Distillable entanglement and area laws in spin and harmonic-oscillator systems

We address the presence of nondistillable (bound) entanglement in natural many-body systems. In particular, we consider standard harmonic and spin-1/2 chains, at thermal equilibrium and characterized by few interaction parameters. The existence of bound entanglement is addressed by calculating explicitly the negativity of entanglement for different partitions. This allows us to individuate a range of temperatures for which no entanglement can be distilled by means of local operations, despite the system being globally entangled. We discuss how the appearance of bound entanglement can be linked to entanglement-area laws, typical of these systems. Various types of interactions are explored, showing that the presence of bound entanglement is an intrinsic feature of these systems. In the harmonic case, we analytically prove that thermal bound entanglement persists for systems composed by an arbitrary number of particles. Our results strongly suggest the existence of bound entangled states in the macroscopic limit also for spin-1/2 systems.

Area laws and entanglement distillability of thermal states

We study the entanglement distillability properties of thermal states of many-body systems Following the ideas presented in [6, A Ferraro et al., Phys. Rev Lett 100, 080502 (2008)], we first discuss the appearance of bound entanglement in those systems satisfying an entanglement area law Then, we extend these results to other topologies, not necessarily satisfying an entanglement area law We also study whether bound entanglement survives in the macroscopic limit of an infinite number of particles.

The Reintegration of Sex Offenders: Barriers and Opportunities for Employment

The process of reintegration of offenders after release from prison, or during a community sentence, is a key aim of criminal justice policy. This article provides details from recent research that investigated the barriers and opportunities to employment for sex offenders. The authors describe the barriers that are faced by sex offenders and the anxieties that employers experience when employing sex offenders. The authors conclude that the approach taken by the State is less than reintegrative and serves to increase the barriers and reduce the opportunities for employment for sex offenders.

Massive MIMO with Non-Ideal Arbitrary Arrays: Hardware Scaling Laws and Circuit-Aware Design

Massive multiple-input multiple-output (MIMO) systems are cellular networks where the base stations (BSs) are equipped with unconventionally many antennas, deployed on colocated or distributed arrays. Huge spatial degrees-of-freedom are achieved by coherent processing over these massive arrays, which provide strong signal gains, resilience to imperfect channel knowledge, and low interference. This comes at the price of more infrastructure; the hardware cost and circuit power consumption scale linearly/affinely with the number of BS antennas N. Hence, the key to cost-efficient deployment of large arrays is low-cost antenna branches with low circuit power, in contrast to today’s conventional expensive and power-hungry BS antenna branches. Such low-cost transceivers are prone to hardware imperfections, but it has been conjectured that the huge degrees-of-freedom would bring robustness to such imperfections. We prove this claim for a generalized uplink system with multiplicative phasedrifts, additive distortion noise, and noise amplification. Specifically, we derive closed-form expressions for the user rates and a scaling law that shows how fast the hardware imperfections can increase with N while maintaining high rates. The connection between this scaling law and the power consumption of different transceiver circuits is rigorously exemplified. This reveals that one can make the circuit power increase as p N, instead of linearly, by careful circuit-aware system design.

Sex hormone binding globulin and insulin resistance

Sex hormone binding globulin (SHBG) is a glycoprotein composed of two 373-amino-acid subunits. The SHBG gene and a promotor region have been identified. The SHBG receptor has yet to be cloned but is known to act through a G-protein-linked second-messenger system following plasma membrane binding. The principal function of SHBG has traditionally been considered to be that of a transport protein for sex steroids, regulating circulating concentrations of free (unbound) hormones and their transport to target tissues. Recent research suggests that SHBG has functions in addition to the binding and transport of sex steroids. Observational studies have associated a low SHBG concentration with an increased incidence of type 2 diabetes mellitus (DM) independent of sex hormone levels in men and women. Genetic studies using Mendelian randomization analysis linking three single nucleotide polymorphisms of the SHBG gene to risk of developing type 2 DM suggest SHBG may have a role in the pathogenesis of type 2 DM. The correlation between SHBG and insulin resistance that is evident in a number of cross-sectional studies is in keeping with the suggestion that the association between SHBG and incidence of type 2 DM is explained by insulin resistance. Several potential mechanisms may account for this association, including the identification of dietary factors that influence SHBG gene transcription. Further research to characterize the SHBG-receptor and the SHBG second messenger system is required. An interventional study examining the effects on insulin resistance of altering SHBG concentrations may help in determining whether this association is causal.

Sex equality law after Kalanke and Marschall

In Marschall, the ECJ looked for the second time into the admissibility of positive action in German public services; a third reference on this issue is still pending.
Despite the Court’s positive response to the ‘women’s quota’ in Marschall, its application in Germany remains controversial. This article tries to shed some light on the specific conditions under which women’s quotas were implemented in Germany and on the different approaches to anti-discrimination, indirect discrimination law and structural discrimination, which underlie efforts to justify women’s quotas against equality standards derived from EC Law.

Restorative Justice and Sex Offending

This essay examines the origins and uses of restorative justice with sexual offending and the contemporary challenges and controversies surrounding this. It charts the range of ad hoc initiatives which have sought to apply a restorative form of intervention with violent or sexual offending from first time and ‘acquaintance’ rape as well as young sexual abusers to high risk sexual offenders in the form of circles of support and accountability. Such schemes are often presented as a counter to the failings of retributive forms of justice and are premised on Braithwaite’s (1989) notion of ‘reintegrative shaming’ that seek to reintegrate offenders into the community. Critics of restorative justice traditionally put forward a number of core objectives when restorative justice is applied to serious forms of offending such as sexual offending. The essay also sets out and seeks to counter these principal challenges and how they may be overcome. For the most part, however, restorative justice has failed to reach its potential as a fully fledged sentencing rationale in being applied as a mainstream response to a wide range of offending including that at the higher end of the spectrum. The essay also seeks to examine barriers to restorative justice within contemporary penal policy and to highlight some of the most controversial applications of the restorative paradigm including those related to clergy sexual abuse. It concludes by offering some thoughts on the future of restorative justice as a mainstream responses to serious forms of offending.