Composite pulses for robust universal control of singlet-triplet qubits

Details Composite pulses for robust universal control of singlet-triplet qubits Composite pulses for robust universal control of singlet-triplet qubits

2012-02-22

arxiv.org/abs/1202.5032v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages+ supplementary materials

Scientific paper

Qubit manipulation is fundamental to quantum computing. However, the stray coupling between the qubit and the environment usually present in real experimental systems hinders the high-precision control necessary for a quantum computer with error rates below the quantum error correction threshold. We consider this problem in the context of the singlet-triplet spin qubit in a semiconductor double quantum dot system, where the experimenter has precise control over the exchange interaction only, while statistical fluctuations in the magnetic field gradient produce drift error about the x-axis of the Bloch sphere. The exchange interaction is restricted to be positive and finite. Taking these constraints into account, we design experimentally viable electrical pulse sequences that, for small magnetic field gradients, carry out rotations around z while canceling gate errors up to the sixth order in the gradient fluctuations, and for large gradients, perform arbitrary rotations while canceling the leading order error.

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