Implementation of a Walsh-Hadamard gate in a superconducting qutrit

• URL: http://arxiv.org/abs/2003.04879v2
• Date: Mon, 16 Nov 2020 02:22:58 GMT
• Title: Implementation of a Walsh-Hadamard gate in a superconducting qutrit
• Authors: M.A. Yurtalan, J. Shi, M. Kononenko, A. Lupascu, S. Ashhab
• Abstract summary: We have implemented a Walsh-Hadamard gate, which performs a quantum Fourier transform in a superconducting qutrit. The gate has a duration of 35 ns and an average fidelity over a representative set of states, including preparation and tomography errors, of 99.2%.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We have implemented a Walsh-Hadamard gate, which performs a quantum Fourier transform, in a superconducting qutrit. The qutrit is encoded in the lowest three energy levels of a capacitively shunted flux device, operated at the optimal flux-symmetry point. We use an efficient decomposition of the Walsh-Hadamard gate into two unitaries, generated by off-diagonal and diagonal Hamiltonians respectively. The gate implementation utilizes simultaneous driving of all three transitions between the three pairs of energy levels of the qutrit, one of which is implemented with a two-photon process. The gate has a duration of 35 ns and an average fidelity over a representative set of states, including preparation and tomography errors, of 99.2%, characterized with quantum state tomography. Compensation of ac-Stark and Bloch-Siegert shifts is essential for reaching high gate fidelities.

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