Bibliography of Open Quantum Walks

compiled by F. Petruccione

(last updated 11 April 2014)

Attal, S., Petruccione, F., Sabot, C., & Sinayskiy, I. (2012). Open quantum random walks. Journal of Statistical Physics, 147(4), 832-852.

Sinayskiy, I., & Petruccione, F. (2012). Efficiency of open quantum walk implementation of dissipative quantum computing algorithms. Quantum Information Processing, 11(5), 1301-1309.

Venegas-Andraca, S. E. (2012). Quantum walks: a comprehensive review. Quantum Information Processing, 11(5), 1015-1106.

Sinayskiy, I., & Petruccione, F. (2012). Properties of open quantum walks on $\ mathbb {Z} $. Physica Scripta, 2012(T151), 014077.

Konno, N., & Yoo, H. J. (2013). Limit theorems for open quantum random walks. Journal of Statistical Physics, 150(2), 299-319.

Sinayskiy, I., & Petruccione, F. (2013, June). Open Quantum Walks: a short introduction. In Journal of Physics: Conference Series (Vol. 442, No. 1, p. 012003). IOP Publishing.

Sinayskiy, I., & Petruccione, F. (2013). Microscopic Derivation of Open Quantum Walk on Two-Node Graph. Open Systems & Information Dynamics,20(03)

Xiong, S., & Yang, W. S. (2013). Open quantum random walks with decoherence on coins with n degrees of freedom. Journal of Statistical Physics,152(3), 473-492.

Ampadu, C. (2013). Return Probability of the Open Quantum Random Walk with Time-Dependence. Communications in Theoretical Physics, 5, 010.

Sadowski, P., & Pawela, Ł. (2014). Central limit theorem for reducible and irreducible open quantum walks. arXiv preprint arXiv:1412.5086.

Sinayskiy, I., & Petruccione, F. (2014). Quantum optical implementation of open quantum walks. International Journal of Quantum Information, 12(02).

Attal, S., Guillotin-Plantard, N., & Sabot, C. (2014). Central limit theorems for open quantum random walks and quantum measurement records. In Annales Henri Poincaré (Vol. 16, No. 1, pp. 15-43). Springer Basel.

Ampadu, C. (2014). Averaging in SU (2) open quantum random walk. Chinese Physics B, 23(3), 030302.

Bauer, M., Bernard, D., & Tilloy, A. (2014). The open quantum Brownian motions. Journal of Statistical Mechanics: Theory and Experiment, 2014(9), P09001.

Lardizabal, C. F., & Souza, R. R. (2014). On a class of quantum channels, open random walks and recurrence. arXiv preprint arXiv:1402.0483.

Carbone, R., & Pautrat, Y. (2014). Homogeneous Open Quantum Random Walks on a lattice. arXiv preprint arXiv:1408.1113.

Carbone, R., & Pautrat, Y. (2014). Open Quantum Random Walks: reducibility, period, ergodic properties. arXiv preprint arXiv:1405.2214.

Pellegrini, C. (2014). Continuous time open quantum random walks and non-Markovian Lindblad master equations. Journal of Statistical Physics, 154(3), 838-865.

Liu, C. (2015). From open quantum walks to unitary quantum walks. arXiv preprint arXiv:1502.01680.

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