Witnessing Quantum Coherence: from solid-state to biological systems
Che-Ming Li, Neill Lambert, Yueh-Nan Chen, Guang-Yin Chen, and Franco, Nori

TL;DR
This paper introduces two efficient quantum witnesses that verify quantum coherence in complex systems like solid-state and biological structures, overcoming experimental challenges of traditional methods.
Contribution
The authors propose novel quantum witnesses that enable robust, efficient detection of quantum coherence without full tomography or non-invasive measurements.
Findings
Quantum witnesses are effective in solid-state nanostructures.
They work well in biological systems.
Witnesses have higher resolution than LGI.
Abstract
Quantum coherence is one of the primary non-classical features of quantum systems. While protocols such as the Leggett-Garg inequality (LGI) and quantum tomography can be used to test for the existence of quantum coherence and dynamics in a given system, unambiguously detecting inherent "quantumness" still faces serious obstacles in terms of experimental feasibility and efficiency, particularly in complex systems. Here we introduce two "quantum witnesses" to efficiently verify quantum coherence and dynamics in the time domain, without the expense and burden of non-invasive measurements or full tomographic processes. Using several physical examples, including quantum transport in solid-state nanostructures and in biological organisms, we show that these quantum witnesses are robust and have a much finer resolution in their detection window than the LGI has. These robust quantum…
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