On two-distillable Werner states

We consider bipartite mixed states in a $d\otimes d$ quantum system. We say that $\rho$ is PPT if its partial transpose $1 \otimes T (\rho)$ is positive semidefinite, and otherwise $\rho$ is NPT. The well-known Werner states are divided into three types: (a) the separable states (the same as the PPT states); (b) the one-distillable states (necessarily NPT); and (c) the NPT states which are not one-distillable. We give several different formulations and provide further evidence for validity of the conjecture that the Werner states of type (c) are not two-distillable.Comment: 19 pages, expanded version containing new result

Low dimensional bound entanglement with one-way distillable cryptographic key

We provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is $4 \otimes 4$, which shows that peculiar security contained in bound entangled states does not need high dimensional systems. We show, that for these states a positive key rate can be obtained by {\it one-way} Devetak-Winter protocol. Subsequently the volume of bound entangled key-distillable states in arbitrary dimension is shown to be nonzero. We provide a scheme of verification of cryptographic quality of experimentally prepared state in terms of local observables. Proposed set of 7 collective settings is proven to be optimal in number of settings.Comment: 5 pages, ReVTex

How Do Undergraduate Mathematics Faculty Learn To Teach Online?

This study investigated the training that faculty receive to teach undergraduate mathematics courses online and the effectiveness of that training. An online survey was distributed to 64 faculty who taught undergraduate mathematics courses online. In responding to the survey, faculty supplied information about the duration, topics, and types of training they received both before and after beginning to teach online, about their use of best practices for online education, and about their attitudes toward online education. Subsequent to completion of the survey, four focus group interviews were conducted with a total of 14 of the survey respondents. During focus group interviews faculty described both the technical and pedagogical training they received to teach online, identified components critical to the success of online courses, and described the training that should be required before faculty begin to teach online. Results of the study demonstrate that most faculty do not receive adequate training to teach online. 23% of participants received no training before beginning to teach online. Participants received more technical training, particularly training to use course management systems, than pedagogical training. Only 20% of participants received training in active learning or fostering student collaborations online before they began to teach online and 29% of survey respondents received no pedagogical training of any type before beginning to teach online. Results of the study demonstrate that faculty should receive both technical and pedagogical training before beginning to teach online. Some portion of training to teach online should be delivered online so that faculty experience online learning from the student point of view. Training programs should also include a mentoring component so that faculty new to online teaching can benefit from the experience of their colleagues

Potential Effects of Teaching Strategies on Students’ Academic Performance under a Trump Administration

The purpose of this meta-analysis was to explore in detail the research by Hattie (2009) in order to then re-examine it through a new lens and better understand the research and possible bias. For this study, the unit of analysis were the studies used in Hattie (2009). The criteria for inclusion were based on strategies currently implemented in NYS public school systems. Specifically, Goals, Behavioral Organizer/Advances, Mastery Learning, Meta-Cognitive Strategies, Matching Style of Learning, Teaching Strategies, Reciprocal Strategies, Comprehensive Teaching, Co-Teaching/ Team Teaching, Problem-Solving Teaching for the purpose of Teacher Preparation. These variables were further examined to determine if they may be affected should a movement towards privatizing education in NYS take effect under a Trump administration. Effect sizes, standard error, common language effect and the number of studies were used in combination to construct a forest plot with weighted effect size. A scree plot was developed to illustrate the level of precision found in this data set and a funnel plot was used to determine both precision and the existence of potential bias. Discussion on these effective teaching strategies under a new administration is broadly discussed

Comparison of application container orchestration platforms

This article presents a comparative analysis of three well-known container orchestration platforms: Docker Swarm, Kubernetes and Apache Mesos, focusing on the deployment of a test application and measuring parameters such as deployment time, memory, CPU and disk utilization, application response time and the time to restore a replica of the application using an auto-recovery mechanism. The aim of the research is to verify the performance and efficiency of the analyzed platforms, facilitating informed decisions while choosing an orchestrator for containerized applications. Two research hypotheses have been stated. The first one assumes that the time required to launch an application using the Docker Swarm tool is the shortest among the analyzed platforms. The second hypothesis is that Kubernetes provides the most efficient results in terms of load scheduling and application scaling. The analysis performed on the Jenkins application showed the superiority of the Docker Swarm platform over the other studied tools in terms of performance

Use of the virtual slide and the dynamic real-time telepathology systems for a consultation and the frozen section intra-operative diagnosis in thoracic/pulmonary pathology.

We report the results of a study designed for assessment of the diagnostic accuracy and usability of internet-based digital microscopy: the dynamic real-time telepathology system (Coolscope) and the Virtual microscopy (Aperio Scan Scope) system, in the context of pulmonary pathology. The systems were implemented to the routine pulmonary pathology workflows and used for the intra-operative frozen-section primary diagnosis as well as for the secondary (consultative) diagnosis. The histological material presented for the teleconsultations included the samples of lung parenchyma, bronchial biopsy and resected lung/bronchi tumours. For the primary diagnosis 4 categories of material can be distinguished (304 samples): 1) the frozen sections of lung tumours, resected bronchial margins and lymph nodes; 2) fine needle aspiration [FNA] biopsies (TBNA; EBUS-TBNA, EUS-FNA; 3) oligobiopsies of bronchus, oesophagus, skin; and 4) exfoliative cytology. The telepathology diagnoses compared with conventional light microscopy diagnoses showed very high concordance for the Coolscope and Aperio Virtual Slide modality: 87.5% and 100%, respectively - within the group of teleconsultations. For the frozen sections, the primary telediagnoses were concordant with the light microscopy paraffin sections diagnoses in 100% for Aperio; and in 97.5% for Coolscope. An excellent agreement (100%) was seen in the telediagnoses and conventional slides diagnoses for FNA, oligobiopsies and cytology - for both telepathology systems. These results provide some encouragement for the implementation of Coolscope and virtual slide-based telepathology (Aperio) system to the routine histopathological diagnostics