piresma / quantum_walks_review

(In progress) Literature review of QW

quantum_walks_review

(In progress) Literature survey of QW

(Updated) Reviews and overviews:

• K. Kadian, S. Garhwal, and A. Kumar, Quantum walk and its application domains: A systematic review, Computer Science Review, 41, 100419 (2021).
• W Zhou. "Review on quantum walk algorithm." Journal of Physics: Conference Series. Vol. 1748. No. 3. IOP Publishing, (2021).
• M. Grafe and A. Szameit, Integrated photonic quantum walks, Journal of Physics B: Atomic, Molecular and Optical Physics, 53, 073001 (2020).
• J. Wu, W.-W. Zhang, and B. C. Sanders, Topological quantum walks: Theory and experiments, Front. Phys., 14, 61301 (2019).
• L. Neves and G. Puentes, Photonic discrete-time quantum walks and applications, Entropy, 20, 731 (2018)
• A. Widera, A walk across a quantum lattice, Science 347,1200 (2015).
• M. Grafe, R. Heilmann, M. Lebugle, D. Guzman-Silva,A. Perez-Leija, and A. Szameit, Integrated photonic quantum walks, Journal of Optics, 18, 103002 (2016).
• T. Kitagawa, Topological phenomena in quantum walks: elementary introduction to the physics of topological phases, Quantum Inf. Process. 11, 1107 (2012).
• D.Reitzner,Quantum walks,Acta Physica Slovaca. Reviews and Tutorials, 61,https://doi.org/10.48550/arXiv.1207.7283 (2011)
• Frontiers, Feynman's ’quantum walk’ observed, Physics World, 22, 4 (2009)
• V. M. Kendon, A random walk approach to quantum algorithms, Philos. Trans. Royal Soc. A 364, 3407, (2006).
• A. Ambainis, Quantum walks and their algorithmic applications, International Journal of Quantum Information, 1, 507 (2003).
• J. Kempe, Quantum random walks: an introductory overview, Contemporary Physics, 44, 307 (2003).

Some Applications:

• Casares, Pablo Antonio Moreno, Roberto Campos, and Miguel Angel Martin-Delgado. "QFold: quantum walks and deep learning to solve protein folding." Quantum Science and Technology 7, no. 2 (2022): 025013.
• Sarkar, Anupam, and C. M. Chandrashekar. "Multi-bit quantum random number generation from a single qubit quantum walk." Scientific reports 9.1 (2019): 1-11.
• Montero, Miquel. "Quantum and random walks as universal generators of probability distributions." Physical Review A 95.6 (2017): 062326.
• D. Emms, S. Severini, R. C. Wilson, and E. R. Hancock, Coined quantum walks lift the cospectrality of graphs and trees, Pattern Recognition 42, 1988 (2009).
• Ambainis, Andris. "Quantum walks and their algorithmic applications." International Journal of Quantum Information 1.04 (2003): 507-518.
• Kollár, Bálint, and Mátyás Koniorczyk. "Entropy rate of message sources driven by quantum walks." Physical Review A 89.2 (2014): 022338.
• Alvir, Rachael, et al. "Perfect state transfer in Laplacian quantum walk." Journal of Algebraic Combinatorics 43.4 (2016): 801-826.
• Kendon, Vivien M., and Christino Tamon. "Perfect state transfer in quantum walks on graphs." Journal of Computational and Theoretical Nanoscience 8.3 (2011): 422-433.
• Kurzyński, Paweł, and Antoni Wójcik. "Discrete-time quantum walk approach to state transfer." Physical Review A 83.6 (2011): 062315.
• Chakraborty, Shantanav, et al. "Spatial search by quantum walk is optimal for almost all graphs." Physical review letters 116.10 (2016): 100501.