NITheP Seminar by Dr. I. Sinayskiy "Open Quantum Walks"
Feb 21, 2012
from 02:15 PM to 03:15 PM
|Where||NITheP Seminar Room, Westville campus|
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Open quantum walks (OQW) are formulated as quantum Markov chains on graphs. It is shown that OQWs contain as a limit classical random walks. A suggested physical realization procedure for OQW can recover unitary quantum walks. A straightforward unravelling of the OQW allows for stochastic simulations in terms of quantum trajectories. It is shown that OQWs are a very useful tool for the formulation of dissipative quantum computing algorithms and for dissipative quantum state preparation. In particular, single qubit gates and the CNOT-gate are implemented as OQWs on fully connected graphs. Also, dissipative quantum state preparation of arbitrary single qubit states and of all two-qubit Bell-states is demonstrated. Finally, the discrete time version of dissipative quantum computing is shown to be more efficient if formulated in the language of OQWs.