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Prepare-and-Send Quantum Fully Homomorphic Encryption: Difference between revisions
Prepare-and-Send Quantum Fully Homomorphic Encryption (edit)
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* <math>\Gamma_{pk_{i+1}}(\mathrm{sk_i})</math>, Gadget using <math>\mathrm{i_th}</math> secret key (<math>sk_i</math>) and encrypted by <math>\mathrm{(i + 1)_{th}}</math> public key (<math>\mathrm{pk_{i+1}}</math>) | * <math>\Gamma_{pk_{i+1}}(\mathrm{sk_i})</math>, Gadget using <math>\mathrm{i_th}</math> secret key (<math>sk_i</math>) and encrypted by <math>\mathrm{(i + 1)_{th}}</math> public key (<math>\mathrm{pk_{i+1}}</math>) | ||
* <math>\sigma</math>, single qubit state | * <math>\sigma</math>, single qubit state | ||
* <math>\rho=\ | * <math>\rho=|\psi\rangle\langle\psi|</math>, here <math>\rho</math> is the density matrix of quantum state <math>|\psi\rangle</math> | ||
* ρ, n-qubit input state, where n is determined by the Client | * ρ, n-qubit input state, where n is determined by the Client | ||
* ρ(HE.Encpk(a)), a is encrypted with public key pk and is represented by density matrix ρ | * ρ(HE.Encpk(a)), a is encrypted with public key pk and is represented by density matrix ρ | ||