Three-party quantum secret sharing against collective noise

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In this paper, based on logical GHZ states and logical χ-states, we present four three-party quantum secret sharing protocols immune to the collective-dephasing noise and the collective-rotation noise, respectively. They make full use of the measurement correlation property of multi-particle entangled states and local unitary operations. Compared with existing three-party quantum secret sharing protocols against collective noise, our protocols are the most efficient. Furthermore, these protocols are congenitally free from the Trojan horse attacks.

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This work was supported by the National Natural Science Foundation of China (Grant Nos. 61572053, 61671087, U1636106, 61602019, 61571226, 61701229, 61702367); Beijing Natural Science Foundation (Grant No. 4182006); Natural Science Foundation of Jiangsu Province, China (Grant No. BK20170802); Jiangsu Postdoctoral Science Foundation; Guangxi Key Laboratory of Cryptography and Information Security.

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Correspondence to Yu-Guang Yang.

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Yang, Y., Gao, S., Li, D. et al. Three-party quantum secret sharing against collective noise. Quantum Inf Process 18, 215 (2019) doi:10.1007/s11128-019-2319-1

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  • Quantum cryptography
  • Quantum secret sharing
  • Collective noise
  • Qubit efficiency