  Cryptographic protocols are often based on the two main resources: private
randomness and private key. In this paper, we develop a relationship between
these two resources. First, we show that any state containing perfect, directly
accessible, private key (a private state) is a particular case of the state
containing perfect, directly accessible, private randomness (an independent
state). We then demonstrate a fundamental limitation on the possibility of
transferring the privacy of random bits in quantum networks with an
intermediate repeater station. More precisely, we provide an upper bound on the
rate of repeated randomness in this scenario, similar to the one derived for
private key repeaters. This bound holds for states with positive partial
transposition. We further demonstrate the power of this upper bound by showing
a gap between the localisable and the repeated private randomness for separable
Werner states. In the case of restricted class of operations, we provide also a
bound on repeated randomness which holds for arbitrary states.
