Computing on Quantum Shared Secrets for General Quantum Access Structures
| Autor: | Bassirian, Roozbeh, Boreiri, Sadra, Karimipour, Vahid |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Bassirian, R., Boreiri, S. & Karimipour, V. Quantum Inf Process (2019) 18: 109. https://doi.org/10.1007/s11128-019-2224-7 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s11128-019-2224-7 |
| Popis: | Quantum secret sharing is a method for sharing a secret quantum state among a number of individuals such that certain authorized subsets of participants can recover the secret shared state by collaboration and other subsets cannot. In this paper, we first propose a method for sharing a quantum secret in a basic $(2,3)$ threshold scheme, only by using qubits and the 7-qubit CSS code. Based on this $(2,3)$ scheme, we propose a new $(n, n)$ scheme and we also construct a quantum secret sharing scheme for any quantum access structure by induction. Secondly, based on the techniques of performing quantum computation on 7-qubit CSS codes, we introduce a method that authorized subsets can perform universal quantum computation on this shared state, without the need for recovering it. This generalizes recent attempts for doing quantum computation on $(n, n)$ threshold schemes. Comment: 17 pages |
| Databáze: | arXiv |
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