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Precise ultra fast single qubit control using designed quantum gates

Jochen Scheuer, Xi Kong, Ressa S. Said, Jeson Chen, Andrea Kurz, Luca Marseglia, Jiangfeng Du, Philip Hemmer, Simone Montangero, Tommaso Calarco, Boris Naydenov, Fedor Jelezko

Published Sep 17, 2013• 0 citations
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Based on a 'shortcut-to-adiabaticity' (STA) scheme, we theoretically design and experimentally realize a set of high-fidelity single-qubit quantum gates in a superconducting Xmon qubit system. Through a precise microwave control, the qubit is driven to follow a fast 'adiabatic' trajectory with the assistance of a counter-diabatic field and the correction of derivative removal by adiabatic gates. The experimental measurements of quantum process tomography and interleaved randomized benchmarking show that the process fidelities of our STA quantum gates are higher than 94.9% and the gate fidelities are higher than 99.8%, very close to the state-of-art gate fidelity of 99.9%. An alternate of high-fidelity quantum gates is successfully achieved under the STA protocol.
We develop schemes for designing pulses that implement fast and precise entangling quantum gates in superconducting qubit systems despite the presence of nearby harmful transitions. Our approach is based on purposely involving the nearest harmful transition in the quantum evolution instead of trying to avoid it. Using analytical tools, we design simple microwave control fields that implement maximally entangling gates with fidelities exceeding 99% in times as low as 40 ns. We demonstrate our approach in a two-qubit circuit QED system by designing the two most important quantum entangling gates: a conditional-not gate and a conditional-z gate. Our results constitute an important step toward overcoming the problem of spectral crowding, one of the primary challenges in controlling multiqubit systems.