Entanglement between two superconducting qubits via interaction with nonclassical radiation

We propose a scheme to physically interface superconducting nanocircuits and quantum optics. We address the transfer of quantum information between systems having different physical natures and defined in Hilbert spaces of different dimensions. In particular, we investigate the transfer of the entanglement initially in a nonclassical state of an infinite dimensional system to a pair of superconducting charge qubits. This setup is able to drive an initially separable state of the qubits into an almost pure, highly entangled state suitable for quantum information processing.

Conclusive teleportation of a d-dimensional unknown state

We formulate a conclusive teleportation protocol for a system in d-dimensional Hilbert space utilizing the positive operator- valued measurement. The conclusive teleportation protocol ensures some perfect teleportation events when the channel is only partially entangled. at the expense of lowering the overall average fidelity. We discuss how much information remains in the inconclusive parts of the teleportation.

Quantum nonlocality for a mixed entangled coherent state

Quantum nonlocality is tested for an entangled coherent state, interacting with a dissipative environment. A pure entangled coherent state violates Bell's inequality regardless of its coherent amplitude. The higher the initial nonlocality, the more rapidly quantum nonlocality is lost. The entangled coherent state can also be investigated in the framework of 2x2 Hilbert space. The quantum nonlocality persists longer in 2x2 Hilbert space. When it decoheres it is found that the entangled coherent state fails the nonlocality test, which contrasts with the fact that the decohered entangled state is always entangled.

Accumulation of entanglement in a continuous variable memory

We study entanglement accumulation in a memory built out of two continuous variable systems interacting with a qubit that mediates their indirect coupling. We show that, in contrast with the case of bidimensional Hilbert spaces, entanglement superior to one ebit can be accumulated in the memory, even though no entangled resource is used. The protocol is immediately implementable and we assess the role of the main imperfections.

Compact operators without extended eigenvalues

A complex number lambda is called an extended eigenvalue of a bounded linear operator T on a Banach space B if there exists a non-zero bounded linear operator X acting on B such that XT = lambda TX. We show that there are compact quasinilpotent operators on a separable Hilbert space, for which the set of extended eigenvalues is the one-point set {1}.

Time operators for one parameter semigroups

We develop two simple approaches to the construction of time operators for semigroups of continuous linear operators in Hilbert spaces provided that the generators of these semigroups are normal operators. The first approach enables us to give explicit formulas (in the spectral representations) both for the time operators and for their eigenfunctions. The other approach provides no explicit formula. However, it enables us to find necessary and sufficient conditions for the existence of time operators for semigroups of continuous linear operators in separable Hilbert spaces with normal generators. Time superoperators corresponding to unitary groups are also discussed.

Decay spectrum and decay subspace of normal operators

Let A be a self-adjoint operator on a Hilbert space. It is well known that A admits a unique decomposition into a direct sum of three self-adjoint operators A(p), A(ac) and A(sc) such that there exists an orthonormal basis of eigenvectors for the operator A(p) the operator A(ac) has purely absolutely continuous spectrum and the operator A(sc) has purely singular continuous spectrum. We show the existence of a natural further decomposition of the singular continuous component A c into a direct sum of two self-adjoint operators A(sc)(D) and A(sc)(ND). The corresponding subspaces and spectra are called decaying and purely non-decaying singular subspaces and spectra. Similar decompositions are also shown for unitary operators and for general normal operators.

Extended spectral decompositions of the Renyi map

We present new general methods to obtain spectral decompositions of dynamical systems in rigged Hilbert spaces and investigate the existence of resonances and the completeness of the associated eigenfunctions. The results are illustrated explicitly for the simplest chaotic endomorphism, namely the Renyi map.

Inscribir el declive en el tiempo. Detroit: Auge y crisis de la ciudad industrial

A comienzos del siglo XX, Detroit era una ciudad dinámica en pleno desarrollo. Pronto se convirtió en la cuarta ciudad de Estados Unidos, la capital de la naciente industria automovilística. El crecimiento se prolongó hasta finales de los años 50, cuando, a pesar del auge económico de Estados Unidos y de su área metropolitana, Detroit comenzó a mostrar los primeros signos de estancamiento. La crisis se ha prolongado hasta hoy, cuando Detroit constituye el paradigma de la ciudad industrial en declive. Estas dos imágenes contrapuestas, el auge y la crisis, no parecen explicar por sí mismas las causas de la intensidad y persistencia del declive de Detroit. Analizar las interacciones entre crecimiento económico, políticas públicas locales y desarrollo urbano a lo largo del tiempo permitirá subrayar las continuidades y comprender en qué medida el declive de Detroit ancla sus raíces en el modelo planteado durante la etapa de auge.

Reduced-complexity iterative equalization for severe time-dispersive MIMO channels

In this paper, a reduced-complexity soft-interference-cancellation minimum mean-square-error.(SIC-MMSE) iterative equalization method for severe time-dispersive multiple-input-multiple-output (MIMO) channels is proposed. To mitigate the severe time dispersiveness of the channel, a single carrier with cyclic prefix is employed, and the equalization is per-formed in the frequency domain. This simplifies the challenging problem of equalization in MIMO channels due to both the intersymbol interference (ISI) and the coantenna interference (CAI). The proposed iterative algorithm works in two stages. The first stage estimates the transmitted frequency-domain symbols using a low-complexity SIC-MMSE equalizer. The second stage converts the estimated frequency-domain symbols in the time domain and finds their means and variances to incorporate in the SIC-MMSE equalizer in the next iteration. Simulation results show the bit-/symbol-error-rate performance of the SIC-MMSE equalizer, with and without coding, for various modulation schemes.

The unit ball of the complex P(3H)

Let H be a two-dimensional complex Hilbert space and P(3H) the space of 3-homogeneous polynomials on H. We give a characterization of the extreme points of its unit ball, P(3H), from which we deduce that the unit sphere of P(3H) is the disjoint union of the sets of its extreme and smooth points. We also show that an extreme point of P(3H) remains extreme as considered as an element of L(3H). Finally we make a few remarks about the geometry of the unit ball of the predual of P(3H) and give a characterization of its smooth points.

Compactness properties of operator multipliers

We continue the study of multidimensional operator multipliers initiated in~cite{jtt}. We introduce the notion of the symbol of an operator multiplier. We characterise completely compact operator multipliers in terms of their symbol as well as in terms of approximation by finite rank multipliers. We give sufficient conditions for the sets of compact and completely compact multipliers to coincide and characterise the cases where an operator multiplier in the minimal tensor product of two C*-algebras is automatically compact. We give a description of multilinear modular completely compact completely bounded maps defined on the direct product of finitely many copies of the C*-algebra of compact operators in terms of tensor products, generalising results of Saar

The soundscape as time capsule: A creative project based on the sounds of the first train station of Cuenca

This article reflects on the changing environment through the passage of time and how certain technologies for a creative proposal allow the preservation and transmission of a significant part of that ephemeral heritage for future generations. The general purpose of this particular project is aimed to achieve the sound synthesis of a specific and representative cityscape as the old train station in Cuenca –located in the heart of the city– that could be preserved and reproduced as an unique document of a present time, ascertainable in the future: a memory that interpret sound as a time capsule. This soundscape was made to mark the arrival of the high speed train in 2010 to a brand new station in the outskirts of the city. Therefore, the goal of this research was focused on achieving a synthetic document that provided a sound memory capable of reflecting the significant social, cultural and logistical features, of what was until then the only railway communication symbol in the city of Cuenca from 1883 to the first decade of the 21st century.

The Rhetorical Construction of Corporate Logos

This research is set in the context of today’s societies, in which the corporate visual symbology of a business, corporation or institution constitutes an essential way to transmit its corporate image. Traditional discursive procedures can be discovered in the development of these signs. The rhetorical strategies developed by the great classical authors appear in the logo-symbols expressing the corporate values of today’s companies. Thus, rhetoric is emerging once again in the sense it had many centuries ago: A repertory of rules that, paradoxically, standardizes the deviations of language and whose control is synonymous with power. The main objective of this study is to substantiate the rhetorical construction of logos using as a model of analysis the classical process of creating discourse. This involves understanding logos as persuasive discourses addressed to a modern audience. Our findings show that the rhetorical paradigm can be considered as a creative model for the con­struction of an original logo consistent with a company’s image.

About infamy: the filthiness of Art and its diogenic disease

In this paper, we postulate the direct relationship that exists between waste production and artistic objects; its manufacturing system, consumption, and subsequent waste. What arises in this relationship then, is another character of interest –and that will serve as a reference to compare its modus operandi with the place of artists and the arts–, in this sick world, the Diogenes. The obsessed that lives among the garbage. The absurdity of the conquest of the infinite of the illogical within the logical. The amount clouded and blinded, nothing is enjoyed, nothing is appreciated; the countless abandons its place in the memory –memorable– and there only exists a pathological accumulation, mountains of garbage, desires to hold on to vital faith of the belief of doing Something for themselves. Working just to work and building something that will not last, like a sand castle, accumulation of detritus and dust. A new logic is born, the enjoyment of diseases and emptiness, the destruction of a world without a history. «Artists of the world, abandon! You have nothing to lose but your own professions!» (Kaprow, 2007, p. 37).