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Paper 1

Presentation of a New Decoder Based on Quantum Cellular Automata Technology Along with an Analysis of Energy Consumption

Mostafa Sadeghi, Sanaz Asadinia, Mehdi Hamidkhani, Faezeh Memarzadeh Zavareh

Year
2023
Journal
2023 14th International Conference on Information and Knowledge Technology (IKT)
DOI
10.1109/ikt62039.2023.10433021
arXiv
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No abstract.

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Paper 2

Efficient magic state cultivation with lattice surgery

Yutaka Hirano, Riki Toshio, Tomohiro Itogawa, Keisuke Fujii

Year
2025
Journal
arXiv preprint
DOI
arXiv:2510.24615
arXiv
2510.24615

Magic state distillation plays a crucial role in fault-tolerant quantum computation and represents a major bottleneck. In contrast to traditional logical-level distillation, physical-level distillation offers significant overhead reduction by enabling direct implementation with physical gates. Magic state cultivation is a state-of-the-art physical-level distillation protocol that is compatible with the square-grid connectivity and yields high-fidelity magic states. However, it relies on the complex grafted code, which incurs substantial spacetime overhead and complicates practical implementation. In this work, we propose an efficient cultivation-based protocol compatible with the square-grid connectivity. We reduce the spatial overhead by avoiding the grafted code and further reduce the average spacetime overhead by utilizing code expansion and enabling early rejection. Numerical simulations show that, with a color code distance of 3 and a physical error probability of $10^{-3}$, our protocol achieves a logical error probability for the resulting magic state comparable to that of magic state cultivation ($\approx 3 \times 10^{-6}$), while requiring about half the spacetime overhead. Our work provides an efficient and simple distillation protocol suitable for megaquop use cases and early fault-tolerant devices.

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