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We demonstrated the detailed construction of the hybrid quantum-classicalcomputer. Based on this architecture, the useful concept of amplitudeinterception is illustrated. It is then embedded into a combination ofDepth-First Search and Grover's algorithm to generate a novel approach, theDepth-First Grover Search(DFGS), to handle multi-solution searching problems onunstructured databases with an unknown number of solutions. Our new algorithmattains an average complexity of $\mathcal{O}(m\sqrt{N})$ which performs asefficient as a normal Grover Search, and a $\mathcal{O}(\sqrt{p}N)$ complexitywith a manually determined constant $p$ for the case with all elements aresolutions, where a normal Grover Search will degenerate to$\mathcal{O}(N\sqrt{N})$. The DFGS algorithm is more robust and stable incomparison.

Depth-First Grover Search Algorithm on Hybrid Quantum-Classical Computer