Approximate reconstructability of quantum states and noisy quantum secret sharing schemes
| Autor: | Ouyang, Y, Goswami, K, Romero, J, Sanders, BC, Hsieh, M-H, Tomamichel, M |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Popis: | We introduce and analyse approximate quantum secret sharing in a formal cryptographic setting, wherein a dealer encodes and distributes a quantum secret to players such that authorized structures (sets of subsets of players) can approximately reconstruct the quantum secret and omnipotent adversarial agents controlling non-authorized subsets of players are approximately denied the quantum secret. In particular, viewing the map encoding the quantum secret to shares for players in an authorized structure as a quantum channel, we show that approximate reconstructability of the quantum secret by these players is possible if and only if the information leakage, given in terms of a certain entanglement-assisted capacity of the complementary quantum channel to the players outside the structure and the environment, is small. 6 pages, 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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