Table 1 Coding rule \(G_1\).

From: Controlled quantum authentication confidential communication protocol for smart healthcare

Particle states

Binary bites

\(|\phi ^{+}\rangle _{13}\) (\(|\phi ^{+}\rangle _{24}\))

00

\(|\phi ^{-}\rangle _{13}\) (\(|\phi ^{-}\rangle _{24}\))

01

\(|\psi ^{+}\rangle _{13}\) (\(|\psi ^{+}\rangle _{24}\))

10

\(|\psi ^{-}\rangle _{13}\) (\(|\psi ^{-}\rangle _{24}\))

11

\(|0\rangle _{1}\) \(|0\rangle _{3}\) (\(|0\rangle _{2}\) \(|0\rangle _{4}\))

00

\(|0\rangle _{1}\) \(|1\rangle _{3}\) (\(|0\rangle _{2}\) \(|1\rangle _{4}\))

01

\(|1\rangle _{1}\) \(|0\rangle _{3}\) (\(|1\rangle _{2}\) \(|0\rangle _{4}\))

10

\(|1\rangle _{1}\) \(|1\rangle _{3}\) (\(|1\rangle _{2}\) \(|1\rangle _{4}\))

11