(t, n) Threshold Quantum State Sharing Scheme Based on Linear Equations and Unitary Operation
Quantum state sharing (QSTS) plays an important role in transporting, managing, and distributing keys. In this paper, by adopting the linear equation instead of using the Lagrange interpolation, a new idea of constructing (t, n) threshold quantum state sharing scheme is proposed. The best innovation...
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IEEE
2017-01-01
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| Series: | IEEE Photonics Journal |
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| Online Access: | https://ieeexplore.ieee.org/document/7831492/ |
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| author | Cao Hao Ma Wenping |
| author_facet | Cao Hao Ma Wenping |
| author_sort | Cao Hao |
| collection | DOAJ |
| description | Quantum state sharing (QSTS) plays an important role in transporting, managing, and distributing keys. In this paper, by adopting the linear equation instead of using the Lagrange interpolation, a new idea of constructing (t, n) threshold quantum state sharing scheme is proposed. The best innovation is that a new tool in constructing (t, n) threshold structure is proposed. In this scheme, the dealer who possesses a sequence of one-particle unknown quantum states intends to share it with n participants and authorizes t out of them cooperate to reconstruct the sequence. First, the equations decided by the private key of dealer are constructed. Second, the dealer distributes the private keys of n participants by using the solutions to the equations just mentioned. Finally, the dealer encodes the sequence through a unitary operation, and any t out of the n participants recover the initial quantum state sequence through the unitary operations decided by the solutions to the linear equations. Compared to the existing schemes, the proposed scheme is easily realized in physical experiment, and its successful probability is 100% theoretically. |
| format | Article |
| id | doaj-art-7daaef8cbaef4049b278c61cece84d98 |
| institution | Kabale University |
| issn | 1943-0655 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Photonics Journal |
| spelling | doaj-art-7daaef8cbaef4049b278c61cece84d982025-08-20T03:32:36ZengIEEEIEEE Photonics Journal1943-06552017-01-01911710.1109/JPHOT.2017.26572327831492(t, n) Threshold Quantum State Sharing Scheme Based on Linear Equations and Unitary OperationCao Hao0Ma Wenping1State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, P. R. ChinaState Key Laboratory of Integrated Services Networks, Xidian University, Xi'an, P. R. ChinaQuantum state sharing (QSTS) plays an important role in transporting, managing, and distributing keys. In this paper, by adopting the linear equation instead of using the Lagrange interpolation, a new idea of constructing (t, n) threshold quantum state sharing scheme is proposed. The best innovation is that a new tool in constructing (t, n) threshold structure is proposed. In this scheme, the dealer who possesses a sequence of one-particle unknown quantum states intends to share it with n participants and authorizes t out of them cooperate to reconstruct the sequence. First, the equations decided by the private key of dealer are constructed. Second, the dealer distributes the private keys of n participants by using the solutions to the equations just mentioned. Finally, the dealer encodes the sequence through a unitary operation, and any t out of the n participants recover the initial quantum state sequence through the unitary operations decided by the solutions to the linear equations. Compared to the existing schemes, the proposed scheme is easily realized in physical experiment, and its successful probability is 100% theoretically.https://ieeexplore.ieee.org/document/7831492/Quantum secret sharing (QSS)quantum state sharing (QSTS)linear equationunitary operation. |
| spellingShingle | Cao Hao Ma Wenping (t, n) Threshold Quantum State Sharing Scheme Based on Linear Equations and Unitary Operation IEEE Photonics Journal Quantum secret sharing (QSS) quantum state sharing (QSTS) linear equation unitary operation. |
| title | (t, n) Threshold Quantum State Sharing Scheme Based on Linear Equations and Unitary Operation |
| title_full | (t, n) Threshold Quantum State Sharing Scheme Based on Linear Equations and Unitary Operation |
| title_fullStr | (t, n) Threshold Quantum State Sharing Scheme Based on Linear Equations and Unitary Operation |
| title_full_unstemmed | (t, n) Threshold Quantum State Sharing Scheme Based on Linear Equations and Unitary Operation |
| title_short | (t, n) Threshold Quantum State Sharing Scheme Based on Linear Equations and Unitary Operation |
| title_sort | t n threshold quantum state sharing scheme based on linear equations and unitary operation |
| topic | Quantum secret sharing (QSS) quantum state sharing (QSTS) linear equation unitary operation. |
| url | https://ieeexplore.ieee.org/document/7831492/ |
| work_keys_str_mv | AT caohao tnthresholdquantumstatesharingschemebasedonlinearequationsandunitaryoperation AT mawenping tnthresholdquantumstatesharingschemebasedonlinearequationsandunitaryoperation |