Scaling of decoherence effects in quantum computers

The scaling of decoherence rates with qubit number N is studied for a simple model of a quantum computer in the situation where N is large. The two state qubits are localized around well-separated positions via trapping potentials and vibrational centre of mass motion of the qubits occurs. Coherent one and two qubit gating processes are controlled by external classical fields and facilitated by a cavity mode ancilla. Decoherence due to qubit coupling to a bath of spontaneous modes, cavity decay modes and to the vibrational modes is treated. A non-Markovian treatment of the short time behaviour of the fidelity is presented, and expressions for the characteristic decoherence time scales obtained for the case where the qubit/cavity mode ancilla is in a pure state and the baths are in thermal states. Specific results are given for the case where the cavity mode is in the vacuum state and gating processes are absent and the qubits are in (a) the Hadamard state (b) the GHZ state.

Learning difficulties in numeracy in Australia

In this article, we provide an understanding of the term numeracy as it is used in Australia and a description of numeracy education in this country. In particular, we discuss the role of outcomes-based curriculum frameworks and outline the dominant teaching approaches. The focus is on students with learning difficulties and how they are identified and supported in schools. We create two vignettes based on real students with difficulties in numeracy, which highlight two of the most common problems. We report on the prevalence of learning difficulties in numeracy in Australia and describe some of the initiatives related to the assessment and enhancement of learning in numeracy that are being undertaken in various states in Australia. Finally, we identify some of the future challenges facing the Australian education system in this area. These challenges relate to teacher knowledge, mandated assessment, and the role of parents. We conclude the article by calling for the evaluation of current assessment and intervention initiatives as well as the development of a national program to support the goal of numeracy for all students.

Adaptive phase measurements in linear optical quantum computation

Photon counting induces an effective non-linear optical phase shift in certain states derived by linear optics from single photons. Although this non-linearity is non-deterministic, it is sufficient in principle to allow scalable linear optics quantum computation (LOQC). The most obvious way to encode a qubit optically is as a superposition of the vacuum and a single photon in one mode-so-called 'single-rail' logic. Until now this approach was thought to be prohibitively expensive (in resources) compared to 'dual-rail' logic where a qubit is stored by a photon across two modes. Here we attack this problem with real-time feedback control, which can realize a quantum-limited phase measurement on a single mode, as has been recently demonstrated experimentally. We show that with this added measurement resource, the resource requirements for single-rail LOQC are not substantially different from those of dual-rail LOQC. In particular, with adaptive phase measurements an arbitrary qubit state a alpha/0 > + beta/1 > can be prepared deterministically.

Effects of aldosterone on forearm vasculature in treated chronic heart failure

The nongenomic effects of aldosterone in disease states associated with endothelial dysfunction may differ from those in healthy subjects. The effects of locally infused aldosterone on the forearm blood flow and volume were studied in optimally treated patients with chronic heart failure (CHF). At baseline and after incremental intrabrachial aldosterone, forearm blood flow was assessed using conventional strain gouge plethysmography, and forearm venous volume was assessed by radionuclide plethysmography. Constriction of the resistance vasculature of the forearm without significant effect on forearm venous capacitance was demonstrated in response to aldosterone in patients treated for CHF. (C) 2005 by Excerpta Medica Inc.

Inhibitors of cyclo-oxygenase-2 and secretory phospholipase A2 preserve bone architecture following ovariectomy in adult rats

Epidemiological evidence and in vitro data suggest that COX-2 is a key regulator of accelerated remodeling. Accelerated states of osteoblast and osteoclast activity are regulated by prostaglandins in vitro, but experimental evidence for specific roles of cyclooxygenase-2 (COX-2) and secretory phospholipase A(2) (sPLA(2)) in activated states of remodeling in vivo is lacking. The aim of this study was to determine the effect of specific inhibitors of sPLA(2)-IIa and COX-2 on bone remodeling activated by estrogen deficiency in adult female rats. One hundred and twenty-four adult female Wistar rats were ovariectomized (OVX) or sham-operated. Rats commenced treatment 14 days after surgery with either vehicle, a COX-2 inhibitor (DFU at 0.02 mg/kg/day and 2.0 mg/kg/day) or a sPLA(2)-group-IIa inhibitor (KH064 at 0.4 mg/kg/day and 4.0 mg/kg/day). Treatment continued daily until rats were sacrificed at 70 days or 98 days post-OVX. The right tibiae were harvested, fixed and embedded in methylmethacrylate for structural histomorphometric bone analysis at the proximal tibial metaphysis. The specific COX-2 or sPLA(2) inhibitors prevented ovariectomy-induced (OVX-induced) decreases in trabecular connectivity (P < 0.05); suppressed the acceleration of bone resorption; and maintained bone turnover at SHAM levels following OVX in the rat. The sPLA2 inhibitor significantly suppressed increases in osteoclast surface induced by OVX (P < 0.05), while the effect of COX-2 inhibition was less marked. These findings demonstrate that inhibitors of COX-2 and sPLA(2)-IIa can effectively suppress OVX-induced bone loss in the adult rat by conserving trabecular bone mass and architecture through reduced bone remodeling and decreased resorptive activity. Moreover, we report an important role of sPLA(2)-IIa in osteoclastogenesis that may be independent of the COX-2 metabolic pathway in the OVX rat in vivo. (c) 2006 Elsevier Inc. All rights reserved.

Pain relief for neonates in Australian hospitals: A need to improve evidence-based practice

Objective: To ascertain the extent to which neonatal analgesia was used in Australia for minor invasive procedures as an indicator of evidence-based practice in neonatology. Methods: A cross-sectional telephone survey of hospitals in all Australian states and territories with more than 200 deliveries per year was carried out. Questions were asked regarding awareness of the benefits and the use of analgesia for minor invasive procedures in term and near term neonates. Analysis was undertaken according to state and territory, annual birth numbers and the level of neonatal nursery care available. Results: Data were available from 212 of 214 eligible hospitals. Of the total respondents, 51% and 70% respectively were aware of the benefits of sucrose and breast-feeding for neonatal analgesia. Eleven per cent of units administered sucrose before venepuncture and 25% of units used breast-feeding. Ten per cent of units used sucrose before heel prick with 49% utilizing breast-feeding. Expressed breast milk was used in 10% of units. Analgesia was given less frequently before intravenous cannulation compared to venepuncture and heel prick. Awareness and implementation of neonatal analgesia varied widely in the states and territories. There was a trend for hospitals providing a higher level of neonatal care to have a greater awareness of sucrose as an analgesic (P < 0.0001) and the use of sucrose for venepuncture (P = 0.029), heel prick (P = 0.025) and intravenous catheter insertion (P = 0.013). Similar trends were found on analysis according to birth number of the maternity units. Smaller units had a greater usage of breast-feeding as an analgesic for heel prick (P = 0.017). Conclusion: Despite good evidence for the administration of sucrose and breast milk in providing effective analgesia for newborn infants, it is not widely used in Australia. It is imperative that the gap between research findings and clinical practice with regard to neonatal analgesia be addressed.

El Nino and arboviral disease prediction

Recent El Nino events have stimulated interest in the development of modeling techniques to forecast extremes of climate and related health events. Previous studies have documented associations between specific climate variables (particularly temperature and rainfall) and outbreaks of arboviral disease. In some countries, such diseases are sensitive to Fl Nino. Here we describe a climate-based model for the prediction of Ross River virus epidemics in Australia. From a literature search and data on case notifications, we determined in which years there were epidemics of Ross River virus in southern Australia between 1928 and 1998. Predictor variables were monthly Southern Oscillation index values for the year of an epidemic or lagged by 1 year. We found that in southeastern states, epidemic years were well predicted by monthly Southern Oscillation index values in January and September in the previous year. The model forecasts that there is a high probability of epidemic Ross River virus in the southern states of Australia in 1999. We conclude that epidemics of arboviral disease can, at least in principle, be predicted on the basis of climate relationships.

A framework for valuing derivative securities

This paper develops a general framework for valuing a wide range of derivative securities. Rather than focusing on the stochastic process of the underlying security and developing an instantaneously-riskless hedge portfolio, we focus on the terminal distribution of the underlying security. This enables the derivative security to be valued as the weighted sum of a number of component pieces. The component pieces are simply the different payoffs that the security generates in different states of the world, and they are weighted by the probability of the particular state of the world occurring. A full set of derivations is provided. To illustrate its use, the valuation framework is applied to plain-vanilla call and put options, as well as a range of derivatives including caps, floors, collars, supershares, and digital options.