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This study reveals a design flaw in the semi-quantum key distribution (SQKD) robust against combined collective noise [International Journal of Theoretical Physics, Vol. 57, Issue 11 (2018) 3410–3418]. With this flaw, Tsai and Hwang’s SQKD protocol violates the definition of a semi-quantum environment. To solve this flaw, an improved SQKD protocol based on Tsai and Hwang’s scheme is proposed.
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