|
| related topics |
| {trap, ion, state} |
| {classical, space, random} |
| {qubit, qubits, gate} |
| {state, algorithm, problem} |
| {operator, operators, space} |
| {energy, state, states} |
| {wave, scattering, interference} |
| {state, phys, rev} |
| {time, decoherence, evolution} |
| {state, states, entangled} |
| {photon, photons, single} |
|
One- and two-dimensional quantum walks in arrays of optical traps
K. Eckert, J. Mompart, G. Birkl, M. Lewenstein
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0503084
- categories:
- quant-ph
- comments:
- 10 pages, 8 figures; v2: some comments added and other minor changes
- doi:
- 10.1103/PhysRevA.72.012327
- arxiv_id:
- quant-ph/0503084
- created:
- 2005-03-08
- updated:
- 2005-05-09
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