46
edits
Quantum voting based on conjugate coding: Difference between revisions
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→Protocol Description
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*'''Setup phase''': | *'''Setup phase''': | ||
#EA picks a vector <math> \bar{b} = (b_1, . . . , b_{n+1}) \in \{0, 1\}^{n+1}</math> that will be kept secret from T until the end of the ballot casting phase. | #EA picks a vector <math> \bar{b} = (b_1, . . . , b_{n+1}) \in \{0, 1\}^{n+1}</math> that will be kept secret from T until the end of the ballot casting phase. | ||
#For each <math>V_k</math>, EA prepares w = poly(n) blank ballot fragments each of the form <math>|\phi_{a_j^1,b_1}\rangle=|\psi_{a_j^1,b_1}\rangle \otimes ...\otimes |\psi_{a_j^{n+1},b_{n+1}}\rangle,j \in \{1,...,w\}</math> where <math>\bar{a}_j=(a_j^1,...,a_j^{n+1}) \text { such that }(a_j^1,...,a_j^{n})\in \{0,1\}^n,a_j^{n+1}=a_j^1 \oplus ...\oplus a_j^{n} | #For each <math>V_k</math>, EA prepares w = poly(n) blank ballot fragments each of the form <math>|\phi_{a_j^1,b_1}\rangle=|\psi_{a_j^1,b_1}\rangle \otimes ...\otimes |\psi_{a_j^{n+1},b_{n+1}}\rangle,j \in \{1,...,w\}</math> where <math>\bar{a}_j=(a_j^1,...,a_j^{n+1}) \text { such that }(a_j^1,...,a_j^{n})\in \{0,1\}^n,a_j^{n+1}=a_j^1 \oplus ...\oplus a_j^{n}</math> and <math> |\psi_{0,0}\rangle=|0\rangle,|\psi_{1,0}\rangle=|1\rangle,|\psi_{0,1}\rangle=\dfrac{1}{\sqrt{2}}(|0\rangle+|1\rangle),|\psi_{1,1}\rangle=\dfrac{1}{\sqrt{2}}(|0\rangle-|1\rangle) </math> | ||
#EA sends one blank ballot to each <math> V_k </math> over an authenticated channel. | #EA sends one blank ballot to each <math> V_k </math> over an authenticated channel. | ||
*'''Casting phase''': | *'''Casting phase''': | ||