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We propose a fast and robust quantum state transfer protocol employing aSu-Schrieffer-Heeger chain, where the interchain couplings vary in time. Basedon simple considerations around the terms involved in the definition of theadiabatic invariant, we construct an exponential time-driving function thatsuccessfully takes advantage of resonant effects to speed up the transferprocess. Using optimal control theory, we confirm that the proposedtime-driving function is close to optimal. To unravel the crucial aspects ofour construction, we proceed to a comparison with two other protocols. Onewhere the underlying Su-Schrieffer-Heeger chain is adiabatically time-drivenand another where the underlying chain is topologically trivial and resonanteffects are at work. By numerically investigating the resilience of eachprotocol to static noise, we highlight the robustness of the exponentialdriving.

Fast and robust quantum state transfer via a topological chain