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Implementing the Grover Algorithm in Homomorphic Encryption Schemes

Implementing the Grover Algorithm in Homomorphic Encryption Schemes

We apply quantum homomorphic encryption (QHE) schemes suitable for circuits with a polynomial number of $T/T^{\dagger}$-gates to Grover's algorithm, performing a simulation in Qiskit of a Grover circuit that contains 3 qubits. The $T/T^{\dagger}$ gate complexity of Grover's algorithm is also analysed in order to show that any Grover circuit …