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  Simulating open quantum systems: from many-body interactions to stabilizer pumping

Mueller, M., Hammerer, K., Zhou, Y. L., Roos, C. F., & Zoller, P. (2011). Simulating open quantum systems: from many-body interactions to stabilizer pumping. New Journal of Physics, 13: 085007. doi:10.1088/1367-2630/13/8/085007.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EA53-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EA54-4
Genre: Journal Article

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 Creators:
Mueller, M., Author
Hammerer, K.1, Author
Zhou, Y. L., Author
Roos, C. F., Author
Zoller, P., Author
Affiliations:
1AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, Hannover, DE, ou_24009              

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Free keywords: Quantum Physics, quant-ph
 Abstract: In a recent experiment, Barreiro et al. demonstrated the fundamental building blocks of an open-system quantum simulator with trapped ions [Nature 470, 486 (2011)]. Using up to five ions, single- and multi-qubit entangling gate operations were combined with optical pumping in stroboscopic sequences. This enabled the implementation of both coherent many-body dynamics as well as dissipative processes by controlling the coupling of the system to an artificial, suitably tailored environment. This engineering was illustrated by the dissipative preparation of entangled two- and four-qubit states, the simulation of coherent four-body spin interactions and the quantum non-demolition measurement of a multi-qubit stabilizer operator. In the present paper, we present the theoretical framework of this gate-based ("digital") simulation approach for open-system dynamics with trapped ions. In addition, we discuss how within this simulation approach minimal instances of spin models of interest in the context of topological quantum computing and condensed matter physics can be realized in state-of-the-art linear ion-trap quantum computing architectures. We outline concrete simulation schemes for Kitaev's toric code Hamiltonian and a recently suggested color code model. The presented simulation protocols can be adapted to scalable and two-dimensional ion-trap architectures, which are currently under development.

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 Dates: 2011-04-132011
 Publication Status: Published in print
 Pages: 27 pages, 9 figures, submitted to NJP Focus on Topological Quantum Computation
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1104.2507
DOI: 10.1088/1367-2630/13/8/085007
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Title: New Journal of Physics
  Other : New J. Phys.
Source Genre: Journal
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Publ. Info: Bristol, UK : Institute of Physics Pub.
Pages: - Volume / Issue: 13 Sequence Number: 085007 Start / End Page: - Identifier: ISSN: 1367-2630
CoNE: /journals/resource/954926913666