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Every architecture of six two-qubit gates is locally universal on three qubits

Year: 2026
Type: preprint
Abstract: We present the first analytical determination of the exact accessible dimension for every fixed architecture of arbitrary two-qubit gates on three qubits. Every reduced six-slot support word is locally universal, including the alternating nearest-neighbor line. Thus, any obstruction to global universality with six two-qubit gates must go beyond parameter counting, connectivity, and differential rank.
Author: Cha, HyunHo
Language: English
Open Access status: green
OpenAlex ID: W7204919197
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