Atiyah-Manton construction of Skyrmions in eight dimensions

We show that the eight-dimensional instanton solution, which satisfies the self-duality equation $F \wedge F = *_8 F \wedge F$, realizes the static Skyrmion configuration in eight dimensions through the Atiyah-Manton construction. The relevant energy functional of the Skyrme field is obtained by the formalism developed by Sutcliffe. By comparing the Skyrmion olution associated with the extreme of the energy, with the Atiyah-Manton solution constructed by the instantons, we find that they agree with high accuracy. This is a higher-dimensional analogue of the Atiyah-Manton construction of Skyrmions in four dimensions. Our result indicates that the instanton/Skyrmion correspondence seems to be an universal property in $4k \ (k=1, 2, \ldots)$ dimensions.Comment: 23 pages, 5 figures, published versio

Crystal growth control of rod-shaped ε-Fe2O3 nanocrystals

journal articl

Hardness of Braided Quantum Circuit Optimization in the Surface Code

Large-scale quantum information processing requires the use of quantum error-correcting codes to mitigate the effects of noise in quantum devices. Topological error-correcting codes, such as surface codes, are promising candidates, as they can be implemented using only local interactions in a 2-D array of physical qubits. Procedures, such as defect braiding and lattice surgery, can then be used to realize a fault-tolerant universal set of gates on the logical space of such topological codes. However, error correction also introduces a significant overhead in computation time, the number of physical qubits, and the number of physical gates. While optimizing fault-tolerant circuits to minimize this overhead is critical, the computational complexity of such optimization problems remains unknown. This ambiguity leaves room for doubt surrounding the most effective methods for compiling fault-tolerant circuits for a large-scale quantum computer. In this article, we show that the optimization of a special subset of braided quantum circuits is NP-hard by a polynomial-time reduction of the optimization problem into a specific problem called PlanarRectilinear3SAT.journal articl

Hardness of braided quantum circuit optimization in the surface code

Large-scale quantum information processing requires the use of quantum error correcting codes to mitigate the effects of noise in quantum devices. Topological error-correcting codes, such as surface codes, are promising candidates as they can be implemented using only local interactions in a two-dimensional array of physical qubits. Procedures such as defect braiding and lattice surgery can then be used to realize a fault-tolerant universal set of gates on the logical space of such topological codes. However, error correction also introduces a significant overhead in computation time, the number of physical qubits, and the number of physical gates. While optimizing fault-tolerant circuits to minimize this overhead is critical, the computational complexity of such optimization problems remains unknown. This ambiguity leaves room for doubt surrounding the most effective methods for compiling fault-tolerant circuits for a large-scale quantum computer. In this paper, we show that the optimization of a special subset of braided quantum circuits is NP-hard by a polynomial-time reduction of the optimization problem into a specific problem called Planar Rectilinear 3SAT.Comment: 9 pages, 9 figure

Phylogenetic origin of dioecious Callicarpa (Lamiaceae) species endemic to the Ogasawara Islands revealed by chloroplast and nuclear whole genome analyses

Oceanic islands offer excellent opportunities to study the ecology, evolutionary biology, and biogeography of plants. To uncover the genetic basis of various evolutionary trends commonly observed on these islands, the origins and phylogenetic relationships of the species being studied should be understood. Callicarpa glabra, Callicarpa parvifolia, and Callicarpa subpubescens are evergreen woody plants endemic to the Ogasawara Islands, which are remote oceanic islands located off of the Japanese Archipelago. These species are ideal for studying evolutionary changes on oceanic islands because of their adaptive radiation and shift toward dioecious sex expression. We used a phylogenomic perspective to determine the evolutionary relationship of the three species within the genus and infer their colonization time. Based on the analysis of both chloroplast genomes and 86 nuclear single-copy genes, we found that these three species were monophyletic and embedded in a backbone clade that included multiple East Asian species. The phylogenetic tree based on over 10, 000 nuclear genes placed the insular species in the East Asian clade, although the topology did not entirely correspond to the chloroplast tree, probably because of incomplete lineage sorting and interspecific hybridization. The three endemic species were estimated to have diverged from continental species approximately three million years ago (Mya). The results of this study suggested that the ancestor of the Ogasawara endemic species originated from long-distance dispersal from East Asia mainland in the late Pliocene, and then progressively speciated within the islands

Up-Titration Strategy After DPP-4 Inhibitor-Based Oral Therapy for Type 2 Diabetes : A Randomized Controlled Trial Shifting to a Single-Dose GLP-1 Enhancer Versus Adding a Variable Basal Insulin Algorithm

Introduction: It is unclear whether adding basal insulin or enhancing incretin signaling with a glucagon-like peptide-1 receptor agonist (GLP-1RA) is more effective as an up-titration strategy after dipeptidyl peptidase-4 inhibitor (DPP-4i)-based oral antidiabetic drug (OAD) therapy. GLP-1RAs can be injected without dose adjustment, unlike basal insulin. Our objective was to examine the efficacy of changing patients inadequately controlled with oral DPP-4i-based OAD therapy to injectable GLP-1RA and discontinuing the DPP4i versus adding basal insulin glargine (IGlar) with the continuation of the oral DPP4i. Methods: Sixty patients with type 2 diabetes (T2DM) and glycated hemoglobin (HbA1c) between 7.0% and 10.0% on DPP-4i-based OAD therapy were randomized to either adding IGlar and remaining on the DPP-4i or liraglutide and discontinuing the DPP-4i for 24 weeks. Patients in the IGlar group started with 0.1 unit/kg and were titrated according to the algorithm. In the liraglutide group, the DPP-4i was replaced with liraglutide 0.9 mg/day, the maximum dose in Japan. We evaluated HbA1c, glycated albumin (GA), and anthropometrics. Results: HbA1c was significantly lower at week 24 (− 1.0 ± 0.9% in the IGlar group and − 0.6 ± 0.8% in the liraglutide group), but the difference between groups was not significant. Changes in GA were similar (− 2.9 ± 3.2% vs. − 2.6 ± 3.2%) in both groups. Body weight (BW) was significantly lower only in the liraglutide group (+ 0.5 ± 2.6 kg vs. − 2.2 ± 2.0 kg). The rate of minor hypoglycemic episodes was similar for both groups. Conclusion: For poorly controlled T2DM on DPP-4i-based OAD therapy, switching to single-dose liraglutide to enhance incretin signaling is as effective as dose-titrated basal IGlar, but significant BW reduction was only seen in the liraglutide group. These results suggest that enhancing incretin signaling with a single-dose injectable GLP-1 RA might be an alternative to dose-titrated basal insulin therapy in patients with T2DM poorly controlled with DPP-4i-based OAD therapy. These findings should be confirmed in a longer and larger trial

Virtual Human Generative Model: Masked Modeling Approach for Learning Human Characteristics

Identifying the relationship between healthcare attributes, lifestyles, and personality is vital for understanding and improving physical and mental conditions. Machine learning approaches are promising for modeling their relationships and offering actionable suggestions. In this paper, we propose Virtual Human Generative Model (VHGM), a machine learning model for estimating attributes about healthcare, lifestyles, and personalities. VHGM is a deep generative model trained with masked modeling to learn the joint distribution of attributes conditioned on known ones. Using heterogeneous tabular datasets, VHGM learns more than 1,800 attributes efficiently. We numerically evaluate the performance of VHGM and its training techniques. As a proof-of-concept of VHGM, we present several applications demonstrating user scenarios, such as virtual measurements of healthcare attributes and hypothesis verifications of lifestyles.Comment: 14 pages, 4 figure

Feasibility of Intraspecific Mix Cropping in Japan-Trials with Soybean Lines in Kawatabi Field Center

Young Researchers Sessio

Mix Cropping Trial of Determinate and Indeterminate Soybean Lines in Kawatabi Field Science Center

Poster Session