Đã lưu trong:
| Những tác giả chính: | , |
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| Định dạng: | Preprint |
| Được phát hành: |
2026
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| Những chủ đề: | |
| Truy cập trực tuyến: | https://arxiv.org/abs/2602.08410 |
| Các nhãn: |
Thêm thẻ
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Mục lục:
- Using a finite geometric framework for studying the pentagon and heptagon codes we show that the concepts of quantum secret sharing and contextuality can be studied in a nice and unified manner. The basic idea is a careful study of the respective $2+3$ and $3+4$ tensorial factorizations of the elements of the stabilizer groups of these codes. It is demonstrated in detail how finite geometric structures entailing a specific three-qubit (resp. four-qubit) embedding of binary symplectic polar spaces of rank two (resp. three), corresponding to these factorizations, govern issues of contextuality and entanglement needed for a geometric understanding of quantum secret sharing. Using these results for the $(3,5)$ and $(4,7)$ threshold schemes explicit secret breaking protocols are derived. Our results hint at a novel geometric way of looking at contextual configurations.