Abstract
The above discussed nonclassical phenomena of photon antibunching, sub-Poissonian photon statistics, squeezing of vacuum fluctuations, etc. represent fully quantum features of light beams having no classical analogues. Consequently all these physical effects are violating various inequalities valid with classical optical fields. Experimental verification of their violation can then support the validity of quantum theory. As a particular case in 1964 Bell [see Bell (1987)] constructed inequalities between probabilities providing a way to test experimentally the predictions of various local hidden variable theories against the predictions of quantum theory. A review of classical and quantum inequalities and suggestions for their optical realizations together with Bell’s inequalities and their interpretation has been presented by Reid and Walls (1986). We will follow this treatment.
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