Optimized Two- and Multi-Qubit Gates on Rydberg Atoms
In the last years Rydberg atoms have emerged as a competitive platform for quantum computing. Recently, two-qubit gate fidelities above 99.5% have been demonstrated [1], putting Rydberg atoms in the regime of interest for the fault tolerant quantum computing. One of the contribution to this advance was the usage of a new, so called time-optimal, gate protocol based on quantum optimal control [2]. In this talk I will give an overview on how quantum optimal control methods can be used to develop optimal gates for the Rydberg platform. Different notions of optimality can be explored here: In the simplest case we just aim to perform the gate as fast as possible, giving a good practical performance without the need of specifying an explicit error model. If instead a specific error model is know, we can also find gate protocols which are robust to the dominant errors in this model, or convert those errors into erasure errors, which are easier to correct in a quantum error correction code [3,4]. Finally, I will present recent results on optimizing stabilizer measurements on the pulse level to minimize the logical error rate.
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