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Preparation of entangled states by quantum Markov processes
Institute for Theoretical Physics, University of Innsbruck, Innsbruck, Austria.
Institute for Theoretical Physics III, University of Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany.
Institute for Theoretical Physics, University of Innsbruck, Innsbruck, Austria;Institute of Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck, Austria.
Institute for Theoretical Physics, University of Innsbruck, Innsbruck, Austria;Institute of Quantum Optics and Quantum Information of the Austrian Academy of Sciences, Innsbruck, Austria.
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2008 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 78, no 4Article in journal (Refereed) Published
Abstract [en]

We investigate the possibility of using a dissipative process to prepare a quantum system in a desired state. We derive for any multipartite pure state a dissipative process for which this state is the unique stationary state and solve the corresponding master equation analytically. For certain states, such as the cluster states, we use this process to show that the jump operators can be chosen quasilocally, i.e. they act nontrivially only on a few, neighboring qubits. Furthermore, the relaxation time of this dissipative process is independent of the number of subsystems. We demonstrate the general formalism by considering arbitrary matrix-product states or projected entangled pair states. In particular, we show that the ground state of the Affleck-Kennedy-Lieb-Tasaki model can be prepared employing a quasi-local dissipative process.

Place, publisher, year, edition, pages
American Physical Society , 2008. Vol. 78, no 4
National Category
Atom and Molecular Physics and Optics
Identifiers
URN: urn:nbn:se:uu:diva-336268DOI: 10.1103/PhysRevA.78.042307OAI: oai:DiVA.org:uu-336268DiVA, id: diva2:1165596
Available from: 2017-12-13 Created: 2017-12-13 Last updated: 2017-12-13

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