Prepare-and-Send Quantum Fully Homomorphic Encryption: Difference between revisions

Prepare-and-Send Quantum Fully Homomorphic Encryption (edit)

160 bytes added , 11 July 2019

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 '''Encryption(QFHE.Enc())'''
-*Input: Quantum Input state density matrix (<math>\rho</math>) (say composed of n single qubit states, σ)
+*Input: Quantum Input state density matrix (<math>\rho</math>) (say composed of n single qubit states, <math>\sigma</math>)
-*Output: Encrypted pad keys: {a˜[0]...a˜[n], ˜b[i]...˜b[n]}; QOTP state: Xa[1]Zb[1]⊗.....⊗Xa[n]Zb[n]ρZb[1]Xa[1]⊗ ..... ⊗ Xa[n]Zb[n]
+*Output: Encrypted pad keys:<math>\{\tilde{a}^{[0]}...\tilde{a}^{[n]}</math>, <math>\tilde{b}^{[i]}...\tilde{b}^{[n]}\}</math>; QOTP state: <math>X^{a^{[1]}}Z^{b^{[1]}}\otimes.....\otimes X^{a^{[n]}}Z^{b^{[n]}}\rho Z^{b^{[1]}}X^{a^{[1]}}\otimes.....\otimes X^{a^{[n]}}Z^{b^{[n]}}</math>
 #	For i=1 to n
 ##	Client chooses pad keys a,b