We discuss the relationship between quantum coherence of finite dimensional systems and nonclassical quantum light. We demonstrate that quantifying the quantum coherence between coherent states always leads to a quantifier of nonclassicality that monotonically decreases under linear optical operations. This allows us to introduce a resource theory of nonclassicality based on linear optics that closely parallels the resource theory of coherence. Finally, we discuss the metrological power of a quantum state, which quantifies how sensitive a quantum state is to displacement operations. It is then shown that the metrological power leads to a nonclassicality monotone.

Date Published: 1 March 2019
PDF: 7 pages
Proc. SPIE 10934, Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology, 109341O (1 March 2019); doi: 10.1117/12.2512343

Published in SPIE Proceedings Vol. 10934:
Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology
Selim M. Shahriar; Jacob Scheuer, Editor(s)