Edge local complementation for logical cluster states

A method is presented for the implementation of edge local complementation in graph states, based on the application of two Hadamard operations and a single controlled-phase (CZ) gate. As an application, we demonstrate an efficient scheme to construct a one-dimensional logical cluster state based on the five-qubit quantum error-correcting code, using a sequence of edge local complementations. A single physical CZ operation, together with local operations, is sufficient to create a logical CZ operation between two logical qubits. The same construction can be used to generate any encoded graph state. This approach in concatenation may allow one to create a hierarchical quantum network for quantum information tasks.Comment: 15 pages, two figures, IOP styl

Teaching Threshold Concepts in Virtual Reality: Exploring the Conceptual Requirements for Systems Design.

In a complex world students need to be equipping with a range of capabilities that will enable them to be critical and flexible learners and citizens. The central research objective in this paper is to explore the argument that virtual reality (VR) technologies, collaborative learning approaches and recognition of the values and importance of thresholds to learning are components that can equip students in and for the future. Threshold concepts are specific concepts which are identified as essential in the acquisition of thinking, learning and communication of understanding within a specific subject of learning. Threshold experiences occur when learners identify moments of “learning leaps” which are cognitive transformations or changes in conceptual role for the learner, enabling them to work at higher levels of abstraction and creativity. Virtual reality technology is increasingly applied in education and can be used to test multiple threshold concepts and applied to open problems that allow for low-stress and real-time interactions as well as supporting collaborative groups with rapid interactions. Applications built on VR can engage, immerse, and guide learners in ways not yet undertaken in the education of threshold concepts. Through literature review we explore the definitions of threshold concepts, VR technologies, and the opportunities for teaching threshold concepts using VR technologies. We additionally predict possible limitations of the technologies. Further, we propose a systems design approach as informed by our literature review

Graph states in phase space

The phase space for a system of $n$ qubits is a discrete grid of $2^{n} \times 2^{n}$ points, whose axes are labeled in terms of the elements of the finite field \Gal{2^n} to endow it with proper geometrical properties. We analyze the representation of graph states in that phase space, showing that these states can be identified with a class of non-singular curves. We provide an algebraic representation of the most relevant quantum operations acting on these states and discuss the advantages of this approach.Comment: 14 pages. 2 figures. Published in Journal of Physics

Prevalence and severity of freezing of gait in a Danish cohort of people with Parkinsonʼs disease

\ua9 2023, Almindelige Danske Laegeforening. All rights reserved.INTRODUCTION. Parkinson’s disease (PD) is a widespread neurodegenerative disorder characterised by wide range of symptoms. Freezing of gait (FoG), a transient feeling that the patient’s feet are nailed to the floor, resulting in an inability to move, is a particularly distressful symptom. The assessment of FoG can be challenging. Often, clinicians are reliant on patients’ subjective experiences and patient questionnaires such as the Freezing of Gait Questionnaire (FOGQ) and its updated version, the New FOGQ (NFOGQ).Until now, the NFOGQ has not been validated and piloted for use in Danish. Therefore, few attempts have been made to assess the prevalence and severity of FoG in Danish patients with PD. METHODS. This report describes a two-step process of adapting the NFOGQ into Danish and piloting its use among a cohort of patients with PD. A satisfactory translation (Danish NFOGQ) was produced and successfully piloted. RESULTS. The translation showed robust test-retest reliability after two weeks. Patients fully understood the questionnaire. Using the Danish NFOGQ in an online prevalence survey, we found that 35.7% of respondents had experienced FoG and that the prevalence correlated with disease duration. CONCLUSION. The Danish NFOGQ appears to be appropriate for assessing FoG in Danish patients with PD in both clinical and research settings

Does the Supreme Court Follow the Economic Returns? A Response to A Macrotheory of the Court

Today, there is a widespread idea that parents need to learn how to carry out their roles as parents. Practices of parental learning operate throughout society. This article deals with one particular practice of parental learning, namely nanny TV, and the way in which ideal parents are constructed through such programmes. The point of departure is SOS family, a series broadcast on Swedish television in 2008. Proceeding from the theorising of governmentality developed in the wake of the work of Michel Foucault, we analyse the parental ideals conveyed in the series, as an example of the way parents are constituted as subjects in the ‘advanced liberal society’ of today. The ideal parent is a subject who, guided by the coach, is constantly endeavouring to achieve a makeover. The objective of this endeavour, however, is self-control, whereby the parents will in the end become their own coaches.