NITheP Seminar by Dr. I. Sinayskiy “Open Quantum Walks”

NITheP Seminar by Dr. I. Sinayskiy “Open Quantum Walks”

Open quantum walks (OQW) are formulated as quantum Markov chains on graphs…..

Abstract:

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 languageof OQWs.