Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms
- URL: http://arxiv.org/abs/2202.00903v2
- Date: Sun, 8 May 2022 15:40:29 GMT
- Title: Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms
- Authors: Sven Jandura, Guido Pupillo
- Abstract summary: We implement the controlled-Z gate and its threebit qubit generalization, the C$$Z gate, for Rydberg atoms in the blockade regime.
For the CZ gate, the time-optimal implementation corresponds to a global laser pulse that does not require single site addressability of the atoms.
We employ quantum optimal control techniques to mitigate errors arising due to the finite lifetime of Rydberg states and finite blockade strengths.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We identify time-optimal laser pulses to implement the controlled-Z gate and
its three qubit generalization, the C$_2$Z 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
Ans\"atze 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 C$_2$Z gates.
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