NITheP - National Institute For Theoretical Physics

UKZN Node Seminar

NITheP cordially invites you to a seminar

by: Dr Ilya Sinayskiy
University of KwaZulu-Natal & National Institute for Theoretical
Physics (NITheP)

Date:
Tuesday, 14th February 2012

Time: 14:15 – 15:15

Venue: NITheP Seminar Room, Westville campus

Title: Open Quantum Walks

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 language of OQWs.