Device-independent quantum secret sharing with advanced random key generation basis

Fuente: arXiv
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Autores principales: Zhang, Qi, Ying, Jia-Wei, Wang, Zhong-Jian, Zhong, Wei, Du, Ming-Ming, Shen, Shu-Ting, Li, Xi-Yun, Zhang, An-Lei, Gu, Shi-Pu, Wang, Xing-Fu, Zhou, Lan, Sheng, Yu-Bo
Formato: Preprint
Publicado: 2024
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author Zhang, Qi
Ying, Jia-Wei
Wang, Zhong-Jian
Zhong, Wei
Du, Ming-Ming
Shen, Shu-Ting
Li, Xi-Yun
Zhang, An-Lei
Gu, Shi-Pu
Wang, Xing-Fu
Zhou, Lan
Sheng, Yu-Bo
author_facet Zhang, Qi
Ying, Jia-Wei
Wang, Zhong-Jian
Zhong, Wei
Du, Ming-Ming
Shen, Shu-Ting
Li, Xi-Yun
Zhang, An-Lei
Gu, Shi-Pu
Wang, Xing-Fu
Zhou, Lan
Sheng, Yu-Bo
contents Quantum secret sharing (QSS) enables a dealer to securely distribute keys to multiple players. Device-independent (DI) QSS can resist all possible attacks from practical imperfect devices and provide QSS the highest level of security in theory. However, DI QSS requires high-performance devices, especially for low-noise channels, which is a big challenge for its experimental demonstration. We propose a DI QSS protocol with the advanced random key generation basis strategy, which combines the random key generation basis with the noise preprocessing and postselection strategies. We develop the methods to simplify Eve's conditional entropy bound and numerically simulate the key generation rate in an acceptable time. Our DI QSS protocol has some advantages. First, it can increase the noise tolerance threshold from initial 7.147% to 9.231% (29.16% growth), and reduce the global detection efficiency threshold from 96.32% to 93.41%. The maximal distance between any two users increases to 1.43 km, which is about 5.5 times of the initial value. Second, by randomly selecting two basis combinations to generate the key, our DI QSS protocol can reduce the entanglement resource consumption. Our protocol has potential for DI QSS's experimental demonstration and application in the future.
format Preprint
id arxiv_https___arxiv_org_abs_2410_04003
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Device-independent quantum secret sharing with advanced random key generation basis
Zhang, Qi
Ying, Jia-Wei
Wang, Zhong-Jian
Zhong, Wei
Du, Ming-Ming
Shen, Shu-Ting
Li, Xi-Yun
Zhang, An-Lei
Gu, Shi-Pu
Wang, Xing-Fu
Zhou, Lan
Sheng, Yu-Bo
Quantum Physics
Quantum secret sharing (QSS) enables a dealer to securely distribute keys to multiple players. Device-independent (DI) QSS can resist all possible attacks from practical imperfect devices and provide QSS the highest level of security in theory. However, DI QSS requires high-performance devices, especially for low-noise channels, which is a big challenge for its experimental demonstration. We propose a DI QSS protocol with the advanced random key generation basis strategy, which combines the random key generation basis with the noise preprocessing and postselection strategies. We develop the methods to simplify Eve's conditional entropy bound and numerically simulate the key generation rate in an acceptable time. Our DI QSS protocol has some advantages. First, it can increase the noise tolerance threshold from initial 7.147% to 9.231% (29.16% growth), and reduce the global detection efficiency threshold from 96.32% to 93.41%. The maximal distance between any two users increases to 1.43 km, which is about 5.5 times of the initial value. Second, by randomly selecting two basis combinations to generate the key, our DI QSS protocol can reduce the entanglement resource consumption. Our protocol has potential for DI QSS's experimental demonstration and application in the future.
title Device-independent quantum secret sharing with advanced random key generation basis
topic Quantum Physics
url https://arxiv.org/abs/2410.04003