Evaluating single-mode nonclassicality for arbitrary mixed Fock states

Nonclassical states of bosonic modes are important resources for quantum-enhanced technologies. Providing a quantifiable measure of single mode nonclassical states can impart an additional understanding of quantum optics and other related fields. This research focuses on calculating the operational resource-theoretic (ORT) measure [W. Ge, K. Jacobs, S. Asiri,M. Foss-Feig, and M. S. Zubairy, Phys. Rev. Res. 2, 023400 (2020)], for arbitrary mixed Fock states. The ORT measure is defined by an optimization procedure on decomposing the quantum state. We calculate the measure for mixed Fock states with three components using numerical optimization and analytical derivation. From these results a general analytical solution can be obtained for any mixed Fock state. Our calculations can be used to establish a conservation relation between single-mode nonclassicality and entanglement in a linear network.