A model for quantum queue
  We consider an extension of Discrete Time Markov Chain queueing model to the quantum domain by use of Discrete Time Quantum Markov Chain. We introduce methods for numerical analysis of such models. Using this tools we show that quantum model behaves fundamentally differently from the classical one. 
Piotr Gawron, Dariusz Kurzyk, Zbigniew Pucha{\l}a
quant-ph cs.OH