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We propose an exotic multi-qubit Toffoli gate protocol via asymmetric Rydbergblockade, benefiting from the use of a spheroidal configuration to optimize thegate performance. The merit of a spheroidal structure lies in a wellpreservation of strong blocked energies between all control-target atom pairswithin the sphere, which can persistently keep the blockade error at a lowlevel. On the basis of optimization for three different types of$(2+1)$-$qubit$ gate units to minimize the antiblockade error, the gatefidelity of an optimal $(6+1)$-$qubit$ configuration can attain as high as$0.9841$ mainly contributed by the decay error. And the extension with muchmore control atoms is also discussed. Our findings may shed light on scalableneutral-atom quantum computation in special high-dimensional arrays.

Spheroidal-structure-based multi-qubit Toffoli gate via asymmetric Rydberg interaction