Local quantum control of Heisenberg spin chains


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dc.contributor.author Heule, Rahel
dc.contributor.author Bruder, Christoph
dc.contributor.author Burgarth, Daniel
dc.contributor.author Stojanović, Vladimir M.
dc.date.accessioned 2011-09-26T14:05:58Z
dc.date.available 2011-09-26T14:05:58Z
dc.date.issued 2010
dc.identifier.citation Heule , R , Bruder , C , Burgarth , D & Stojanović , V M 2010 , ' Local quantum control of Heisenberg spin chains ' Physical Review A , vol 82 , 052333 . , 10.1103/PhysRevA.82.052333 en
dc.identifier.issn 1050-2947
dc.identifier.other PURE: 171091
dc.identifier.other dspace: 2160/7593
dc.identifier.uri http://hdl.handle.net/2160/7593
dc.description Heule, R., Bruder, C., Burgarth, D., Stojanović, V. M. (2010). Local quantum control of Heisenberg spin chains, Physical Review A, 82, Article No: 052333 en
dc.description.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. en
dc.format.extent 8 en
dc.language.iso eng
dc.relation.ispartof Physical Review A en
dc.title Local quantum control of Heisenberg spin chains en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevA.82.052333
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Quantum Systems, Information and Control en
dc.description.status Peer reviewed en

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