A Novel Design of Quantum Multiplexer and its Identity Rules-Based Optimization for the Spin-Torque-Based n-Qubit Architecture

Abstract

Quantum computing (QC) imitates particle behavior at the sub-atomic level. Quantum gates are based on quantum mechanical phenomena such as superposition and entanglement. The obstacle to the realization of reversible computing is the huge number of operations in terms of quantum gates. Therefore, novel designs of reversible computing blocks with a minimum number of elementary operations with high fidelity are necessary. Therefore, a novel design of multiplexer is proposed in this article, which is composed of only 1-CNOT and 1-Toffoli gates. Moreover, the reduced decomposition of the multiplexer and its identity rule-based optimization for the spin-torque-based n-qubit architecture is discussed. To validate the design, the QISKIT implementation of the novel design in terms of amplitude, probability, and Q-sphere representation is carried out. The results are encouraging to realize the reversible computing involving quantum multiplexer as one of the building blocks.