|
| related topics |
| {classical, space, random} |
| {error, code, errors} |
| {state, algorithm, problem} |
| {vol, operators, histories} |
| {state, phys, rev} |
| {time, wave, function} |
| {wave, scattering, interference} |
| {time, decoherence, evolution} |
| {algorithm, log, probability} |
| {spin, pulse, spins} |
| {trap, ion, state} |
|
Quantum random walks with history dependence
Adrian P. Flitney, Derek Abbott, Neil F. Johnson
abstract: We introduce a multi-coin discrete quantum random walk where the amplitude
for a coin flip depends upon previous tosses. Although the corresponding
classical random walk is unbiased, a bias can be introduced into the quantum
walk by varying the history dependence. By mixing the biased random walk with
an unbiased one, the direction of the bias can be reversed leading to a new
quantum version of Parrondo's paradox.
- oai_identifier:
- oai:arXiv.org:quant-ph/0311009
- categories:
- quant-ph
- comments:
- 8 pages, 6 figures, RevTeX
- doi:
- 10.1088/0305-4470/37/30/013
- arxiv_id:
- quant-ph/0311009
- journal_ref:
- J. Phys. A 37 (2004) 7581-7591
- created:
- 2003-11-03
Full article ▸
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