This paper shows a novel quantum computing model that solves quantum computing problems based on the degree of entanglement. We show two main theorems: the first theorem shows the quantum circuit that can be used to quantify the concurrence value between two adjacent qubits. The second theorem shows the quantum circuit of a proposed operator, called [Formula: see text] operator, which can be used to differentiate between the non-orthogonal states in the form [Formula: see text], with arbitrary accuracy, using the concurrence value. Then, the mathematical machinery for implementing the proposed model and its techniques using the circuit model is investigated extensively.