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arXiv:2610.37807 · v1

Lower Bound for Region of Non-Distillable Magic States

首次提交 2026-10-28 02:25
版本更新 2026-10-28 02:25
雷达观测 2026-10-30 10:23
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摘要

Magic states are a leading proposal for realizing fault-tolerant and universal quantum computation. At the present moment, much of the theory of magic states is not understood. Even simple questions such as what single qubit states have magic remain open. In Campbell and Browne's seminal paper on bound magic states, they prove the existence of states outside of the stabilizer octahedron which cannot be used to achieve universal computation. In this paper we expand upon their proof and determine a lower-bound on this region.

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v1 · 2026-10-28 02:25 · 最新观测版本

Lower Bound for Region of Non-Distillable Magic States

Magic states are a leading proposal for realizing fault-tolerant and universal quantum computation. At the present moment, much of the theory of magic states is not understood. Even simple questions such as what single qubit states have magic remain open. In Campbell and Browne's seminal paper on bound magic states, they prove the existence of states outside of the stabilizer octahedron which cannot be used to achieve universal computation. In this paper we expand upon their proof and determine a lower-bound on this region.

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