29 research outputs found

    Information sharing in Quantum Complex Networks

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    We introduce the use of entanglement entropy as a tool for studying the amount of information shared between the nodes of quantum complex networks. By considering the ground state of a network of coupled quantum harmonic oscillators, we compute the information that each node has on the rest of the system. We show that the nodes storing the largest amount of information are not the ones with the highest connectivity, but those with intermediate connectivity thus breaking down the usual hierarchical picture of classical networks. We show both numerically and analytically that the mutual information characterizes the network topology. As a byproduct, our results point out that the amount of information available for an external node connecting to a quantum network allows to determine the network topology.Comment: text and title updated, published version [Phys. Rev. A 87, 052312 (2013)

    Quantum Navigation and Ranking in Complex Networks

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    Complex networks are formal frameworks capturing the interdependencies between the elements of large systems and databases. This formalism allows to use network navigation methods to rank the importance that each constituent has on the global organization of the system. A key example is Pagerank navigation which is at the core of the most used search engine of the World Wide Web. Inspired in this classical algorithm, we define a quantum navigation method providing a unique ranking of the elements of a network. We analyze the convergence of quantum navigation to the stationary rank of networks and show that quantumness decreases the number of navigation steps before convergence. In addition, we show that quantum navigation allows to solve degeneracies found in classical ranks. By implementing the quantum algorithm in real networks, we confirm these improvements and show that quantum coherence unveils new hierarchical features about the global organization of complex systems.Comment: title changed, more real networks analyzed, version published in scientific report

    Electrodinámica Cuántica en Cavidad Multimodo

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    Along this dissertation we review and understand the basic single-atom cavity QED models, as well as analyse their basic phenomenology and the different regimes they exhibit depending on the coupling strength between light and matter. We also establish that cavity QED implementations are many-body systems that are difficult to handle both analytically and numerically, and understand the polaron transform as a useful tool to treat these models semi-analytically. Furthermore, we identify the biased spin-boson model and study its properties via a generalisation of the polaron ansatz, comparing it with respect to the original. Further, we also validate our results against exact diagonalisation and draw some conclusions.<br /

    Redes neuronales para aprender Hamiltonianos

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    En este trabajo se plantea la posibilidad de obtener los parámetros de un hamiltoniano de anisotroía a partir de unas medidas de capacidad calorífica de una muestra utilizando redes neuronales. Para ello se estudia el aprendizaje de una red neuronal a partir de datos sintéticos en diferentes condiciones y se utilizan los datos experimentales de una muestra de una molécula magnética que contiene un ion Ni(II) con el fin de comprobar la eficacia de la red neuronal.<br /

    A Dissymmetric [Gd2] Coordination Molecular Dimer Hosting six Addressable Spin Qubits

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    Artificial magnetic molecules can host several spin qubits, which could then implement small-scale algorithms. In order to become of practical use, such molecular spin processors need to increase the available computational space and warrant universal operations. Here, we design, synthesize and fully characterize dissymetric molecular dimers hosting either one or two Gadolinium(III) ions. The strong sensitivity of Gadolinium magnetic anisotropy to its local coordination gives rise to different zero-field splittings at each metal site. As a result, the [LaGd] and [GdLu] complexes provide realizations of distinct spin qudits with eight unequally spaced levels. In the [Gd2] dimer, these properties are combined with a Gd-Gd magnetic interaction, sufficiently strong to lift all level degeneracies, yet sufficiently weak to keep all levels within an experimentally accessible energy window. The spin Hamiltonian of this dimer allows a complete set of operations to act as a 64-dimensional all-electron spin qudit, or, equivalently, as six addressable qubits. Electron paramagnetic resonance experiments show that resonant transitions between different spin states can be coherently controlled, with coherence times TM of the order of 1 µs limited by hyperfine interactions. Coordination complexes with embedded quantum functionalities are promising building blocks for quantum computation and simulation hybrid platforms

    Micromón València (Universitat de València)

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    En Julio de 2017 se creó la red SWI@Spain, auspiciada por el grupo de Docencia y Difusión de la Microbiología (DDM) de la Sociedad Española de Microbiología (SEM), para desarrollar la iniciativa internacional Small World Initiative (SWI) en la península ibérica. En la Universitat de València (UV) se constituyó entonces el grupo de Innovación Docente en Microbiología (IDM) para implementar el proyecto a nivel local. Avalados por el Servei de Formació Permanent i Innovació Educativa (SFPIE) de la UV, el grupo ha llevado a cabo diferentes iniciativas relacionadas con el objetivo fundamental del proyecto: divulgar la problemática actual relacionada con el uso inadecuado de antibióticos, el incremento de bacterias resistentes a éstos y la necesidad de encontrar nuevas moléculas con actividad antibacteriana para combatir las infecciones que provocan

    Information sharing in quantum complex networks

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    We introduce the use of entanglement entropy as a tool for studying the amount of information shared between the nodes of quantum complex networks. By considering the ground state of a network of coupled quantum harmonic oscillators, we compute the information that each node has on the rest of the system. We show that the nodes storing the largest amount of information are not the ones with the highest connectivity, but those with intermediate connectivity, thus breaking down the usual hierarchical picture of classical networks. We show both numerically and analytically that the mutual information characterizes the network topology. As a by-product, our results point out that the amount of information available for an external node connecting to a quantum network allows one to determine the network topology. © 2013 American Physical Society.We acknowledge Diego Blas for discussions and support from the Spanish DGICYT under Projects No. FIS2011-14539-E (EXPLORA program), No. FIS2011-23526, and No. FIS2011-25167, and by the Aragón (Grupo FENOL) and Balearic Governments. F.G. acknowledges the CSIC postdoctoral JAE program and the TIQS (FIS2011-23526) project. J.G.G. is supported by MINECO through the Ramón y Cajal program.Peer Reviewe
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