Testing the decoupling theorem with IBM quantum computer
Xinying Li · IOP Conference Series Earth and Environmental Science · 2020
Abstract Decoupling is a well-studied phenomenon in the theory of quantum information: the correlation between two systems - possibly in the form of entanglement - disappears almost entirely when one undergoes a random unitary evolution. Previous studies have proven the mathematical formulas and general conditions for decoupling two systems. The aim of this work is to observe the effectiveness of a real-world implementation of the decoupling scheme with the IBM quantum computer. In particular, we apply Clifford circuits to the systems in initial state and observe how correlation varies with respect to different circuit lengths. A significant trend was discovered, according to the mathematical theorems: the correlation between the systems decreases as the size of Clifford circuit increases. This observation shows that the decoupling theorem can be implemented effectively with the IBM quantum computer. Under a global perspective, this work is intended to provide a result in support of the fundamental task of laying the groundwork for the development of a reliable quantum computing architecture.