One- and two-dimensional quantum walks in arrays of optical traps
Open accessAbstract
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.
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- Authors
- Eckert, K., Mompart, J., Birkl, G., & Lewenstein, M.
- Affiliations
- Leibniz University Hannover (DE)
- Universitat Autònoma de Barcelona (ES)
- Technische Universität Darmstadt (DE)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-07-21
- Volume
- 72
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2080262800
- Cited by
- 74
- References
- 32
- Citations by year
- 2025: 1 · 2024: 1 · 2022: 4 · 2021: 1 · 2020: 4 · 2019: 5 · 2018: 2 · 2017: 1 · 2016: 1 · 2015: 1 · 2014: 1 · 2013: 5 · 2012: 4
- FWCI
- 7.40
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona) (submittedVersion, public-domain)
- LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (submittedVersion, public-domain)
- arXiv (Cornell University)
- Funders
- European Commission
- Deutsche Forschungsgemeinschaft
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- discrete-time quantum walks, optical lattices, neutral atoms, hyperfine qubits, two-dimensional quantum walk, coin operator, temperature dependence, experimental imperfections
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