Classical Fully Homomorphic Encryption for Quantum Circuits: Difference between revisions

Classical Fully Homomorphic Encryption for Quantum Circuits (edit)

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 *The functions <math>f_0, f_1</math> used must be trapdoor claw-free(TCF) such that one it is not possible to find a triple <math>(\mu_0,\mu_1,y)</math> such that <math>f_0(\mu_0)=f_1(\mu_1)=y</math>
 *One of the nodes require quantum memory, hence, this protocol belongs to Quantum Memory Network Stage.
-== Properties ==
-*''Quantum Capable'' A classical HE is quantum capable i.e. can perform quantum computation efficiently if there exists AltHE which can execute natural XOR operations.
-*''Indistinguishability under Chosen Plaintext Attacks by adversary(IND-CPA)'' The presented classical FHE scheme is CPA secure i.e. it is not possible for any polynomial time adversary to distinguish between the encrypted classical message bits 0 and 1, by learning with errors.
-*''Compactness'' This protocol is compact i.e. decryption does not depend on the complexity of the quantum circuit.
-*''Correctness'' Correctness is implied from the correctness of encrypted CNOT operation.
-*''Circuit Privacy'' This protocol is not circuit private as both Client and Server know the quantum circuit used for performing the computation.
-*''Full Homomorphism'' This protocol is fully homomorphic i.e. Server can operate any quantum circuit using this protocol.
-*''Circular Security'' This protocol has a stronger notion of circular security where not only the secret key but also the trapdoor functions are encrypted when provided to the Server.
 == Pseudocode==