caa a22 4500 445865598 CHVBK 20180317145456.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1140/epjd/e2010-10623-y doi (NATIONALLICENCE)springer-10.1140/epjd/e2010-10623-y Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit [Elektronische Daten] [R. Heule, C. Bruder, D. Burgarth, V. Stojanović] 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 (). 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. EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2011 Heule R. Department of Physics, University of Basel, Klingelbergstrasse 82, 4056, Basel, Switzerland aut Bruder C. Department of Physics, University of Basel, Klingelbergstrasse 82, 4056, Basel, Switzerland aut Burgarth D. Institute for Mathematical Sciences, SW7 2PG, Imperial College London, UK aut Stojanović V. Department of Physics, University of Basel, Klingelbergstrasse 82, 4056, Basel, Switzerland aut The European Physical Journal D Springer-Verlag 63/1(2011-06-01), 41-46 1434-6060 63:1<41 2011 63 10053 https://doi.org/10.1140/epjd/e2010-10623-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2010-10623-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Heule R. Department of Physics, University of Basel, Klingelbergstrasse 82, 4056, Basel, Switzerland aut NATIONALLICENCE 700 1- Bruder C. Department of Physics, University of Basel, Klingelbergstrasse 82, 4056, Basel, Switzerland aut NATIONALLICENCE 700 1- Burgarth D. Institute for Mathematical Sciences, SW7 2PG, Imperial College London, UK aut NATIONALLICENCE 700 1- Stojanović V. Department of Physics, University of Basel, Klingelbergstrasse 82, 4056, Basel, Switzerland aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 63/1(2011-06-01), 41-46 1434-6060 63:1<41 2011 63 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer