Success Probability Evaluation of Quantum Circuits based on Probabilistic CNOT-Gates

Abstract

In this paper, we study the effect of non deterministic CNOT gates on the success probability of Quantum CNOT-based circuits. Based on physical implementation, we define an abstract probabilistic model of the CNOT gate that takes into consideration error sources and realizability constraints. Using the proposed model, we simulate a three-qubit quantum adder and show the evolution of the probability of realizing correctly the SUM operation depending on the success probability and errors of the CNOT gates.