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Prepare-and-Send Verifiable Quantum Fully Homomorphic Encryption
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==Properties== * Compactness: This protocol is compact if verified decryption is divisible into a classical verification procedure Verification (outputting only an accept/reject flag), followed by a quantum decryption procedure Decryption. The running time of Verification is allowed to depend on the circuit size, but the running time of Decryption is not when it is compact. * Semantic Security: A QPT adversary with access to the ciphertext can be simulated by a simulator that only has access to an ideal functionality that simply applies the claimed circuit. (Explain when this protocol is semantically secure) * Indistinguishability: For a defined security game, if the success probability for an QPT adversary is at-most <math>\frac{1}{2} + negl(\kappa)</math>, then this protocol is indistinguishable. The security game is based on the QPT adversary determining the outcome of a hidden coin flip. * Fully Homomorphic: This protocol is fully homomorphic i.e. Server can operate any quantum circuit using this protocol. * Privacy: this scheme is private if its ciphertexts are indistinguishable under chosen plaintext attack. * Computational logs are generally classical in nature. * The chosen message authentication code MAC = (Tag, Ver) is existentially unforgeable under adaptive chosen message attack from a quantum adversary
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