Practicality of time-optimal two-qubit Hamiltonian simulation

What is the time-optimal way of using a set of control Hamiltonians to obtain a desired interaction? Vidal, Hammerer, and Cirac [Phys. Rev. Lett. 88, 237902 (2002)] have obtained a set of powerful results characterizing the time-optimal simulation of a two-qubit quantum gate using a fixed interaction Hamiltonian and fast local control over the individual qubits. How practically useful are these results? We prove that there are two-qubit Hamiltonians such that time-optimal simulation requires infinitely many steps of evolution, each infinitesimally small, and thus is physically impractical. A procedure is given to determine which two-qubit Hamiltonians have this property, and we show that almost all Hamiltonians do. Finally, we determine some bounds on the penalty that must be paid in the simulation time if the number of steps is fixed at a finite number, and show that the cost in simulation time is not too great.

The prediction and representation of phase equilibria and physicochemical properties in complex slag systems

The development of new experimental techniques for the determination of phase equilibria in complex slag systems, chemical thermodynamic, and viscosity models is reported. The new experimental data, and new thermodynamic and viscosity models, have been combined in a custom-designed computer software package to produce limiting operability diagrams for slag systems. These diagrams are used to describe phase equilibria and physicochemical properties in complex slag systems. The approach is illustrated with calculations on the system FeO-Fe2O3-CaO-SiO-Al2O3 at metallic iron saturation, slags produced in coal slagging gasifiers, and in the reprocessing of nonferrous smelting slags. This article was presented at the Mills Symposium Molten Metals, Slags and Glasses-Characterisation of Properties and Phenomena held in London in August 2000.

The representation of majorities and minorities in the British press: A content analytic approach

A content analysis examined the way majorities and minorities are represented in the British press. An analysis of the headlines of five British newspapers, over a period of five years, revealed that the words 'majority' and 'minority' appeared 658 times. Majority headlines were most frequent (66%), more likely to emphasize the numerical size of the majority, to link majority status with political groups, to be described with positive evaluations, and to cover political issues. By contrast, minority headlines were less frequent (34%), more likely to link minority status with ethnic groups and to other social issues, and less likely to be described with positive evaluations. The implications of examining how real-life majorities and minorities are represented for our understanding of experimental research are discussed. Copyright (C) 2004 John Wiley Sons, Ltd.

Toddler subtraction with large sets: further evidence for an analog-magnitude representation of number

Two experiments were conducted to test the hypothesis that toddlers have access to an analog-magnitude number representation that supports numerical reasoning about relatively large numbers. Three-year-olds were presented with subtraction problems in which initial set size and proportions subtracted were systematically varied. Two sets of cookies were presented and then covered The experimenter visibly subtracted cookies from the hidden sets, and the children were asked to choose which of the resulting sets had more. In Experiment 1, performance was above chance when high proportions of objects (3 versus 6) were subtracted from large sets (of 9) and for the subset of older participants (older than 3 years, 5 months; n = 15), performance was also above chance when high proportions (10 versus 20) were subtracted from the very large sets (of 30). In Experiment 2, which was conducted exclusively with older 3-year-olds and incorporated an important methodological control, the pattern of results for the subtraction tasks was replicated In both experiments, success on the tasks was not related to counting ability. The results of these experiments support the hypothesis that young children have access to an analog-magnitude system for representing large approximate quantities, as performance on these subtraction tasks showed a Webers Law signature, and was independent of conventional number knowledge.

Dysprosodic speech following basal ganglia insult: Toward a conceptual framework for the study of cerebral representation of prosody

Progress in understanding brain/behavior relationships in adult-acquired dysprosody has led to models of cortical hemispheric representation of prosodic processing based on functional (linguistic vs affective) or physical (timing vs pitch) parameters. These explanatory perspectives have not been reconciled, and also a number of neurobehavior syndromes that include dysprosody among their neurological signs have not yet been integrated. In addition to expanding the functional perspective on prosody, some of these syndromes have implicated a significant role of subcortical nuclei in prosodic competence. In this article, two patients with acquired dysprosodic speech following damage to basal ganglia nuclei were evaluated using behavioral, acoustic, cognitive, and radiographic approaches. Selective quantitative measures were performed on each individual’s performance to provide detailed verification and clarification of clinical observations, and to test hypotheses regarding prosodic function. These studies, combined with a review of related clinical research findings, exemplify the value of a broader perspective on the neurobehavioral dysfunction underlying acquired adult dysprosodic speech, and lead to a new, proposed conceptual framework for the cerebral representation of prosody.

Locating whiteness in the academic production of "I Philosophy" in and of time and place

This review will critically evaluate two recent texts by white academics working across disciplines of cultural studies, history and anthropology and published by UNSW Press, which share a focus on the relationship between Aboriginality, Philosophy, Place and Time in Australia. I write from the position of a queer white academic committed to engaging politically and intellectually with the challenge of Indigenous sovereignties in this place while also aware that my position as a middle class white woman and intellectual imposes limits on what it is possible for me to know about Indigenous epistemologies (see Moreton-Robinson, 2000). In the course of this review I will demonstrate how anthropology's tendency to fix its objects of study within a circumscribed space of 'difference' limits the capacity of texts produced within this discipline to account for racialized struggles over sovereignty. While these struggles are equally embedded in the ethnographic context and the nation's constitution and political institutions, we will see that Muecke and Bird Rose confront problems in analysing the relationship between the intimate space of the 'field', in which one's research subjects quickly become one's 'friends' and/or 'classificatory kin'—on one hand—and the public space of the nation within which statements about Aboriginality by white academics circulate and are vested with an authority that escapes individual intentions and control—on the other.

Levinasian ethics and the representation of the other in international and cross-cultural management

In this paper, we seek to further the discussion, problematization and critique of west/east identity relations in ICM studies by considering the ethics of the relationship – an issue never far beneath the surface in discussions of Orientalism. In particular we seek to both examine and question the ethics of representation in relation to a critique of what has come to be known as international and cross-cultural management (ICM). To pursue such a discussion, we draw specifically on the ethical elaborations of Emmanuel Levinas as well as his chief interlocutors Jacques Derrida and Zygmunt Bauman. The value of this discussion, we propose, is that Levinas offers a philosophy that holds as its central concept the relationship between the self and Other as the primary ethical and pre-ontological relation. Levinas’ philosophy provides a means of extending the post-colonial critique of ICM, and ICM provides a context in which the Levinasian ethics can be brought to bear on a significant issue on contemporary business and management.