13,624 research outputs found
A dynamical point of view of Quantum Information: entropy and pressure
Quantum Information is a new area of research which has been growing rapidly
since last decade. This topic is very close to potential applications to the so
called Quantum Computer. In our point of view it makes sense to develop a more
"dynamical point of view" of this theory. We want to consider the concepts of
entropy and pressure for "stationary systems" acting on density matrices which
generalize the usual ones in Ergodic Theory (in the sense of the Thermodynamic
Formalism of R. Bowen, Y. Sinai and D. Ruelle). We consider the operator
acting on density matrices over a finite
-dimensional complex Hilbert space where and , are
operators in this Hilbert space. is not a linear operator. In
some sense this operator is a version of an Iterated Function System (IFS).
Namely, the , , play the role of the
inverse branches (acting on the configuration space of density matrices )
and the play the role of the weights one can consider on the IFS. We
suppose that for all we have that . A
family determines a Quantum Iterated Function System
(QIFS) , $\mathcal{F}_W=\{\mathcal{M}_N,F_i,W_i\}_{i=1,...,
k}.
A dynamical point of view of Quantum Information: Wigner measures
We analyze a known version of the discrete Wigner function and some
connections with Quantum Iterated Funcion Systems. This paper is a follow up of
"A dynamical point of view of Quantum Information: entropy and pressure" by the
same authors
A Thermodynamic Formalism for density matrices in Quantum Information
We consider new concepts of entropy and pressure for stationary systems
acting on density matrices which generalize the usual ones in Ergodic Theory.
Part of our work is to justify why the definitions and results we describe here
are natural generalizations of the classical concepts of Thermodynamic
Formalism (in the sense of R. Bowen, Y. Sinai and D. Ruelle). It is well-known
that the concept of density operator should replace the concept of measure for
the cases in which we consider a quantum formalism. We consider the operator
acting on the space of density matrices over a finite
-dimensional complex Hilbert space where and ,
are linear operators in this Hilbert space. In some sense this
operator is a version of an Iterated Function System (IFS). Namely, the
, , play the role of the inverse branches
(i.e., the dynamics on the configuration space of density matrices) and the
play the role of the weights one can consider on the IFS. In this way a
family determines a Quantum Iterated Function System
(QIFS). We also present some estimates related to the Holevo bound
Assessment of fibre orientation and distribution in steel fibre reinforced self-compacting concrete panels
The benefits of adding fibres to concrete lie, mostly, in improving the post-cracking
behaviour, since its ability to transfer stresses across cracked sections is substantially increased. The
post-cracking strength is dependent not only on the fibre geometry, mechanical performance and
fibre/matrix interface properties, but also on the fibre orientation and distribution. Previous works have
shown that in self-compacting concrete matrices, there is a preferential fibre alignment according to
the concrete’s flow in the fresh state. Having in mind that fibres are more efficient if they are oriented
according the principal tensile stresses, a preferential fibre alignment on a certain direction could
either enhance or diminish the material and the structural performance of this composite. In this paper,
it is investigated the influence of the fibre orientation and distribution on the post-cracking behaviour of
the steel fibre reinforced self-compacting concrete (SFRSCC). To perform this evaluation, SFRSCC
panels were casted from their centre point. Two self-compacting mixtures were prepared using the
same base mix proportions. For each SFRSCC panel cylindrical specimens were extracted and the
post-cracking behaviour was assessed from a crack width controlled splitting tensile test
Asymptotic Entanglement Dynamics and Geometry of Quantum States
A given dynamics for a composite quantum system can exhibit several distinct
properties for the asymptotic entanglement behavior, like entanglement sudden
death, asymptotic death of entanglement, sudden birth of entanglement, etc. A
classification of the possible situations was given in [M. O. Terra Cunha,
{\emph{New J. Phys}} {\bf{9}}, 237 (2007)] but for some classes there were no
known examples. In this work we give a better classification for the possibile
relaxing dynamics at the light of the geometry of their set of asymptotic
states and give explicit examples for all the classes. Although the
classification is completely general, in the search of examples it is
sufficient to use two qubits with dynamics given by differential equations in
Lindblad form (some of them non-autonomous). We also investigate, in each case,
the probabilities to find each possible behavior for random initial states.Comment: 9 pages, 2 figures; revised version accepted for publication in J.
Phys. A: Math. Theo
Quantum computing with incoherent resources and quantum jumps
Spontaneous emission and the inelastic scattering of photons are two natural
processes usually associated with decoherence and the reduction in the capacity
to process quantum information. Here we show that when suitably detected, these
photons are sufficient to build all the fundamental blocks needed to perform
quantum computation in the emitting qubits while protecting them from
deleterious dissipative effects. We exemplify by showing how to teleport an
unknown quantum state and how to efficiently prepare graph states for the
implementation of measurement-based quantum computation.Comment: 5 pages, 5 figure
Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy
We describe some basic results for Quantum Stochastic Processes and present some new results about a certain class of processes which are associated to Quantum Iterated Function Systems (QIFS). We discuss questions related to the Markov property and we present a de nition of entropy which is induced by a QIFS. This definition is a natural generalization of the Shannon-Kolmogorov entropy from Ergodic Theory
Chemosymbiotic species from the Gulf of Cadiz
Previous work in the mud volcanoes from the Gulf
of Cadiz (South Iberian Margin) revealed a high number
of chemosymbiotic species, namely bivalves and siboglinid
polychaetes. In this study we give an overview of the distribution
and life styles of these species in the Gulf of Cadiz,
determine the role of autotrophic symbionts in the nutrition
of selected species using stable isotope analyses ( 13C, 15N
and 34S) and investigate the intra-specific variation of isotope
signatures within and between study sites. During our
studies, we identified twenty siboglinidae and nine bivalve
chemosymbiotic species living in fifteen mud volcanoes.
Solemyid bivalves and tubeworms of the genus Siboglinum
are widespread in the study area, whereas other species
were found in a single mud volcano (e.g. “Bathymodiolus”
mauritanicus) or restricted to deeper mud volcanoes (e.g.
Polybrachia sp., Lamelisabella denticulata). Species distribution
suggests that different species may adjust their position
within the sediment according to their particular needs,
and to the intensity and variability of the chemical substrata
supply. Tissue stable isotope signatures for selected
species are in accordance with values found in other studies,
with thiotrophy as the dominant nutritional pathway, and
with methanotrophy and mixotrophy emerging as secondary
strategies. The heterogeneity in terms of nutrient sources (expressed
in the high variance of nitrogen and sulphur values)
and the ability to exploit different resources by the different
species may explain the high diversity of chemosymbiotic
species found in the Gulf of Cadiz. This study increases the
knowledge on distributional patterns and resource partitioning
of chemosymbiotic species and highlights how trophic
fuelling varies on spatial scales with direct implications to
seep assemblages and potentially to the biodiversity of continental
margin
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