Choi Minjin, Lee Soojoon
Department of Mathematics and Research, Institute for Basic Sciences, Kyung Hee University, Seoul, 02447, Korea.
Sci Rep. 2021 Oct 26;11(1):21095. doi: 10.1038/s41598-021-00547-5.
We look into multipartite quantum states on which quantum cryptographic protocols including quantum key distribution and quantum secret sharing can be perfectly performed, and define the quantum cryptographic resource distillable rate as the asymptotic rate at which such multipartite state can be distilled from a given multipartite state. Investigating several relations between entanglement and the rate, we show that there exists a multipartite bound entangled state whose quantum cryptographic resource distillable rate is strictly positive, that is, there exists a multipartite entangled state which is not distillable, but can be useful for quantum cryptography such as quantum key distribution and quantum secret sharing.
我们研究了多体量子态，在其上可以完美执行包括量子密钥分发和量子秘密共享在内的量子密码协议，并将量子密码资源可提取率定义为从给定多体态中提取此类多体态的渐近速率。通过研究纠缠与该速率之间的几种关系，我们表明存在一种多体束缚纠缠态，其量子密码资源可提取率严格为正，即存在一种多体纠缠态，它不可提取，但可用于量子密钥分发和量子秘密共享等量子密码学。
