Multi-partite analysis of average-subsystem entropies

So-called average subsystem entropies are defined by first taking partial traces over some pure state to define density matrices, then calculating the subsystem entropies, and finally averaging over the pure states to define the average subsystem entropies. These quantities are standard tools in quantum information theory, most typically applied in bipartite systems. We shall first present some extensions to the usual bipartite analysis, (including a calculation of the average tangle, and a bound on the average concurrence), follow this with some useful results for tripartite systems, and finally extend the discussion to arbitrary multi-partite systems. A particularly nice feature of tri-partite and multi-partite analyses is that this framework allows one to introduce an "environment" for small subsystems to couple to.Comment: Minor changes. 1 reference added. Published versio

Entropy budget for Hawking evaporation

Blackbody radiation, emitted from a furnace and described by a Planck spectrum, contains (on average) an entropy of $3.9\pm 2.5$ bits per photon. Since normal physical burning is a unitary process, this amount of entropy is compensated by the same amount of "hidden information" in correlations between the photons. The importance of this result lies in the posterior extension of this argument to the Hawking radiation from black holes, demonstrating that the assumption of unitarity leads to a perfectly reasonable entropy/information budget for the evaporation process. In order to carry out this calculation we adopt a variant of the "average subsystem" approach, but consider a tripartite pure system that includes the influence of the rest of the universe, and which allows "young" black holes to still have a non-zero entropy; which we identify with the standard Bekenstein entropy.Comment: Proceedings of the conference "VARCOSMOFUN'16" in Szczecin, Poland, 12-17 September, 2016. Accepted for publication in "Universe", belonging to the Special Issue "Varying Constants and Fundamental Cosmology

Generalized uncertainty principle impact onto the black holes information flux and the sparsity of Hawking radiation

We investigate the generalized uncertainty principle (GUP) corrections to the entropy content and the information flux of black holes, as well as the corrections to the sparsity of the Hawking radiation at the late stages of evaporation. We find that due to these quantum gravity motivated corrections, the entropy flow per particle reduces its value on the approach to the Planck scale due to a better accuracy in counting the number of microstates. We also show that the radiation flow is no longer sparse when the mass of a black hole approaches Planck mass which is not the case for non-GUP calculations.Comment: 6 pages, 2 figures, typos corrected, published in Phys. Rev.

Looking backward to look forward: water use and economic growth from a long-term perspective

Recent research has examined the relationship between natural resources and economic growth. Considered vitally important, not only for humanity’s well-being but also for ecosystem integrity, the relationship between water use and economic growth has traditionally garnered little attention by analysts. This paper studies water use trends from 1900 to 2000 throughout the world, and their main determinants. To do this, we first analyse historical water use trajectories. Second, to proceed with the determinants of water use, we reformulate the IPAT equation (Ehrlich and Holdren, 1971; Commoner et al. 1971), decomposing water use trends into changes in economic demands and in water use intensity. Finally, a simple scenario analysis is conducted, to project future water use trends under different economic, demographic and technological assumptions. The empirical evidence shows that economic and population growth have been crucial for explaining the increase in water use over the past 100 years, with significant regional differences. Nevertheless, the decline in water use intensity has been responsible for a significant reduction in the growth of total water use.Water use, environmental impacts, economic growth, IPAT model, scenario analysis

Assessment of heritage rammed-earth buildings. The Alcázar of King Don Pedro I (Spain).

The conservation and maintenance of earthen buildings is crucial, especially when dealing with heritage sites. This normally involves considerable effort in preliminary studies, which must be well planned in order to efficiently manage any restoration. This case study proposes a methodology to briefly assess the current state of a historical rammed-earth wall, to bring to light specific information regarding approaches for subsequent studies or decisions. This methodology is based on the study of damage and risk as a tool to swiftly discern critical areas or issues needing immediate attention. The procedure is illustrated on an outstanding heritage building: the Alcázar of King Don Pedro I in Carmona (Seville, Spain). Our conclusions confirm that this methodology constitutes an efficient and straightforward means to obtain not only a preliminary assessment of rammed-earth walls, but also objective and useful criteria for decision-makers

Minimal length and the flow of entropy from black holes

The existence of a minimal length, predicted by different theories of quantum gravity, can be phenomenologically described in terms of a generalized uncertainty principle. We consider the impact of this quantum gravity motivated effect onto the information budget of a black hole and the sparsity of Hawking radiation during the black hole evaporation process. We show that the information is not transmitted at the same rate during the final stages of the evaporation and that the Hawking radiation is not sparse anymore when the black hole approaches the Planck mass.Comment: Awarded Honorable Mention in the 2018 Gravity Research Foundation Essay Competitio

Synthesis and study of biological activity of tetrahydro-1H-[3]-benzazepines

The 3-Benzazepines are an important class of compounds in drug discovery due to their biological activity such as analgesic, antihypertensive or anticancer properties as well as dopaminergic or antidopaminergic activity. In particular, the tetrahydro-1H-[3]- benzazepine is a common skeleton in a number of natural and pharmaceutical products. As consequence of the interesting biological properties, derivatives of the tetrahydro-1H-[3]-benzazepines, especially the 1-aryl substituted have been synthesized by different routes and evaluated their pharmacologic activity. [1,2] The stereoselective synthetic approaches of tetrahydro-1H-[3]-benzazepine have focused on ring enlargements, as the Stevens rearrangement (SR) which is a good regio- and diastereoselective synthetic methodology. In my research group, the reaction conditions to synthesize tetrahydro-1H-[3]-benzazepines 1,2-disubstituted by via SR from tetrahydroisoquinolinium salts conveniently functionalized have been optimized. [3,4] This methodology allowed us to obtain a wide variety of tetrahydro-1H-[3]- benzazepines 1,2-disubstituted with different substituents at A-ring (Cl, OMe) and the C-1 (-C6H4X, X = H, OMe, Cl, NO2, NMe2, NH2, SMe) and C-2 (Electron-withdrawing groups) positions. The demethylation of the synthesized tetrahydroisoquinolines and tetrahydro-1H-[3]-benzazepines 1,2-disubstituted, lead us to get catechol structure, an important requirement for their dopaminergic activity. We have studied the dopaminergic activity of the synthesized compounds by radioligand binding assays, establishing a structure-activity relationships. Literature: [1] A. Gini, Adv. Synth. Catal. 2016, 358, 4049. [2] H. Damsen, Eur. J. Org. Chem. 2015, 36, 7880. [3] M. Valpuesta, Eur. J. Org. Chem. 2010, 23, 4393. [4] M. Ariza, Eur. J. Org. Chem. 2011, 32, 6507.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech

Synthesis of bioactive compounds. Studies of their attachment to nanoparticles

The 1-aryl tetrahydroisoquinolines have attracted great attention in medicinal chemistry due to their biological activity. These compounds present antitumor, anti-HIV and antibacterial activities. Several analogues of 1-aryl tetrahydroisoquinoline are used for the treatment of neurodegenerative diseases such as Parkinson´s and Alzheimer´s diseases since also act as dopaminergic antagonists and N-methyl-D-aspartate receptor antagonist. [1] The 1-substituted tetrahydro-3-benzazepines have also been studied for their affinity to the Phencylclidine binding site of the NMDA receptor as well as for their affinity to the dopaminergic receptors. [2] In the last years, various methods have been carried out to satisfy the demand of novel tetrahydroisoquinolines and tetrahydro-3-benzazepines. We have synthesized nor-1-aryl tetrahydroisoquinolines with different substituents in the aryl group of C-1 (H, NMe2, SMe, NO2, NH2). In addition to this, we have performed the synthesis of nor-tetrahydro-3-benzazepinas by different routes, obtaining the best results via opening of epoxides by arylphenethylamines and subsequent cyclization. The nor-tetrahydroisoquinolines and nor-tetrahydro-3-benzazepines have been derivatized to obtain appropiate adsorbates which can be attached to nanoparticles. This fact is crutial in drug delivery systems as well as in the improvement of the biocompatibility of these compounds. Literature: [1] Toshiaki Saitoh, Eur. J. Med. Chem. 2006, 41, 241. Mattias Ludwig, Eur. J. Med. 2006, 41, 1003. [2] Olaf Krull, Bioorg. Med. Chem. 2004, 12, 1439.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tec

f(R)f(R) quantum cosmology: avoiding the Big Rip

Extended theories of gravity have gathered a lot of attention over the last years, for they not only provide an excellent framework to describe the inflationary era but also yields an alternative to the elusive and mysterious dark energy. Among the different extended theories of gravity, on this work we focus on metric $f(R)$ theories. In addition, it is well known that if the late-time acceleration of the universe is stronger than the one induced by a cosmological constant then some future cosmic singularities might arise, being the Big Rip the most virulent one. Following this reasoning, on this work, we analyse the Big Rip singularity in the framework of $f(R)$ quantum geometrodynamics. Invoking the DeWitt criterium, i. e. that the wave function vanishes at the classical singularity, we proof that a class of solutions to the Wheeler-DeWitt equation fulfilling this condition can be found. Therefore, this result hints towards the avoidance of the Big Rip in metric $f(R)$ theories of gravity.Comment: V1:13 pages. Dedicated to the memory of Prof. Pedro F. Gonzalez-Diaz (our former PhD supervisor). V2: 9 pages (new style), minor clarifications included, no physics changes, 6 references added. Version accepted for publication in Physical Review