Gottesman and Chuang Quantum Digital Signature: Difference between revisions

Gottesman and Chuang Quantum Digital Signature (edit)

459 bytes removed , 28 May 2019

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 *'''Input''' L
 *'''Output''' Seller: <math>\{k_0^i, k_1^i\}</math>, <math>1\le i\ge M</math>, <math>\{f_{k_0^i}, f_{k_1^i}\}</math>
-**'''Key Distribution:'''
+#For m = 0,1
-#For k = 0,1
 ##For i=0,M
-##Seller
+###Seller generates k_m^i
-**'''State Elimination:'''
+###Seller performs <math>k_m^i\rightarrow f_{k_m^i}</math>
-#For k = 0,1
+Method 1: Trusted Party
-##For l = 1,2,...,L
-###	Buyer chooses <math>b^k_l \epsilon_R {0,1}</math>
-###If <math>b^k_l=0</math>, Buyer measures his qubit in X basis <math>\{|+\rangle,|-\rangle\}</math>
-###If <math>b^k_l=0</math>, Buyer measures his qubit in Z basis <math>\{|0\rangle,|1\rangle\}</math>
-###'''return''' <math>m_{b^k_l}</math>
-###<math>B^k_l=1-m_{b^k_l}</math>
-**Verifier repeats steps 2(a)-2(b) with randomly chosen basis <math>v^k_l</math> to get his eliminated signature elements <math>V^k_l</math>
 **'''Symmetrisation'''