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Local quantum control of Heisenberg spin chains

Heule, Rahel and Bruder, C. and Burgarth, Daniel and Stojanovic, Vladimir M.. (2010) Local quantum control of Heisenberg spin chains. Physical review A, General physics, Vol. 82, H. 5 , 052333.

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Official URL: http://edoc.unibas.ch/dok/A5842725

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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.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Theoretische Physik (Bruder)
UniBasel Contributors:Bruder, Christoph
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:American Institute of Physics
ISSN:1050-2947
Note:Publication type according to Uni Basel Research Database: Journal article
Last Modified:18 Dec 2015 09:31
Deposited On:14 Sep 2012 06:47

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