Muelken, Alexander Blumen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410243 |
| URL | https://arxiv.org/abs/quant-ph/0410243 |
| DOI | 10.1103/PhysRevE.71.016101 |
| Journal | Phys. Rev. E 71, 016101 (2005) |
Abstract
Continuous time quantum walks (CTQW) do not necessarily perform better than their classical counterparts, the continuous time random walks (CTRW). For one special graph, where a recent analysis showed that in a particular direction of propagation the penetration of the graph is faster by CTQWs than by CTRWs, we demonstrate that in another direction of propagation the opposite is true; In this case a CTQW initially localized at one site displays a slow transport. We furthermore show that when the CTQW's initial condition is a totally symmetric superposition of states of equivalent sites, the transport gets to be much more rapid.
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"abstract": "Continuous time quantum walks (CTQW) do not necessarily perform better than\ntheir classical counterparts, the continuous time random walks (CTRW). For one\nspecial graph, where a recent analysis showed that in a particular direction of\npropagation the penetration of the graph is faster by CTQWs than by CTRWs, we\ndemonstrate that in another direction of propagation the opposite is true; In\nthis case a CTQW initially localized at one site displays a slow transport. We\nfurthermore show that when the CTQW\u0027s initial condition is a totally symmetric\nsuperposition of states of equivalent sites, the transport gets to be much more\nrapid.",
"arxiv_id": "quant-ph/0410243",
"authors": [
"Oliver Muelken",
"Alexander Blumen"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevE.71.016101",
"journal_ref": "Phys. Rev. E 71, 016101 (2005)",
"title": "Slow transport by continuous time quantum walks",
"url": "https://arxiv.org/abs/quant-ph/0410243"
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