Abstract
The nearest Hilbert-Schmidt distance of (pure) states to coherent states is discussed as a quantitative measure of nonclassicality of states in quantum optics or quantum mechanics of harmonic oscillators. Fock states, squeezed coherent states and finite superpositions of coherent states (Schrodinger cat states) are considered as examples. Some other approaches to nonclassicality of states in quantum optics are shortly discussed.
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