  Due to Grover's algorithm, any exhaustive search attack of block ciphers can
achieve a quadratic speed-up. To implement Grover,s exhaustive search and
accurately estimate the required resources, one needs to implement the target
ciphers as quantum circuits. Recently, there has been increasing interest in
quantum circuits implementing lightweight ciphers. In this paper we present the
quantum implementations and resource estimates of the lightweight ciphers
LBlock and LiCi. We optimize the quantum circuit implementations in the number
of gates, required qubits and the circuit depth, and simulate the quantum
circuits on ProjectQ. Furthermore, based on the quantum implementations, we
analyze the resources required for exhaustive key search attacks of LBlock and
LiCi with Grover's algorithm. Finally, we compare the resources for
implementing LBlock and LiCi with those of other lightweight ciphers.
