Realization of arbitrary state-transfer via superadiabatic passages in a superconducting circuit

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We propose and demonstrate experimentally the arbitrary state-transfer in a qubit by using a superadiabatic approach in a superconducting circuit. We encode the qubit in a time-dependent dark state generated by an applied microwave field, speeding up the adiabatic evolution by transitionless quantum driving algorithms. This approach is realized experimentally in a qutrit system, which consists of a qubit and an ancillary level. Furthermore, we analyze the robustness of the implementation and measure the fidelity of transfer operation by using randomized benchmarking technique.