Quantum navigation and ranking in complex networks.
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TLDR
In this paper, the authors define a quantum navigation method providing a unique ranking of the elements of a network and analyze the convergence of quantum navigation to the stationary rank of networks and show that quantumness decreases the number of navigation steps before convergence.Citations
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Metrology with PT-Symmetric Cavities: Enhanced Sensitivity near the PT-Phase Transition.
Zhong Peng Liu,Jing Zhang,Jing Zhang,Sahin Kaya Ozdemir,Bo Peng,Hui Jing,Hui Jing,Xin-You Lü,Xin-You Lü,Chun Wen Li,Lan Yang,Franco Nori,Franco Nori,Yu-xi Liu +13 more
TL;DR: The application of PT-symmetric microcavities to the detection of mechanical motion is discussed, and it is shown that the sensitivity is significantly enhanced near the transition point from unbroken- to broken-PT regimes.
Journal ArticleDOI
Experimental two-dimensional quantum walk on a photonic chip.
Hao Tang,Hao Tang,Xiao-Feng Lin,Xiao-Feng Lin,Zhen Feng,Zhen Feng,Jing-Yuan Chen,Jun Gao,Jun Gao,Ke Sun,Chao-Yue Wang,Peng-Cheng Lai,Xiao-Yun Xu,Xiao-Yun Xu,Yao Wang,Yao Wang,Lu-Feng Qiao,Lu-Feng Qiao,Ai-Lin Yang,Ai-Lin Yang,Xian-Min Jin,Xian-Min Jin +21 more
TL;DR: The first spatial 2D quantum walk on a photonic chip with thousands of nodes is realized for future analog quantum computing and the transient nature that is the unique feature for quantum walks of beyond one dimension is revealed.
Journal ArticleDOI
Experimental Two-dimensional Quantum Walk on a Photonic Chip
Hao Tang,Xiao-Feng Lin,Zhen Feng,Jing-Yuan Chen,Jun Gao,Xiao-Yun Xu,Yao Wang,Lu-Feng Qiao,Ai-Lin Yang,Xian-Min Jin +9 more
TL;DR: In this paper, the authors demonstrate a two-dimensional continuous-time quantum walk by using the external geometry of photonic waveguide arrays, rather than the inner degree of freedoms of photons.
Journal ArticleDOI
Complex networks from classical to quantum
TL;DR: The authors review recent progress into this paradigm shift that drives the creation of a network theory based fundamentally on quantum effects, pinpointing the similarities and the differences found at the intersection of these two fields.
Journal ArticleDOI
Quantum Google in a Complex Network
TL;DR: The quantum algorithm displays an increased stability with respect to a variation of the damping parameter, present in the Google algorithm, and a more clearly pronounced power-law behaviour in the distribution of importance, as compared to the classical algorithm.
References
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Collective dynamics of small-world networks
TL;DR: Simple models of networks that can be tuned through this middle ground: regular networks ‘rewired’ to introduce increasing amounts of disorder are explored, finding that these systems can be highly clustered, like regular lattices, yet have small characteristic path lengths, like random graphs.
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Statistical mechanics of complex networks
TL;DR: In this paper, a simple model based on the power-law degree distribution of real networks was proposed, which was able to reproduce the power law degree distribution in real networks and to capture the evolution of networks, not just their static topology.
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The Structure and Function of Complex Networks
TL;DR: Developments in this field are reviewed, including such concepts as the small-world effect, degree distributions, clustering, network correlations, random graph models, models of network growth and preferential attachment, and dynamical processes taking place on networks.
Quantum Computation and Quantum Information
TL;DR: This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.
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The anatomy of a large-scale hypertextual Web search engine
Sergey Brin,Lawrence Page +1 more
TL;DR: This paper provides an in-depth description of Google, a prototype of a large-scale search engine which makes heavy use of the structure present in hypertext and looks at the problem of how to effectively deal with uncontrolled hypertext collections where anyone can publish anything they want.