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Recent progress in applying complex network theory to problems in quantum information has resulted in a beneficial crossover.
Going beyond bell?s theorem
Greenberger, D. M., Horne, M. A. & Zeilinger, A · 1989
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Approximate entropy as a measure of system complexity
Pincus, S. M · 1991
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Quantum state transfer and entanglement distribution among distant nodes in a quantum network
Cirac, J. I., Zoller, P., Kimble, H. J. & Mabuchi, H · 1997
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Collective dynamics of small-world networks
Watts, D. J. & Strogatz, S. H · 1998
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Emergence of scaling in random networks
Barabási, A.-L. & Albert, R · 1999
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Error and attack tolerance of complex networks
Albert, R., Jeong, H. & Barabási, A.-L · 2000
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Network robustness and fragility: Percolation on random graphs
Callaway, D. S., Newman, M. E., Strogatz, S. H. & Watts, D. J · 2000
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Quantum information and computation
Bennett, C. H. & DiVincenzo, D. P · 2000
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Bose-einstein condensation in complex networks
Bianconi, G. & Barabási, A.-L · 2001
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Clustering via hilbert space
Horn, D · 2001
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An example of the difference between quantum and classical random walks
Childs, A., Farhi, E. & Gutmann, S · 2002
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Multiscale entropy analysis of complex physiologic time series
Costa, M., Goldberger, A. L. & Peng, C.-K · 2002
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Statistical mechanics of complex networks
Albert, R. & Barabási, A.-L · 2002
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Scale-free networks from varying vertex intrinsic fitness
Caldarelli, G., Capocci, A., De Los Rios, P. & Muñoz, M. A · 2002
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Pseudo-random unitary operators for quantum information processing
Emerson, J., Weinstein, Y. S., Saraceno, M., Lloyd, S. & Cory, D. G · 2003
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The structure and function of complex networks
Newman, M. E. J · 2003
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Quantum walks and their algorithmic applications
Ambainis, A · 2003
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Quantum random-walk search algorithm
Shenvi, N., Kempe, J. & Whaley, K. B · 2003
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Emergence of a 4d world from causal quantum gravity
Ambjørn, J., Jurkiewicz, J. & Loll, R · 2004
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Detecting fuzzy community structures in complex networks with a potts model
Reichardt, J. & Bornholdt, S · 2004
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Random walks on complex networks
Noh, J. D. & Rieger, H · 2004
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Quantum speed-up of markov chain based algorithms
Szegedy, M · 2004
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Cascade control and defense in complex networks
Motter, A. E · 2004
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Functional cartography of complex metabolic networks
Guimera, R. & Amaral, L. A. N · 2005
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Uncovering the overlapping community structure of complex networks in nature and society
Palla, G., Derényi, I., Farkas, I. & Vicsek, T · 2005
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Self-similarity of complex networks
Song, C., Havlin, S. & Makse, H. A · 2005
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Storage and retrieval of single photons transmitted between remote quantum memories
Chaneliere, T. et al · 2005
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String-net condensation: A physical mechanism for topological phases
Levin, M. A. & Wen, X.-G · 2005
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Complex networks: Structure and dynamics
Boccaletti, S., Latora, V., Moreno, Y., Chavez, M. & Hwang, D.-U · 2006
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Detecting rich-club ordering in complex networks
Colizza, V., Flammini, A., Serrano, M. A. & Vespignani, A · 2006
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The laplacian of a graph as a density matrix: a basic combinatorial approach to separability of mixed states
Braunstein, S. L., Ghosh, S. & Severini, S · 2006
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Entanglement percolation in quantum networks
Acín, A., Cirac, J. I. & Lewenstein, M · 2007
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Single-atom single-photon quantum interface
Wilk, T., Webster, S. C., Kuhn, A. & Rempe, G · 2007
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The Theory of Open Quantum Systems (OUP Oxford, 2007)
Breuer, H. & Petruccione, F · 2007
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The quantum internet
Kimble, H. J · 2008
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Silica-on-silicon waveguide quantum circuits
Politi, A., Cryan, M. J., Rarity, J. G., Yu, S. & O’Brien, J. L · 2008
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Quantum graphity: a model of emergent locality
Konopka, T., Markopoulou, F. & Severini, S · 2008
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Superinsulator and quantum synchronization
Vinokur, V. M. et al · 2008
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Critical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V. & Mendes, J. F · 2008
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Navigability of complex networks
Boguna, M., Krioukov, D. & Claffy, K. C · 2009
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Entanglement percolation in quantum complex networks
Cuquet, M. & Calsamiglia, J · 2009
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Mathematical formulation of multilayer networks
De Domenico, M. et al · 2013
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High-performance dynamic quantum clustering on graphics processors
Wittek, P · 2013
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What is a quantum simulator?
Johnson, T. H., Clark, S. R. & Jaksch, D · 2014
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A quantum network of clocks
Komar, P. et al · 2014
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Quantum google algorithm
Paparo, G., Müller, M., Comellas, F. & Martin-Delgado, M · 2014
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Community Detection in Quantum Complex Networks
Faccin, M., Migdał, P., Johnson, T. H., Bergholm, V. & Biamonte, J. D · 2014
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Multilayer networks
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Garlaschelli, D. & Loffredo, M. I · 2009
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Localization of the maximal entropy random walk
Burda, Z., Duda, J., Luck, J. & Waclaw, B · 2009
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Dynamic quantum clustering: A method for visual exploration of structures in data
Weinstein, M. & Horn, D · 2009
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Towards quantum chemistry on a quantum computer
Lanyon, B. P. et al · 2010
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Catastrophic cascade of failures in interdependent networks
Buldyrev, S. V., Parshani, R., Paul, G., Stanley, H. E. & Havlin, S · 2010
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Quantum random networks
Perseguers, S., Lewenstein, M., Acín, A. & Cirac, J · 2010
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Kivelä, M. et al · 2014
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Navigability of interconnected networks under random failures
De Domenico, M., Solé-Ribalta, A., Gómez, S. & Arenas, A · 2014
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Universal state transfer on graphs
Cameron, S. et al · 2014
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Symmetry and the thermodynamics of currents in open quantum systems
Manzano, D. & Hurtado, P. I · 2014
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The structure and dynamics of multilayer networks
Boccaletti, S. et al · 2014
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Dynamics and associations of microbial community types across the human body
Ding, T. & Schloss, P. D · 2014
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Limits on fundamental limits to computation
Markov, I. L · 2014
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Structural reducibility of multilayer networks
De Domenico, M., Nicosia, V., Arenas, A. & Latora, V · 2015
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Measuring graph similarity through continuous-time quantum walks and the quantum jensen-shannon divergence
Rossi, L., Torsello, A. & Hancock, E. R · 2015
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Quantized recurrence time in unital iterated open quantum dynamics
Sinkovicz, P., Kurucz, Z., Kiss, T. & Asbóth, J. K · 2015
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Interdisciplinary and physics challenges of network theory
Bianconi, G · 2015
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Chiral Quantum Walks
Lu, D. et al · 2016
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The physics of spreading processes in multilayer networks
De Domenico, M., Granell, C., Porter, M. A. & Arenas, A · 2016
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Spectral entropies as information-theoretic tools for complex network comparison
De Domenico, M. & Biamonte, J · 2016
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Irreconcilable Difference Between Quantum Walks and Adiabatic Quantum Computing
Wong, T. G. & Meyer, D. A · 2016
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Spatial Search by Quantum Walk is Optimal for Almost all Graphs
Chakraborty, S., Novo, L., Ambainis, A. & Omar, Y · 2016
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Random walks and diffusion on networks
Masuda, N., Porter, M. A. & Lambiotte, R · 2016
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Complex quantum networks: From universal breakdown to optimal transport
Mülken, O., Dolgushev, M. & Galiceanu, M · 2016
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Continuous-Time Quantum Walks on Directed Bipartite Graphs
Tödtli, B. et al · 2016
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Network geometry with flavor: From complexity to quantum geometry
Bianconi, G. & Rahmede, C · 2016
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Magnetic eigenmaps for community detection in directed networks
Fanuel, M., Alaiz, C. & Suykens, J · 2016
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The multilayer connectome of caenorhabditis elegans
Bentley, B. et al · 2016
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Mapping multiplex hubs in human functional brain networks
De Domenico, M., Sasai, S. & Arenas, A · 2016
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Universal resilience patterns in complex networks
Gao, J., Barzel, B. & Barabási, A.-L · 2016
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Quantum machine learning
Biamonte, J. et al · 2017
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Quantification of network structural dissimilarities
Schieber, T. A. et al · 2017
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Experimental violation of local causality in a quantum network
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Optimal quantum spatial search on random temporal networks
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Magnetic eigenmaps for the visualization of directed networks
Fanuel, M., Alaíz, C. M., Ángela Fernández & Suykens, J. A · 2017
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