  Continuous variable Beam Splitter (BS) generated entanglement from single
mode optical states generated by single nonclassicality (NC) inducing operation
have been found of immense importance in several information processing tasks.
There exists a broader class of optical states, generated from successive
action of multiple different NC-inducing operations, which show many intriguing
nonclassical properties; however the BS conversion of the NC for such states
remains unexplored. In this work we have critically analyzed the BS generated
entanglement from such nonclassical optical states at input. Here we present a
scenario where BS output entanglement becomes non-monotonic with the input NC
parameters, amenable experimentally (e.g. number of photon excitation and
squeezing strength), in contrast with the previous results with states
comprising of single NC- inducing operation. We explain this counter intuitive
feature in terms of the competition between the NCs induced by specific type of
NC-inducing operations.
