Editing Quantum Token (section)

==Protocol Description==
'''Input:''' Bank (<math>\text{n*r}</math> qubit pairs), where, qubit-pairs <math>\epsilon_R\{(0,+),(0,-),(1,+),(1,-),(+,0),(-,0),(+,1),(-,1)\}</math> </br>
'''Output:''' (Merchant) accept or reject</br>
<u>'''Stage 1'''</u> Preparation </br>
# Bank prepares Token<math>_S</math> with <math>n*r</math> qubit pairs
# Bank distributes tickets to clients
# Bank distributes the classical record of states corresponding to S to trusted verifiers (merchants).

<u>'''Stage 2'''</u> Interaction </br>
# Merchant asks client to measure a few qubit-pairs(say, a row) in a randomly chosen basis M <math> \epsilon_R \{X,Z\}</math>
# Client returns measurement outcome (m) for all qubit pairs asked to measure
<u>'''Stage 3'''</u> Transaction </br>
# Merchant compares the number of qubit pairs with the valid outcome for the qubit which was generated in M basis as k.
# Merchant accepts if <math>k/(r*2)>F^{cv}_{tol}</math> else he rejects