Quantum Circuit Designs for Gate Model Quantum Computers*

We define a method to design quantum circuits for gate model quantum computers. Our Quantum Triple Annealing Minimization (QTAM) algorithm provides the quantum circuit minimization on the physical layout (circuit depths and area), the superconducting wire length minimization of the quantum circuit, and the minimization of the input quantum states and the measurements. The QTAM method minimizes the Hamiltonian operator via the maximization of an objective function. We define a multilayer structure for quantum circuit computations using the hardware restrictions of superconducting quantum computers. The results can be straightforwardly applied in experimental superconducting quantum computers, and gate model quantum computations.