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* The holder measures the quantum registers corresponding to the elements of <math>L_{hl}</math> in order to produce <math>2t/3</math> pairs <math>(a_i, b_i)</math>, such that <math>(x_i,m_i, a_i, b_i)\in HMP_4</math> for all <math>i \in L_{hl}</math>. He sends the list of <math>(a_i, b_i)</math>s to the TTP. | * The holder measures the quantum registers corresponding to the elements of <math>L_{hl}</math> in order to produce <math>2t/3</math> pairs <math>(a_i, b_i)</math>, such that <math>(x_i,m_i, a_i, b_i)\in HMP_4</math> for all <math>i \in L_{hl}</math>. He sends the list of <math>(a_i, b_i)</math>s to the TTP. | ||
* The TTP checks whether <math>(x_i,m_i, a_i, b_i)\in HMP_4</math> for all <math>i \in L_{hl}</math>, in which case it confirms validity of the quantum coin. Otherwise, the coin is declared to be a counterfeit. | * The TTP checks whether <math>(x_i,m_i, a_i, b_i)\in HMP_4</math> for all <math>i \in L_{hl}</math>, in which case it confirms validity of the quantum coin. Otherwise, the coin is declared to be a counterfeit. | ||
==Further Information== | ==Further Information== | ||
Gavinsky, Dmitry. "Quantum money with classical verification." 2012 IEEE 27th Conference on Computational Complexity. IEEE, 2012, Available at: http://users.math.cas.cz/~gavinsky/papers/QuMoClaV.pdf | Gavinsky, Dmitry. "Quantum money with classical verification." 2012 IEEE 27th Conference on Computational Complexity. IEEE, 2012, Available at: http://users.math.cas.cz/~gavinsky/papers/QuMoClaV.pdf | ||
<div style='text-align: right;'>''*contributed by Mashid Delavar''</div> | |||