One- and two-dimensional quantum walks in arrays of optical traps

Journal Article · Fri Jul 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.012327· OSTI ID:20718335

Eckert, K ^[1]; Mompart, J ^[2]; Birkl, G ^[3]; Lewenstein, M ^[1]

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1. Institut fuer Theoretische Physik, Universitaet Hannover, D-30167 Hannover (Germany)
2. Departament de Fisica, Universitat Autonoma de Barcelona, E-08193 Bellaterra (Spain)
3. Institut fuer Angewandte Physik, Technische Universitaet Darmstadt, Schlossgartenstrasse 7, D-64289 Darmstadt (Germany)

We propose a different 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 such 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.

• OSTI ID: 20718335
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 72; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
DEFECTS
DEGREES OF FREEDOM
IMPLEMENTATION
INFORMATION THEORY
ONE-DIMENSIONAL CALCULATIONS
OPTICS
QUANTUM COMPUTERS
QUANTUM MECHANICS
QUBITS
RADIATION PRESSURE
RANDOMNESS
SPACE
TRAPS
TWO-DIMENSIONAL CALCULATIONS