Magic state distillation without measurements and post-selection

Sascha Heußen · 2025 · APL Quantum

| 编号 QE318 | 主题 容错协议 | 链接 arXiv:2504.17509 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

Magic state distillation (MSD) is a quantum algorithm that enables performing logical non-Clifford gates with, in principle, arbitrarily low noise levels. It is typically assumed herein that logical Clifford gates can be executed without noise. Therefore, MSD is a standard subroutine used to obtain a fault-tolerant universal set of quantum gate operations on error-corrected logical qubits. Well-known schemes conventionally rely on performing operator measurements and post-selection based on the measurement result, which makes distillation protocols non-deterministic in the presence of noise. In this work, we adapt the 15-to-1 MSD protocol such that it deterministically suppresses noise by using a coherent feedback network on the output states without the need to perform individual-qubit measurements. These advantages over textbook MSD come at the price of reducing the noise suppression per round from O(p3) to O(p2). Our technique can be applied to any MSD protocol with an acceptance rate of 1 in the absence of noise. It may be desirable to use our scheme if the coherent feedback network can be executed faster and more reliably than the measurements, and/or if logical clock cycles i

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