Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms
arXiv:2202.00903 · doi:10.22331/q-2022-05-13-712
Abstract
We identify time-optimal laser pulses to implement the controlled-Z gate and its three qubit generalization, the CZ gate, for Rydberg atoms in the blockade regime. Pulses are optimized using a combination of numerical and semi-analytical quantum optimal control techniques that result in smooth Ansätze with just a few variational parameters. For the CZ gate, the time-optimal implementation corresponds to a global laser pulse that does not require single site addressability of the atoms, simplifying experimental implementation of the gate. We employ quantum optimal control techniques to mitigate errors arising due to the finite lifetime of Rydberg states and finite blockade strengths, while several other types of errors affecting the gates are directly mitigated by the short gate duration. For the considered error sources, we achieve theoretical gate fidelities compatible with error correction using reasonable experimental parameters for CZ and CZ gates.
arXiv commentadded link to data repository with pulses in csv format, minor changes
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