Physics – Quantum Physics

Scientific paper

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2010-10-27

Eur. Phys. J. D 63, 41-46 (2011)

Physics

Quantum Physics

6 pages, 4 figures

Scientific paper

10.1140/epjd/e2010-10623-y

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 ($\sqrt{\textrm{SWAP}}$). We find the minimal times for realizing different gates depending on the anisotropy parameter $\Delta$ of the model, showing that the shortest among these gate times are achieved for particular values of $\Delta$ 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.

**Bruder Christoph**

Physics – Condensed Matter – Soft Condensed Matter

Scientist

**Burgarth Daniel**

Physics – Quantum Physics

Scientist

**Heule Rahel**

Physics – Quantum Physics

Scientist

**Stojanovic Vladimir M.**

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientist

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