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  Local quantum control of Heisenberg spin chains

Heule, R., Bruder, C., Burgarth, D., & Stojanović, V. (2010). Local quantum control of Heisenberg spin chains. Physical Review A, 82(5): 052333, pp. 1-8. doi:10.1103/PHYSREVA.82.052333.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-45C0-7 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-45C1-6
Genre: Journal Article

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Heule, R1, Author              
Bruder, C, Author
Burgarth, D, Author
Stojanović, VM, Author
Affiliations:
1Department of Physics, University of Basel, ou_persistent22              

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 Abstract: Motivated by some recent results of quantum control theory, we discuss the feasibility of local operator control in arrays of interacting qubits modeled as isotropic Heisenberg spin chains. Acting on one of the end spins, we aim at finding piecewise-constant control pulses that lead to optimal fidelities for a chosen set of quantum gates. We analyze the robustness of the obtained results for the gate fidelities to random errors in the control fields, finding that with faster switching between piecewise-constant controls the system is less susceptible to these errors. The observed behavior falls into a generic class of physical phenomena that are related to a competition between resonance- and relaxation-type behavior, exemplified by motional narrowing in NMR experiments. Finally, we discuss how the obtained optimal gate fidelities are altered when the corresponding rapidly varying piecewise-constant control fields are smoothened through spectral filtering.

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 Dates: 2010-11
 Publication Status: Published in print
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 Rev. Type: -
 Identifiers: DOI: 10.1103/PHYSREVA.82.052333
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Title: Physical Review A
  Other : Physical Review A: Atomic, Molecular, and Optical Physics
  Other : Phys. Rev. A
Source Genre: Journal
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Publ. Info: New York, NY : American Physical Society
Pages: - Volume / Issue: 82 (5) Sequence Number: 052333 Start / End Page: 1 - 8 Identifier: ISSN: 1050-2947
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012_2