EXPERIMENTAL PROOF OF THE VIOLATION OF THE BELL INEQUALITY USING QUANTUM COMPUTERS

Abstract

With quantum computing’s potential to be exponentially more powerful than classical computing, due to superposition and entanglement, several companies including IBM have started to develop quantum computers. Since 2016, IBM has developed publicly accessible cloud-based quantum computers. While the development of quantum computing can revolutionize decryption, optimization, and the simulation of quantum systems, quantum computers must maintain a high level of accuracy as they are scaled up. This paper introduces the fundamental gates used on IBM’s quantum computers and provides visualizations of each gate. A thought experiment involving two quantum entangled particles is used to explain the Einstein-Podolsky-Rosen Paradox, and two potential explanations are introduced: violation of locality and the Hidden Variable Theory. Experimental results are reported for the quality of entanglement created on IBM’s publicly accessible 5-qubit quantum computers by creating entanglement between 2 qubits and then measuring both qubits along a set combination of axes, and demonstrating the violation of the Bell-CHSH Inequality. Six out of seven 5-qubit quantum computers violated the Bell-CHSH Inequality, thus demonstrating strong quantum entanglement between 2 qubits, a standard crucial for scaling up quantum computers to harness their exponentially scaling power.