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Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit

2018/04/30 by Y. Xu, W. Cai, Y. Ma +8 · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevlett.121.110501

published as Phys. Rev. Lett. 121, 110501 (2018) · main text 6 pages, 4 figures; supplement 5 pages, 5 figures; Added references and corrected typos

arxiv created 2018/09/13 · arxiv updated 2018/09/14

Abstract

Geometric phases are noise-resilient, and thus provide a robust way towards high fidelity quantum manipulation. Here we experimentally demonstrate arbitrary non-adiabatic holonomic single-qubit quantum gates for both a superconducting transmon qubit and a microwave cavity in a single-loop way. In both cases, an auxiliary state is utilized, and two resonant microwave drives are simultaneously applied with well-controlled but varying amplitudes and phases for the arbitrariness of the gate. The resulting gates on the transmon qubit achieve a fidelity of 0.996 characterized by randomized benchmarking and the ones on the cavity show an averaged fidelity of 0.978 based on a full quantum process tomography. In principle, a nontrivial two-qubit holonomic gate between the qubit and the cavity can also be realized based on our presented experimental scheme. Our experiment thus paves the way towards practical non-adiabatic holonomic quantum manipulation with both qubits and cavities in a superconducting circuit.

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