In this research we were able to create a superposition of motional states in a trapped ion and prove the coherence between these states using a single-valued coherence certifier. 

Certifying Multilevel Coherence in the Motional State

References

[1] Girolami D., Observable measure of quantum coherence in finite dimentional systems, Physical Review Letters, 2014 

[2] Daniel K. L. Oi and Johan Åberg, Fidelity and Coherence Measures from Interference, Physical Review Letters, 2021

[3] Dive B. et. al., Characterization of multilevel quantum coherence without ideal measurements, Physical Review Research, 2020

[4] Andreas Winter and Dong Yang, Operational Resource Theory of Coherence, Physical Review Letters, 2016

 

 

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