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Bibliographic Details
Main Authors: Nakayama, Yasuaki, Takeuchi, Yuki, Akibue, Seiseki
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.13169
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Table of Contents:
  • It is known that a computationally universal gate set $\{H,CCZ\}$ can be transformed to a strictly universal one $\{H, Λ(S)\}$ using one maximally imaginary state $|+i \rangle$ and non-imaginary ancillary qubits. We succeed this transformation with a shorter circuit that eliminates non-imaginary ancillary qubits. We further extend this to the continuous gate-set setting, showing that any multi-qubit unitary can be exactly generated by real single-qubit unitary gates, $CCZ$ gates and $|0 \rangle |+i \rangle$.