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arXiv · 1401.3305

Open Quantum Walks on Graphs

S. Attal·F. Petruccione·I. Sinayskiy
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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.

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S. Attal, F. Petruccione, I. Sinayskiy. 2014-01-14. Open Quantum Walks on Graphs. https://doi.org/10.1016/j.physleta.2012.03.040

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