Multifractality in the fidelity of the Toffoli gate

Abstract

We analyze the multifractality of the fidelity in an engineered Toffoli gate. Using quantum control methods, we define several optimization problems whose global solutions realize the gate in a chain of three qubits with XY Heisenberg interaction. We perturb the system by introducing imperfections in the form of $1/f$ noise to the interqubit couplings. Multifractal analysis shows that the degree of multifractality in the gate fidelity increases when optimized control pulses used to render the fidelity are less sensitive to variations in the interqubits coupling strengths.

7 pages, 5 figures

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Cited by in corpus (2)

• Efficient experimental design of high-fidelity three-qubit quantum gates via genetic programming
• Feasibility of single-shot realizations of conditional three-qubit gates in exchange-coupled qubit arrays with local control