[PDF] Top 20 Node centrality for continuous-time quantum walks

... the centrality of a vertex using a continuous-time quantum ...fined quantum walk. To this end, we make use of the quantum Jensen-Shannon divergence, a recently introduced ... See full document

... hitting time is the analogue of the time of the first ...a quantum optician would do to derive the distribution of waiting times (the time interval between successive photon ...our ... See full document

... search time found in our reduced model. However, previous searches in continuous time using a modified Dirac Hamil- tonian [9] or in discrete time [7] have found logarithmic corrections to the ... See full document

... Quantum walks were introduced [1] as a generalization of a classical random walk [2] to a unitary evolution of a quantum ...The time evolution can be either discrete [3] or continuous ... See full document

... discrete-time quantum walks. The discrete-time quantum walk is the quantum analogue of the discrete-time classical random walk Farhi and Gutmann ...discrete-time ... See full document

... Complex networks are continuously exposed to external “stress” which is independent of the organizational architecture of the network. By external we mean here an effect which is independent of the topology of the ... See full document

... The quantum walker, like the classical ...given time. In quantum mechanics the state (of a closed system) is identified with a unit vector in a complex phase space, with probabilities substituted by ... See full document

... The quantum walker, like the classical ...given time. In quantum mechanics the state (of a closed system) is identified with a unit vector in a complex phase space, with probabilities substituted by ... See full document

... on quantum stochastic operator cocycles, Section 2 describes the very close analogy between such cocycles and quantum random walks on a Hilbert ...as continuous-time processes on a Fock ... See full document

... two walks pos- sess remarkably different ...the quantum walk is charac- terized by a complex-valued amplitude vector, with no restrictions on the sign and ...the quantum case the evolution is ... See full document

... According to the comparison of the visualization layout result, the traditional FR algorithm in Figure 3 has a uniform overall layout and a similar distance between nodes. However, the community division in the layout is ... See full document

... networks, and in particular, how efficient correlated structures are in spreading flows. We present a model of constrained epidemic spreading, aiming to capture the resource constraints existing in coupled networks ... See full document

... a node embedded in a complex supply network. Centrality measures can help to assess the compounding of risks residing in various parts of topology to create a systemic view [34], but have found limited ... See full document

... multiple time-steps during ...on Continuous Time Random Walks (CTRW) by [1]—is validated at the pore scale by matching to the NMR-measured propagators in a beadpack, Bentheimer sandstone, and ... See full document

... information walks in our physician collaboration network do not have a gold standard comparator, we evaluate the framework of outlier detection and five distance metrics on a mixed set of the originating observed ... See full document

... betweenness centrality is an important aspect from traffic point of view but not as important in topological point of ...green time to approaches of neighboring intersections of a vital node such ... See full document

... In t his Chapter it is shown t hat classical light in 2D linear waveguide arrays can be used to simulate nonlinearity and quantum statistics of photon-pair generation and quantum walks i[r] ... See full document

... In this section we recall the definition of quantum Markov chains (QMCs). The QMC approach to non-commutative dynamics was first introduced by Accardi in [1], was developed further for the Accardi-Ohya-Watanabe ... See full document

... long time asymptotic limit is a fractional reaction-diffusion equation with standard linear reaction kinetics and a fractional order temporal derivative operating on a standard diffusion ...long time ... See full document

... Since the seminal paper by Montroll and Weiss [1], there has been much scientific activity on the applica- tion of CTRWs to important physical problems. A line of research investigated anomalous relaxation related to ... See full document