From: Quantum identity authentication based on the extension of quantum rotation
Initial state | \(k_{\mathrm{ide}}\) | \(l_{i}\) | \(k_{b}\) | \(k_{\mathrm{app}}\) | \(k_{\mathrm{ver}}\) | \(\vert \Psi{_{\mathrm{app}}}(\theta _{n})\rangle \) | \(\vert \Psi{_{\mathrm{ide}}} (\theta _{n})\rangle\) | \(\vert \Psi{_{\mathrm{ver}}}(\theta _{n})\rangle \) | Results |
---|---|---|---|---|---|---|---|---|---|
|0〉 | 0 | 1 | 8 | 2 | 6 | \(R(\frac{\pi}{4})\vert 0\rangle \) | \(R(\frac{\pi}{4})\vert 0\rangle \) | R(π)|0〉 | |1〉 |
|0〉 | 1 | 0 | −1 | −10 | 9 | \(R(-\frac{5\pi}{4})\vert 0\rangle \) | \(R(-\frac{9\pi}{8})\vert 0\rangle \) | R(0)|0〉 | |0〉 |
|0〉 | 2 | 0 | −2 | −1 | −1 | \(R(-\frac{\pi}{8})\vert 0\rangle \) | \(R(\frac{\pi}{8})\vert 0\rangle \) | R(0)|0〉 | |0〉 |
|0〉 | 3 | 1 | 5 | −11 | 16 | \(R(-\frac{11\pi}{8})\vert 0\rangle \) | R(−π)|0〉 | R(π)|0〉 | |1〉 |