Advance Sharing Procedures for the Ramp Quantum Secret Sharing Schemes With the Highest Coding Rate
In some quantum secret sharing schemes, it is known that some shares can be distributed to participants before a secret is given to the dealer. However, it is unclear whether some shares can be distributed before a secret is given in the ramp quantum secret sharing schemes with the highest coding ra...
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| Format: | Article |
| Language: | English |
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IEEE
2025-01-01
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| Series: | IEEE Transactions on Quantum Engineering |
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| Online Access: | https://ieeexplore.ieee.org/document/10844313/ |
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| author | Ryutaroh Matsumoto |
| author_facet | Ryutaroh Matsumoto |
| author_sort | Ryutaroh Matsumoto |
| collection | DOAJ |
| description | In some quantum secret sharing schemes, it is known that some shares can be distributed to participants before a secret is given to the dealer. However, it is unclear whether some shares can be distributed before a secret is given in the ramp quantum secret sharing schemes with the highest coding rate. This article proposes procedures to distribute some shares before a secret is given in those schemes. The new procedures enhance the applicability of the secret sharing schemes to wider scenarios as some participants can be unavailable when the dealer obtains the quantum secret. Then, it is proved that our new encoding procedures retain the correspondences between quantum secrets and quantum shares in the original schemes, which ensures that the highest coding rates of the original schemes are also retained. |
| format | Article |
| id | doaj-art-7ee9d15708e445c0b352a023d02b79c5 |
| institution | Kabale University |
| issn | 2689-1808 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Transactions on Quantum Engineering |
| spelling | doaj-art-7ee9d15708e445c0b352a023d02b79c52025-02-05T00:01:23ZengIEEEIEEE Transactions on Quantum Engineering2689-18082025-01-0161710.1109/TQE.2025.353093910844313Advance Sharing Procedures for the Ramp Quantum Secret Sharing Schemes With the Highest Coding RateRyutaroh Matsumoto0https://orcid.org/0000-0002-5085-8879Department of Information and Communications Engineering, Institute of Science Tokyo, Tokyo, JapanIn some quantum secret sharing schemes, it is known that some shares can be distributed to participants before a secret is given to the dealer. However, it is unclear whether some shares can be distributed before a secret is given in the ramp quantum secret sharing schemes with the highest coding rate. This article proposes procedures to distribute some shares before a secret is given in those schemes. The new procedures enhance the applicability of the secret sharing schemes to wider scenarios as some participants can be unavailable when the dealer obtains the quantum secret. Then, it is proved that our new encoding procedures retain the correspondences between quantum secrets and quantum shares in the original schemes, which ensures that the highest coding rates of the original schemes are also retained.https://ieeexplore.ieee.org/document/10844313/Advance sharingquantum secret sharingramp secret sharing |
| spellingShingle | Ryutaroh Matsumoto Advance Sharing Procedures for the Ramp Quantum Secret Sharing Schemes With the Highest Coding Rate IEEE Transactions on Quantum Engineering Advance sharing quantum secret sharing ramp secret sharing |
| title | Advance Sharing Procedures for the Ramp Quantum Secret Sharing Schemes With the Highest Coding Rate |
| title_full | Advance Sharing Procedures for the Ramp Quantum Secret Sharing Schemes With the Highest Coding Rate |
| title_fullStr | Advance Sharing Procedures for the Ramp Quantum Secret Sharing Schemes With the Highest Coding Rate |
| title_full_unstemmed | Advance Sharing Procedures for the Ramp Quantum Secret Sharing Schemes With the Highest Coding Rate |
| title_short | Advance Sharing Procedures for the Ramp Quantum Secret Sharing Schemes With the Highest Coding Rate |
| title_sort | advance sharing procedures for the ramp quantum secret sharing schemes with the highest coding rate |
| topic | Advance sharing quantum secret sharing ramp secret sharing |
| url | https://ieeexplore.ieee.org/document/10844313/ |
| work_keys_str_mv | AT ryutarohmatsumoto advancesharingproceduresfortherampquantumsecretsharingschemeswiththehighestcodingrate |