Three-party quantum secret sharing against collective noise

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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