Write
153
edits
Quantum Cheque: Difference between revisions
no edit summary
No edit summary |
|||
| Line 57: | Line 57: | ||
* <math>sk</math>: Account holder's private key. | * <math>sk</math>: Account holder's private key. | ||
* <math>s</math>: Unique serial number where <math>s \in \{0,1\}^{l(n)}</math>. | * <math>s</math>: Unique serial number where <math>s \in \{0,1\}^{l(n)}</math>. | ||
* <math>{|\phi^{(i)}\rangle_{GHZ}}</math>: <math>n</math> GHZ triplet states where, | * <math>{|\phi^{(i)}\rangle_{GHZ}}</math> or <math>{\rho^{(i)}_{GHZ}}</math>: <math>n</math> GHZ triplet states where, | ||
<div style="text-align: center;"><math>|\phi^{(i)}\rangle_{GHZ} = \frac{1}{\sqrt{2}}(|0^{(i)}\rangle_{A_1}|0^{(i)}\rangle_{A_2}|0^{(i)}\rangle_{B} + |1^{(i)}\rangle_{A_1}|1^{(i)}\rangle_{A_2}|1^{(i)}\rangle_{B})</math></div> | <div style="text-align: center;"><math>|\phi^{(i)}\rangle_{GHZ} = \rho^{(i)}_{GHZ} = \frac{1}{\sqrt{2}}(|0^{(i)}\rangle_{A_1}|0^{(i)}\rangle_{A_2}|0^{(i)}\rangle_{B} + |1^{(i)}\rangle_{A_1}|1^{(i)}\rangle_{A_2}|1^{(i)}\rangle_{B})</math></div> | ||
* <math>{|\phi^{(i)}\rangle_{A_1}}</math>: First entangled qubit from every GHZ triplet state which is given to account holder. | * <math>{|\phi^{(i)}\rangle_{A_1}}</math>: First entangled qubit from every GHZ triplet state which is given to account holder. | ||
* <math>{|\phi^{(i)}\rangle_{A_2}}</math>: Second entangled qubit from every GHZ triplet state which is given to account holder. | * <math>{|\phi^{(i)}\rangle_{A_2}}</math>: Second entangled qubit from every GHZ triplet state which is given to account holder. | ||