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1 ICJ - Institut Camille Jordan Villeurbanne 2 Centre for Quantum Technology

Abstract : Open quantum walks OQW are formulated as quantum Markov chains on graphs. 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.

Autor: Stéphane Attal - Francesco Petruccione - Ilya Sinayskiy -



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