Quantile normalization is performed by the function "normalize.quantiles" from the package preprocessCore.
Source:R/normMethods.R
performQuantileNormalization.RdIt makes the assumption that the data in different samples should originate from an identical distribution. It does this by generating a reference distribution and then scaling the other samples accordingly.
Examples
data(example_data_only_values_small)
normMatrix <- performQuantileNormalization(example_data_only_values)