Show simple item record Heule, Rahel Bruder, Christoph Stojanović, Vladimir M. Burgarth, Daniel 2011-08-31T11:05:08Z 2011-08-31T11:05:08Z 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 ' 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 PURE UUID: 693825c8-b331-463c-9819-4adc93aa1429
dc.identifier.other dspace: 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 European Physical Journal D en
dc.title Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit en
dc.type /dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article en
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Quantum Systems, Information and Control en
dc.description.status Peer reviewed en

Files in this item

Aside from theses and in the absence of a specific licence document on an item page, all works in Cadair are accessible under the CC BY-NC-ND Licence. AU theses and dissertations held on Cadair are made available for the purposes of private study and non-commercial research and brief extracts may be reproduced under fair dealing for the purpose of criticism or review. If you have any queries in relation to the re-use of material on Cadair, contact

This item appears in the following Collection(s)

Show simple item record

Search Cadair

Advanced Search