Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit

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dc.contributor.author Heule, Rahel
dc.contributor.author Bruder, Christoph
dc.contributor.author Stojanović, Vladimir M.
dc.contributor.author Burgarth, Daniel
dc.date.accessioned 2011-08-31T11:05:08Z
dc.date.available 2011-08-31T11:05:08Z
dc.date.issued 2011-08-31
dc.identifier.citation Heule , R , Bruder , C , Stojanović , V M & Burgarth , D 2011 , ' Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit ' The European Physical Journal D , vol 63 , no. 1 , pp. 41-46 . , 10.1140/epjd/e2010-10623-y en
dc.identifier.issn 1434-6060
dc.identifier.other PURE: 170213
dc.identifier.other dspace: 2160/7542
dc.identifier.uri http://hdl.handle.net/2160/7542
dc.description R. Heule, C. Bruder, D. Burgarth, and V.M. Stojanovic, Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit, Eur. Phys. J. D, Eur. Phys. J. D 63, 41–46 (2011) en
dc.description.abstract We investigate anisotropic XXZ Heisenberg spin-1/2 chains with control fields acting on one of the end spins, with the aim of exploring local quantum control in arrays of interacting qubits. In this work, which uses a recent Lie-algebraic result on the local controllability of spin chains with “always-on” interactions, we determine piecewise-constant control pulses corresponding to optimal fidelities for quantum gates such as spin-flip (NOT), controlled-NOT (CNOT), and square-root-of-SWAP ( √ SWAP). We find the minimal times for realizing different gates depending on the anisotropy parameter Δ of the model, showing that the shortest among these gate times are achieved for particular values of Δ larger than unity. To study the influence of possible imperfections in anticipated experimental realizations of qubit arrays, we analyze the robustness of the obtained results for the gate fidelities to random variations in the control-field amplitudes and finite rise time of the pulses. Finally, we discuss the implications of our study for superconducting charge-qubit arrays. en
dc.format.extent 5 en
dc.language.iso eng
dc.relation.ispartof The European Physical Journal D en
dc.title Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1140/epjd/e2010-10623-y
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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