Approximate reconstructability of quantum states and noisy quantum secret sharing schemes
Approximate reconstructability of quantum states and noisy quantum secret sharing schemes
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DOI：
10.1103/physreva.108.012425
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发表时间：
2023-02
期刊：
影响因子：
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通讯作者：
Yingkai Ouyang;K. Goswami;J. Romero;B. Sanders;Min-Hsiu Hsieh;M. Tomamichel
中科院分区：
文献类型：
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作者：
Yingkai Ouyang;K. Goswami;J. Romero;B. Sanders;Min-Hsiu Hsieh;M. Tomamichel
我们介绍和分析近似的量子秘密共享在一个正式的密码设置，其中经销商编码和分发的量子秘密的球员，授权的结构（集的子集的球员）可以近似重建的量子秘密和全能的对抗代理控制非授权的子集的球员近似拒绝的量子秘密。特别是，查看地图编码的量子秘密的份额为玩家在一个授权的结构作为一个量子信道，我们表明，近似的可重构性的量子秘密，这些球员是可能的，当且仅当信息泄漏，给定的补充量子信道的一定的纠缠辅助能力的球员以外的结构和环境，是小的。
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.