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arXiv · 1408.2388

Construction of Arbitrary Robust One-Qubit Operations Using Planar Geometry

Tsubasa Ichikawa·Jefferson G. Filgueiras·Masamitsu Bando·Yasushi Kondo·Mikio Nakahara·Dieter Suter
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Abstract

We show how to construct an arbitrary robust one-qubit unitary operation with a control Hamiltonian of $A_x(t) σ_x + A_y(t) σ_y$, where $σ_i$ is a Pauli matrix and $A_i(t)$ is piecewise constant. Our method, based on planar geometry, admits a simple and intuitive interpretation. Furthermore, the total execution time and the number of elementary gates of the obtained sequence are comparable to those of the shortest known concatenated composite pulses.

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Tsubasa Ichikawa, Jefferson G. Filgueiras, Masamitsu Bando, Yasushi Kondo, Mikio Nakahara, Dieter Suter. 2014-10-28. Construction of Arbitrary Robust One-Qubit Operations Using Planar Geometry. https://doi.org/10.1103/physreva.90.052330

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