TY - JOUR
T1 - Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit
AU - Heule, Rahel
AU - Bruder, Christoph
AU - Stojanović, Vladimir M.
AU - Burgarth, Daniel
N1 - 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)
PY - 2011/8/31
Y1 - 2011/8/31
N2 - 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.
AB - 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.
U2 - 10.1140/epjd/e2010-10623-y
DO - 10.1140/epjd/e2010-10623-y
M3 - Article
SN - 1434-6060
VL - 63
SP - 41
EP - 46
JO - European Physical Journal D
JF - European Physical Journal D
IS - 1
ER -