Apparently, it is as hard (or harder) to produce random qubits as random
bits. There are some sentences in this article that don't make sense so
I am guessing the author doesn't really understand the subject.

From:

<http://www.trnmag.com/Stories/2004/011404/Quantum_dice_debut_011404.htm
l>

  ...random operators would be useful for quantum 
  communications tasks like encryption, said Emerson. 
  "The idea is to randomize a specific configuration of 
  qubits containing the message, and then transmit this 
  randomized state," he said...The researchers tested the 
  method on a three-qubit prototype liquid nuclear 
  magnetic resonance (NMR) quantum computer. 

-Michael Heyman

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