Bohr's complementarity principle tested on a real quantum computer via interferometer experiments

TL;DR

This paper experimentally tests Bohr's complementarity principle on a real quantum computer using interferometer experiments, quantum state tomography, and error analysis to validate the updated relation between wave and particle aspects.

Contribution

It demonstrates the practical implementation and testing of a refined complementarity relation on actual quantum hardware through interferometric experiments.

Findings

Complementarity relation verified with real quantum hardware.

Quantum state tomography effectively reconstructs final states.

Error analysis provides insights into experimental accuracy.

Abstract

Bohr's Complementarity Principle is a core concept of quantum mechanics. In this article, an updated complementarity relation for the wave and ondulatory aspects of a quantum system is presented and discussed. Two interferometric experiments are implemented in one and two qubit circuits and executed on real hardware. The final state density matrices are reconstructed using quantum state tomography and the complementarity relation is tested via direct computation. Results of the executions are presented both graphically and with a mean squared error analysis for a better comprehension.