Quantum simulation of the generalized-entangled quantum eraser and the related complete complementarity relations

TL;DR

This paper demonstrates a quantum simulation of an entangled quantum eraser using IBM's quantum computers, revealing how wave and particle aspects are interconnected through complementarity relations, even with partial path knowledge.

Contribution

It introduces a novel entangled quantum eraser setup with a variable partially-polarizing beam splitter and explores complete complementarity relations in this context.

Findings

Full wave behavior recovered with partial path knowledge

VPPBS reveals new aspects of quantum erasure and CCRs

Entanglement enables wave-particle duality analysis

Abstract

We utilize IBM's quantum computers to perform a full quantum simulation of the optical quantum eraser (QE) utilizing a Mach-Zehnder interferometer with a variable partially-polarizing beam splitter (VPPBS) at the input. The use of the VPPBS motivates us to introduce the entangled quantum eraser, for which the path information is erased using a Bell-basis measurement. We also investigate the behavior of the wave aspect, i.e., the quantum coherence, as well as the particle character, represented by the predictability and entanglement, as delineated in complete complementarity relations (CCRs). As we show in this article, the utilization of the VPPBS uncover interesting aspects of the QE and CCRs. For instance, we can recover the full wave-behavior by the erasure procedure even when we have only partial knowledge about the path through entanglement.