Multi-Qubit Parity Gates for Rydberg Atoms in Various Configurations
Javad Kazemi, Michael Schuler, Christian Ertler, Wolfgang Lechner

TL;DR
This paper introduces a global phase modulation technique for high-fidelity, multi-qubit parity gates in neutral atom systems, adaptable to various atomic configurations and noise conditions.
Contribution
It develops a noise-aware optimal control method for implementing multi-qubit parity gates without individual addressing, accommodating different atomic arrangements.
Findings
Achieved high-fidelity entangling gates with phase shaping.
Demonstrated robustness against noise and inhomogeneity.
Supported reliable multi-qubit operations in various configurations.
Abstract
We present a native approach for realizing multi-qubit parity phase gates in neutral atom systems through global phase modulation of a Rydberg excitation laser. By shaping the temporal profile of the laser's phase, we enable high fidelity, time efficient entangling operations between multiple qubits without requiring individual qubit addressing. To mitigate intrinsic noise sources including spontaneous decay and motional effects, we develop a noise-aware optimal control framework that reduces gate errors under the presence of noise while maintaining smooth pulse profiles suitable for experimental implementation. In addition to equidistant qubit arrangements, we explore the impact of non-equidistant atomic configurations, where interaction inhomogeneity becomes significant. In these cases, the flexibility of our control approach helps to compensate for such variations, supporting…
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