论文标题

最小内向作为一次性私人状态转移,量子掩蔽和状态过渡的资源

The Min-entropy as a Resource for One-Shot Private State Transfer, Quantum Masking and State Transition

论文作者

Lie, Seok Hyung, Choi, Seongjeon, Jeong, Hyunseok

论文摘要

我们为量子状态的最小渗透赋予了操作含义,作为各种互连任务的资源度量。特别是,我们表明,当使用量子状态用作随机性/相关源时,最小值无需平滑的量子量可以在单发设置中完美地隐藏或编码的量子信息量。首先,我们表明,当该状态用作量子一键板时,纯二分状状态的纠缠最小量子数是私人转移的最大数量。然后,通过量子秘密共享(QSS)类似协议的等效性,还表明,量子状态的最小室内镜头是当状态被用作量子掩蔽过程的随机性源时,可以掩盖的最大量子数。因此,我们表明,量子状态的最小渗透是它可以催化去开发的量子状态大小的一半。这为状态过渡过程提供了催化剂的必要条件。

We give an operational meaning to the min-entropy of a quantum state as a resource measure for various interconnected tasks. In particular, we show that the min-entropy without smoothing measures the amount of quantum information that can be hidden or encoded perfectly in the one-shot setting when the quantum state is used as a randomness/correlation source. First, we show that the min-entropy of entanglement of a pure bipartite state is the maximum number of qubits privately transferable when the state is used as quantum one-time pad. Then, through the equivalence of quantum secret sharing(QSS)-like protocols, it is also shown that the min-entropy of a quantum state is the maximum number of qubits that can be masked when the state is used as a randomness source for a quantum masking process. Consequently we show that the min-entropy of a quantum state is the half of the size of quantum state it can catalytically dephase.This gives a necessary and sufficient condition for catalysts for state transition processes.

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