Quantum adder circuits

Nusrat Jahan Lisa, Hafiz Md. Hasan Babu

In this paper, we present an optimized design for the quantum ternary adder/subtract or circuit. We propose the design of quantum Ternary Peres Gate (TPG). The design of our proposed quantum ternary adder/subtract or circuit consists of two parts: a) Firstly, it has the design of a quantum ternary full-adder circuit using the proposed TPG gates, and b) Secondly, it designs the proposed adder/subtract or circuit by using the constructed full-adder in a) and M-S gates. We also propose a heuristic to design a compact ternary adder/subtract or circuit. Our circuits perform much better than the existing ones.

Colin P. Williams

Hafiz Md. Hasan Babu

Hafiz Md. Hasan Babu

This chapter presents the design of a quantum adder circuit which is optimized in terms of quantum cost. The four-bit quantum carry skip adder and eight-bit quantum carry skip adder circuits are described in this chapter.

Wiphoo Methachawalit, Prabhas Chongstitvatana

Quantum Fourier Transform (QFT) is an essential algorithm for quantum computers. There are many uses of QFT in the application of quantum computing. In this work, we proposed a generalized adder circuit that was fundamental for QFT. We designed and ran the experiments with the proposed adder circuit on an IBM quantum computer facility. We observed that the number of qubits was one factor in the error rate. We found that our proposed two-qubits adder circuit running on the IBM quantum computer had an error rate of around 25%. The complexity of the adder circuit includes qubit connectivity, physical devices, and error from noise due to the environment. We demonstrated the constraints of the proposed adder circuit.

Dipankar Bhattacharyya, Jyotirmoy Guha