Quantum designated verifier signature scheme based on quantum walk

No.	ibmq_qasm_simulator		ibmq_quito
No.	Valid/%	Invalid/%	Valid/%	Invalid/%
1	100.000	0	88.123	11.877%
2	100.000	0	90.234	9.766%
3	100.000	0	78.308	21.692%
4	100.000	0	79.675	21.325%
5	100.000	0	90.161	9.839%
6	100.000	0	77.063	22.937%
7	100.000	0	87.415	12.585%
8	100.000	0	79.993	20.007%

Table 1. Measurement results corresponding to Pauli operations
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Table 1. Measurement results corresponding to Pauli operations
$L_{a}$ $|K_{a 1} K_{a 2}〉$ Pauli 操作重构 $|K_{a 1} K_{a 2}〉$
0 $|ϕ^{+}〉$ I $|ϕ^{+}〉$
1 $|ψ^{+}〉$ X $|ϕ^{+}〉$

Table 2. Relationship between measurement results and Pauli operations
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Table 2. Relationship between measurement results and Pauli operations
$λ_{P}$ $λ_{1}$ $A_{2}$ Pauli 操作
0 0 $α |0〉 + β |1〉$ I
0 1 $α |0〉 - β |1〉$ Z
1 0 $α |1〉 + β |0〉$ X
1 1 $α |1〉 - β |0〉$ ZX

Table 3. Experimental results of quantum key generation circuit
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Table 3. Experimental results of quantum key generation circuit
Running environment SER of $|00〉$ /% SER of $|01〉$ /% SER of $|10〉$ /% SER of $|11〉$ /%
ibmq_qasm_simulator 50.073 0 0 49.927
ibmq_quito 46.656 4.578 1.624 47.144

Table 5. Comparison of the similar schemes

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Table 5. Comparison of the similar schemes

对比项	文献 [14]	文献 [17]	文献 [18]	文献 [20]	本方案
初始量子态	GHZ态	Bell态	单光子	单光子	单光子
预共享密钥	是	是	否	否	否
量子信息传输方式	隐形传态	隐形传态	传输粒子	传输粒子	隐形传态
是否需要量子态比较	是	否	否	是	否
抗纠缠攻击的安全性是否优越	否	否	否	否	是
是否开展了方案模拟实验	否	否	否	否	是

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Xiaoping LOU, Zhou FAN, Qiyue GE. Quantum designated verifier signature scheme based on quantum walk[J]. Chinese Journal of Quantum Electronics, 2024, 41(6): 942

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