Smallest disentangling state spaces for general entangled bipartite quantum states

Entangled quantum states can be given a separable decomposition if we relax the restriction that the local operators be quantum states. Motivated by the construction of classical simulations and local hidden variable models, we construct `smallest' local sets of operators that achieve this. In other words, given an arbitrary bipartite quantum state we construct convex sets of local operators that allow for a separable decomposition, but that cannot be made smaller while continuing to do so. We then consider two further variants of the problem where the local state spaces are required to contain the local quantum states, and obtain solutions for a variety of cases including a region of pure states around the maximally entangled state. The methods involve calculating certain forms of cross norm. Two of the variants of the problem have a strong relationship to theorems on ensemble decompositions of positive operators, and our results thereby give those theorems an added interpretation. The results generalise those obtained in our previous work on this topic [New J. Phys. 17, 093047 (2015)].

On Gruenhage spaces, separating σ-isolated families, and their relatives

We prove that, given a topological space X, the following conditions are equivalent. (α) X is a Gruenhage space. (β) X has a countable cover by sets of small local diameter (property SLD) by F∩G sets. (γ) X has a separating σ-isolated family M⊂F∩G. (δ) X has a one-to-one continuous map into a metric space which has a σ-isolated base of F∩G sets. Besides, we provide an example which shows Fragmentability ⇏ property SLD ⇏ the space to be Gruenhage.

Students' imaginings of spaces of learning in outdoor and environmental education

In this article, the author interrogates students’ stories about the spaces and places in a tertiary Outdoor and Environmental Education course that support and shape their environmental ethics. Drawing on a longitudinal qualitative study, she explore the ways in which particular sites of learning (outdoor, practical learning) are privileged and how particular stories of outdoor spaces get reproduced. The author employs the work of poststructuralist geography scholar Doreen Massey in her analysis to highlight the intersections between space, relations of power and identity. This analysis also underscores the simultaneity of multiple and conflicting stories around Outdoor Education’s outdoor (practical) and indoor (theoretical) learning spaces. The article concludes by drawing on Elizabeth Ellsworth’s work on anomalous places of learning to explore some of the spaces in-between the indoor/outdoor binary as a way of interrupting and re-imagining places and spaces of learning in Outdoor Education.

Locating learning: making connections between virtual and physical spaces with mobile touch-screen devices

This paper is concerned with the potential of mobile touch-screen devices and emerging socio-technological practices to support pedagogies of place that provide a means for young people to reflect critically on the social construction of place and to take actions that speak of and to their own locatedness. Drawing on de Certeau's (1984) concept of space as a practiced place and Massey's (2005) perspective of spatiality and interrelatedness, we examine two school-based examples of learning activities that bring together the virtual and physical as in experiences and representations of place. The first example is an Australian local history unit, where lower secondary school students participated in a series of field trips, planned and conducted under the guidance of an indigenous elder. They used Smartphones and iPads to capture and create personalised audio-visual records of their knowledge of place that were then used to create geo-location games. In the second example, upper primary school students worked with local authorities and environmental educators to select sites for two environmental monitoring posts, which were then installed and provided a locus for the students' school-based environmental science learning as well as a vehicle for community engagement. Drawing on interview, video and photographic data, this paper examines the way mobile technologies were deployed for student knowledge production, engagement with place, reconstruction of place and engagement with community.

Muslim citizenship in everyday Australian civic spaces

Questions about Muslims, multiculturalism and citizenship continue to shape the political discourse of many nations, including Australia, a nation often foregrounded as a beacon of multiculturalism in practice. The key assumption underlying these questions is that Islam constrains the full possibilities of citizenship in multicultural secular societies and that Muslims must be actively steered towards participation in civic life. By contrast, this article, based on research with 80 young Australian Muslims from migrant backgrounds reveals how Australian Muslims are enacting everyday citizenship through active, self-driven participation in multicultural civic spaces. This is a process overlooked by contemporary government approaches to the management of Muslim communities and alike. This article argues that is it access to these spaces of everyday interaction rather than an emphasis upon securitisation and civic literacy that fosters the development of citizenship and civic engagement central to the success of Australian multiculturalism. The article provides important considerations for those concerned with the future viability of multicultural policies.

Gestures of judgement and welcome in public spaces: hypervisible migrant newcomers in Darwin, Australia

This paper draws on ethnographic research to show how pigmentation intensities of skin and facial characteristics make bodies of colour recognisable in public spaces of Darwin, a small multiethnic and multiracial north Australian city. This paper shows that the visibility of newcomers, in particular, humanitarian migrants from countries in Africa, the Middle East and Asia, circulates negative sentiments of fear, anxiety and discomfort in public spaces when instantaneous judgements are made. These judgements of misrecognition made by residents of diverse ethnic and racial backgrounds lead to simmering tensions that unfold as visceral events of vulnerability in public spaces such as bus interchanges, neighbourhood streets, shopping centres and car parks. These events that have the potential to wound and numb bodies contribute to the “urban unconscious” of Darwin as a city where public spaces are safe with heightened surveillance. This paper argues, however, that events of hypervisibility, judgement and interracial tensions can unfold quite differently in public spaces if humanitarian migrants sense gestures of welcome, particularly from Aboriginals. Such fleeting moments of welcome in Darwin have the potential to bring together bodies with different histories and geographies of racialisation, so that multiple publics emerge through everyday habits of living with difference.

Design of learning spaces for engineering education

BACKGROUND OR CONTEXT: With the re-imagining of engineering education at Deakin University an opportunity was presented with the ability to design purpose built spaces. With this development a review of leading practice educational spaces was undertaken specifically in a product development unit as well as a materials unit. Whilst both areas have different needs there were some common elements with the location of teaching aids, apparatus and experimental set-up and collaborative teaching spaces.
PURPOSE OR GOAL: This study examined what would a best practice learning environment look like in two different disciplines and what is the connection and similarities in a problem based learning environment. A benchmarking study and literature review on best practice was undertaken; this learning space was intrinsically linked to the educational model. Aspects of the educational model have started to be implemented in this long term project
APPROACH: Student perceptions were measured primarily through standard unit feedback for both units as well as student comments on the units. Engagement of students was the primary focus of the redesign of purpose built spaces as well as curriculum review. By placing students into specifically designed spaces to enhance learning outcomes it is anticipated that the knowledge and skills attainment will be higher for all students.
DISCUSSION: The redevelopment of learning spaces has forced staff to think hard about their units and how space impacts on student educations. With both the materials and product development units, student had the ability to move through spaces depending on what they were doing. This ability to move is a combination of the educational model, the facilities and staff/student interaction.
RECOMMENDATIONS/IMPLICATIONS/CONCLUSION: While part of a long term redevelopment of facilities and curriculum, it has been found that when the facilities match the educational model student engagement is higher. This has been support in both the literature and observation through student and staff evaluations of the unit. It is expected that as students adapt to the new educational model further they will make greater use of the purpose built facilities.

Animals and urban informality in sacred spaces: bull-calf trafficking in Simhachalam Temple, Vishakapatnam

Religion and Urbanism contributes to an expanded understanding of 'sustainable cities' in South Asia by demonstrating the multiple, and often conflicting ways in which religion enables or challenges socially equitable and ecologically sustainable urbanisation in the region. In particular, this collection focuses on two aspects that must inform the sustainable cities discourse in South Asia: the intersections of religion and urban heritage, and religion and various aspects of informality.

This book makes a much-needed contribution to the nexus between religion and urban planning for researchers, postgraduate students and policy makers in Sustainable Development, Development Studies, Urban Studies, Religious Studies, Asian Studies, Heritage Studies and Urban and Religious Geography.

The emotional knots of academicity: a collective biography of academic subjectivities and spaces

The highly imagined and contested space of higher education is invested with an affectively loaded ‘knowledge economy optimism’. Drawing on recent work in affect and critical geography, this paper considers the e/affects of the promises of the knowledge economy on its knowledge workers. We extend previous analyses of the discursive constitution of academic subjectivity through the figuration of ‘emotional knots’ as we explore three stories of the constitution of academic subjectivities in institutional spaces. These stories were composed in a collective biography workshop, where participants constructed accounts of the physical, social, material and imaginative dimensions of subjectivities in the ‘academic-city’ of higher education spaces. Identifying moments of ‘perturbation’ in these stories, this paper considers the micro-contexts of ‘becoming academic’: how bodies, affects and relations become knotted in precise times and places. The figuration of ‘knots’ provides an analytical strategy for unravelling how subjects affectively invest in the promises of spaces saturated with knowledge economy discourses, and moments of impasse where these promises ring hollow. We examine the affective bargains made in order to flourish in the corporate university and identify spaces of possibility where optimistic projections of alternative futures might be formed. These stories and their analysis complicate the metanarrative of ‘knowledge economy optimism’ that is currently driving higher education reform in Australia.

Social and physical environmental factors influencing adolescents' physical activity in urban public open spaces: a qualitative study using walk-along interviews

Most previous studies examining physical activity in Public Open Spaces (POS) focused solely on the physical environment. However, according to socio-ecological models the social environment is important as well. The aim of this study was to determine which social and physical environmental factors affect adolescents' visitation and physical activity in POS in low-income neighbourhoods. Since current knowledge on this topic is limited, especially in Europe, qualitative walk-along interviews were used to obtain detailed and context-specific information. Participants (n = 30, aged 12-16 years, 64% boys) were recruited in POS in low-income neighbourhoods in Brussels, Ghent and Antwerp (Belgium). Participants were interviewed while walking in the POS with the interviewer. Using this method, the interviewer could observe and ask questions while the participant was actually experiencing the environment. All audio-recorded interviews were transcribed and analysed using Nvivo 10 software and thematic analysis was used to derive categories and subcategories using a grounded theory approach. The most important subcategories that were supportive of visiting POS and performing physical activity in POS were; accessibility by foot/bicycle/public transport, located close to home/school, presence of (active) friends and family, cleanliness of the POS and features, availability of sport and play facilities, large open spaces and beautiful sceneries. The most important subcategories that were unsupportive of visiting POS and physical activity in POS were; presence of undesirable users (drug users, gangs and homeless people), the behaviour of other users and the cleanliness of the POS and features. Social factors appeared often more influential than physical factors, however, it was the combination of social and physical factors that affected adolescents' behaviour in POS. Easily accessible POS with high quality features in the proximity of adolescents' home or school may stimulate physical activity, if adolescents also experience a safe and familiar social environment.

Technology use and teenagers diagnosed with high-functioning Autism: in and across differentiated spaces

This chapter investigates how social uses of technology situated within specific differentiated spaces enable youth diagnosed with Autism Spectrum Disorder (ASD) to counter pre-conceived notions of autism as a form of limitation. In particular, we explore the richly layered, complex and creative lives that are enacted by young people who attend The Lab, an Australian-based technology club for youth diagnosed with High Functioning Autism (HFA) or Asperger’s Syndrome (AS).

Reverberation and the parodic: an invitation to the spaces of sound

Jacques Rancière in The Politics of Aesthetics speaks of artistic practices ‘as ways of ‘doing and making’ that intervene in the general distribution of ways of doing and making’ (2013: 8). ‘Reverberation’ in the various dimensions explored by this paper is the compelling and parodic force, which signals the transformative potential of the spaces of music, word and sound collaborations. This paper will present the mixed impulse of parody as repetition with difference in Deleuze’s sense, or ironic ‘trans-contextualisation’ (Hutcheon 2000: 32), contextualised by Foucault’s heterotopic thought, Steve Reich’s minimalist music, and Brian Eno’s recognition of ambient sound in 1975 (Howard 2004: 91). Also explored is Hutcheon’s investigation of the etymology of parody as ‘counter-song’, which suggests intimacy and accord. The latter understanding of parody will be of particular importance in a discussion of New York-based band, The National.

Commemorating migrant camps: vernacular memories in official spaces

Bonegilla, Australia's largest post-war migrant processing and reception centre, re-emerged in the public sphere from the late 1980s. A reunion festival was staged on the grounds of the former centre in 1987. Widely attended by former residents, it was considered a success by its organisers, a grass-roots committee of former residents. Another reunion was held ten years later, this time by a committee led by local council members. Both these reunions are important moments in the formation of Bonegilla's public history and its orientation to a narrative of progress and Australian multiculturalism. Analysing them highlights wider changes in heritage discourses and management, and in the evolution of multiculturalism in Australia. Many recent studies of public commemorations in Australia have argued that vernacular or participatory commemorations can be, and almost inevitably are, overtaken and dominated by state-sanctioned narratives. In this article, I will focus on these two reunions in order to argue that despite the progressive dominance of official or institutional powers over Bonegilla's public history, participants’ voices endure within or alongside official frameworks. Despite the obvious differences between the 1987 and 1997 reunions, collective and individual recollections from ex-residents and their families creatively operate within established and seemingly official narrative frameworks. These are not restrictive, nor do they silence alternative articulations. Some ex-residents actively draw on the narrative frameworks available to them to attribute new significance to their experiences, whether melancholy or fond, and consequently include alternative stories that add further to Bonegilla's public multi-vocality.

WEAK ISOMETRIES OF HAMMING SPACES

In this thesis we study weak isometries of Hamming spaces. These are permutations of a Hamming space that preserve some but not necessarily all distances. We wish to find conditions under which a weak isometry is in fact an isometry. This type of problem was first posed by Beckman and Quarles for Rn. In chapter 2 we give definitions pertinent to our research. The 3rd chapter focuses on some known results in this area with special emphasis on papers by V. Krasin as well as S. De Winter and M. Korb who solved this problem for the Boolean cube, that is, the binary Hamming space. We attempted to generalize some of their methods to the non-boolean case. The 4th chapter has our new results and is split into two major contributions. Our first contribution shows if n=p or p < n2, then every weak isometry of Hnq that preserves distance p is an isometry. Our second contribution gives a possible method to check if a weak isometry is an isometry using linear algebra and graph theory.

Resistance performances: (Re)constructing spaces of resistance and contention in the 2010-2011 University of Puerto Rico student movement

On the night of April 20, 2010, a group of students from the University of Puerto Rico (UPR), Río Piedras campus, met to organize an indefinite strike that quickly broadened into a defense of accessible public higher education of excellence as a fundamental right and not a privilege. Although the history of student activism in the UPR can be traced back to the early 1900s, the 2010-2011 strike will be remembered for the student activists’ use of new media technologies as resources that rapidly prompted and aided the numerous protests. ^ This activist research entailed a critical ethnography and a critical discourse analysis (CDA) of traditional and alternative media coverage and treatment during the 2010 -2011 UPR student strike. I examined the use of the 2010-2011 UPR student activists’ resistance performances in constructing local, corporeal, and virtual spaces of resistance and contention during their movement. In particular, I analyzed the different tactics and strategies of resistance or repertoire of collective actions that student activists used (e.g. new media technologies) to frame their collective identities via alternative news media’s (re)presentation of the strike, while juxtaposing the university administration’s counter-resistance performances in counter-framing the student activists’ collective identity via traditional news media representations of the strike. I illustrated how both traditional and alternative media (re)presentations of student activism developed, maintained, and/or modified students activists’ collective identities. ^ As such, the UPR student activism’s success should not be measured by the sum of demands granted, but by the sense of community achieved and the establishment of networks that continue to create resistance and change. These networks add to the debate surrounding Internet activism and its impact on student activism. Ultimately, the results of this study highlight the important role student movements have had in challenging different types of government policies and raising awareness of the importance of an accessible public higher education of excellence.^