3,515 research outputs found
Teleportation, Braid Group and Temperley--Lieb Algebra
We explore algebraic and topological structures underlying the quantum
teleportation phenomena by applying the braid group and Temperley--Lieb
algebra. We realize the braid teleportation configuration, teleportation
swapping and virtual braid representation in the standard description of the
teleportation. We devise diagrammatic rules for quantum circuits involving
maximally entangled states and apply them to three sorts of descriptions of the
teleportation: the transfer operator, quantum measurements and characteristic
equations, and further propose the Temperley--Lieb algebra under local unitary
transformations to be a mathematical structure underlying the teleportation. We
compare our diagrammatical approach with two known recipes to the quantum
information flow: the teleportation topology and strongly compact closed
category, in order to explain our diagrammatic rules to be a natural
diagrammatic language for the teleportation.Comment: 33 pages, 19 figures, latex. The present article is a short version
of the preprint, quant-ph/0601050, which includes details of calculation,
more topics such as topological diagrammatical operations and entanglement
swapping, and calls the Temperley--Lieb category for the collection of all
the Temperley--Lieb algebra with physical operations like local unitary
transformation
Maximum Power Efficiency and Criticality in Random Boolean Networks
Random Boolean networks are models of disordered causal systems that can
occur in cells and the biosphere. These are open thermodynamic systems
exhibiting a flow of energy that is dissipated at a finite rate. Life does work
to acquire more energy, then uses the available energy it has gained to perform
more work. It is plausible that natural selection has optimized many biological
systems for power efficiency: useful power generated per unit fuel. In this
letter we begin to investigate these questions for random Boolean networks
using Landauer's erasure principle, which defines a minimum entropy cost for
bit erasure. We show that critical Boolean networks maximize available power
efficiency, which requires that the system have a finite displacement from
equilibrium. Our initial results may extend to more realistic models for cells
and ecosystems.Comment: 4 pages RevTeX, 1 figure in .eps format. Comments welcome, v2: minor
clarifications added, conclusions unchanged. v3: paper rewritten to clarify
it; conclusions unchange
Unanimity Rule on networks
We introduce a model for innovation-, evolution- and opinion dynamics whose
spreading is dictated by unanimity rules, i.e. a node will change its (binary)
state only if all of its neighbours have the same corresponding state. It is
shown that a transition takes place depending on the initial condition of the
problem. In particular, a critical number of initially activated nodes is
needed so that the whole system gets activated in the long-time limit. The
influence of the degree distribution of the nodes is naturally taken into
account. For simple network topologies we solve the model analytically, the
cases of random, small-world and scale-free are studied in detail.Comment: 7 pages 4 fig
Annealing schedule from population dynamics
We introduce a dynamical annealing schedule for population-based optimization
algorithms with mutation. On the basis of a statistical mechanics formulation
of the population dynamics, the mutation rate adapts to a value maximizing
expected rewards at each time step. Thereby, the mutation rate is eliminated as
a free parameter from the algorithm.Comment: 6 pages RevTeX, 4 figures PostScript; to be published in Phys. Rev.
A 20 Ghz Depolarization Experiment Using the ATS-6 Satellite
A depolarization experiment using the 20 GHz downlink from the ATS-6 satellite was described. The following subjects were covered: (1) an operational summary of the experiment, (2) a description of the equipment used with emphasis on improvements made to the signal processing receiver used with the ATS-5 satellite, (3) data on depolarization and attenuation in one snow storm and two rain storms at 45 deg elevation, (4) data on low angle propagation, (5) conclusions about depolarization on satellite paths, and (6) recommendations for the depolarization portion of the CTS experiment
Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
We evolve network topology of an asymmetrically connected threshold network
by a simple local rewiring rule: quiet nodes grow links, active nodes lose
links. This leads to convergence of the average connectivity of the network
towards the critical value in the limit of large system size . How
this principle could generate self-organization in natural complex systems is
discussed for two examples: neural networks and regulatory networks in the
genome.Comment: 4 pages RevTeX, 4 figures PostScript, revised versio
Minijet corrections to Higgs production
We study higher order corrections to Higgs production with an associated jet
at SSC energies, using the resummation of the leading logarithmic contributions
to multiple gluon emissions due to Lipatov and collaborators. We find a
considerable enhancement of Higgs production at large transverse momenta.Comment: 15 page
Competition in Social Networks: Emergence of a Scale-free Leadership Structure and Collective Efficiency
Using the minority game as a model for competition dynamics, we investigate
the effects of inter-agent communications on the global evolution of the
dynamics of a society characterized by competition for limited resources. The
agents communicate across a social network with small-world character that
forms the static substrate of a second network, the influence network, which is
dynamically coupled to the evolution of the game. The influence network is a
directed network, defined by the inter-agent communication links on the
substrate along which communicated information is acted upon. We show that the
influence network spontaneously develops hubs with a broad distribution of
in-degrees, defining a robust leadership structure that is scale-free.
Furthermore, in realistic parameter ranges, facilitated by information exchange
on the network, agents can generate a high degree of cooperation making the
collective almost maximally efficient.Comment: 4 pages, 2 postscript figures include
A depolarization and attenuation experiment using the CTS satellite. Volume 1: Experiment description
An experiment for measuring precipitation attenuation and depolarization on the Communications Technology Satellite (CTS) 11.7 GHz downlink is described. Attenuation and depolarization of the signal received from the spacecraft is monitored on a 24 hour basis. Data is correlated with ground weather conditions. Theoretical models for millimeter wave propagation through rain are refined for maximum agreement with observed data. Techniques are developed for predicting and mimimizing the effects of rain scatter and depolarization on future satellite communication systems
Warm dark matter at small scales: peculiar velocities and phase space density
We study the scale and redshift dependence of the power spectra for density
perturbations and peculiar velocities, and the evolution of a coarse grained
phase space density for (WDM) particles that decoupled during the radiation
dominated stage. The (WDM) corrections are obtained in a perturbative expansion
valid in the range of redshifts at which N-body simulations set up initial
conditions, and for a wide range of scales. The redshift dependence is
determined by the kurtosis of the distribution function at
decoupling. At large redshift there is an enhancement of peculiar velocities
for that contributes to free streaming and leads to further
suppression of the matter power spectrum and an enhancement of the peculiar
velocity autocorrelation function at scales smaller than the free streaming
scale. Statistical fluctuations of peculiar velocities are also suppressed on
these scales by the same effect. In the linearized approximation, the coarse
grained phase space density features redshift dependent (WDM) corrections from
gravitational perturbations determined by the power spectrum of density
perturbations and . For it \emph{grows
logarithmically} with the scale factor as a consequence of the suppression of
statistical fluctuations. Two specific models for WDM are studied in detail.
The (WDM) corrections relax the bounds on the mass.Comment: 22 pages, 9 figs, more explanations. Published versio
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