Experimental Control of the Degree of Non-Classicality via Quantum Coherence

TL;DR

This paper explores the relationship between quantum coherence and non-classicality, demonstrating both theoretical links and experimental control in a quantum walk setup, revealing how coherence influences non-classical behavior.

Contribution

It provides a theoretical framework connecting quantum coherence with non-classicality and experimentally demonstrates control over non-classicality via coherence in a quantum walk.

Findings

Quantum coherence linearly relates to violation of Kolmogorov condition.

Experimental control of coherence affects non-classicality in quantum walk.

Fast electro-optic modulators enable precise measurement-induced effects control.

Abstract

The origin of non-classicality in physical systems and its connection to distinctly quantum features such as entanglement and coherence is a central question in quantum physics. This work analyses this question theoretically and experimentally, linking quantitatively non-classicality with quantum coherence. On the theoretical front, we show when the coherence of an observable is linearly related to the degree of violation of the Kolmogorov condition, which quantifies the deviation from any classical (non-invasive) explanation of the multi-time statistics. Experimentally, we probe this connection between coherence and non-classicality in a time-multiplexed optical quantum walk. We demonstrate exquisite control of quantum coherence of the walker by varying the degree of coherent superposition effected by the coin, and we show a concomitant variation in the degree of non-classicality of the walker statistics, which can be accessed directly by virtue of the unprecedented control on the measurement-induced effects obtained via fast programmable electro-optic modulators.