A General Method for Designing n-Qubits Entanglement Creating Circuits and its Application in Different 4-qubits Entanglement Creating Circuits

Abstract

One of the most important aspects of quantum computation is quantum entanglement, it is an interesting feature of quantum physics, and has many important applications such as quantum teleportation, cryptography, quantum computation, and dense coding. It is an essential task in quantum computing to design circuits that create an entangled system, and many circuits were implied in the quantum computers that generate the desired entangled state of a system. In this paper, we suggest a general method to design different quantum circuits that produce an entangled system for any number of qubits in different manners. Also, we apply the suggested method in order to design different 4-qubits entanglement creating circuits. The results show that it is possible to design different entanglement creating circuits for any number of qubits by following certain method that will be discussed in the paper, and in the case of 4-qubits system we are going to look only at two circuits, the first creates a “GHZ” like state and the second creates a four-basis entanglement state.