Jonathan D. H. Smith
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View article: Faithful novel machine learning for predicting quantum properties
Faithful novel machine learning for predicting quantum properties Open
Machine learning (ML) has accelerated the process of materials classification, particularly with crystal graph neural network (CGNN) architectures. However, advanced deep networks have hitherto proved challenging to build and train for qua…
View article: Entropy Maximization, Time Emergence, and Phase Transition
Entropy Maximization, Time Emergence, and Phase Transition Open
We survey developments in the use of entropy maximization for applying the Gibbs Canonical Ensemble to finite situations. Biological insights are invoked along with physical considerations. In the game-theoretic approach to entropy maximiz…
View article: Quantum geometry embedded in unitarity of evolution: Revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands
Quantum geometry embedded in unitarity of evolution: Revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands Open
Quantum Hall effects provide intuitive ways of revealing the topology in crystals, i.e., each quantized “step” represents a distinct topological state. Here, we seek a counterpart for “visualizing” quantum geometry, which is a broader conc…
View article: Accurate machine-learning predictions of coercivity in high-performance permanent magnets
Accurate machine-learning predictions of coercivity in high-performance permanent magnets Open
Increased demand for high-performance permanent magnets in the electric vehicle and wind-turbine industries has prompted the search for cost-effective alternatives. Discovering magnetic materials with the desired intrinsic and extrinsic pe…
View article: Quantum geometry embedded in unitarity of evolution: revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands
Quantum geometry embedded in unitarity of evolution: revealing its impacts as geometric oscillation and dephasing in spin resonance and crystal bands Open
Quantum Hall effects provide intuitive ways of revealing the topology in crystals, i.e., each quantized "step" represents a distinct topological state. Here, we seek a counterpart for "visualizing" quantum geometry, which is a broader conc…
View article: Bilayer ion trap design for 2D arrays
Bilayer ion trap design for 2D arrays Open
Junctions are fundamental elements that support qubit locomotion in two-dimensional ion trap arrays and enhance connectivity in emerging trapped-ion quantum computers. In surface ion traps they have typically been implemented by shaping ra…
View article: Quantum Liouville theorem based on Haar measure
Quantum Liouville theorem based on Haar measure Open
Liouville theorem (L theorem) reveals robust incompressibility of the distribution function in phase space, given arbitrary potentials. However, its quantum generalization, Wigner flow, is compressible, i.e., L theorem is only conditionall…
View article: Accurate Machine Learning Predictions of Coercivity in High-Performance Permanent Magnets
Accurate Machine Learning Predictions of Coercivity in High-Performance Permanent Magnets Open
Increased demand for high-performance permanent magnets in the electric vehicle and wind turbine industries has prompted the search for cost-effective alternatives.Discovering new magnetic materials with the desired intrinsic and extrinsic…
View article: From affine to barycentric coordinates in polytopes
From affine to barycentric coordinates in polytopes Open
Each point of a simplex is expressed as a unique convex combination of the vertices. The coefficients in the combination are the barycentric coordinates of the point. For each point in a general convex polytope, there may be multiple repre…
View article: Octonions as Clifford-like algebras
Octonions as Clifford-like algebras Open
The associative Cayley-Dickson algebras over the field of real numbers are also Clifford algebras. The alternative but nonassociative real Cayley-Dickson algebras, notably the octonions and split octonions, share with Clifford algebras an …
View article: Bilayer Ion Trap Design for 2D Arrays
Bilayer Ion Trap Design for 2D Arrays Open
Junctions are fundamental elements that support qubit locomotion in two-dimensional ion trap arrays and enhance connectivity in emerging trapped-ion quantum computers. In surface ion traps they have typically been implemented by shaping ra…
View article: Barycentric algebra and convex polygon coordinates
Barycentric algebra and convex polygon coordinates Open
Barycentric coordinates provide solutions to the problem of expressing an element of a compact convex set as a convex combination of a finite number of extreme points of the set. Various approaches to this problem have arisen, in various c…
View article: Phase transition and time emergence in a statistical model of species competition
Phase transition and time emergence in a statistical model of species competition Open
In this paper, we expand the application of Gibb’s canonical ensemble to ecological modeling. Hitherto, the ensemble has been used to model species that are competing for resources in an environment with a fixed carrying capacity. Within t…
View article: Autonomous Passage Planning for a Polar Vessel
Autonomous Passage Planning for a Polar Vessel Open
We introduce a method for long-distance maritime route planning in polar regions, taking into account complex changing environmental conditions. The method allows the construction of optimised routes, describing the three main stages of th…
View article: Geometric pumping and dephasing at topological phase transition
Geometric pumping and dephasing at topological phase transition Open
A measure-preserving formalism (MPF) is constructed and applied to spin/band models, which yield observations about pumping. It occurs at the topological phase transition, i.e., a Z2 flip, suggesting that Z2 can imply bulk effects. The mod…
View article: Okubo quasigroups
Okubo quasigroups Open
Paige loops, simple non-associative Moufang loops, were constructed by Paige as quotients of the set of Zorn vector-matrices of unit norm under split octonion multiplication. In this paper, we show that the same quotient set sustains two r…
View article: Ytterbium ion trap quantum computing: The current state-of-the-art
Ytterbium ion trap quantum computing: The current state-of-the-art Open
In this work, we present an overview of contemporary quantum computing with ytterbium ion traps, placing the emphasis on industry implementations. We provide brief, concrete descriptions of various key features, such as trap loading, elect…
View article: Identifying functional genes and pathways towards a unifying model for atrial fibrillation
Identifying functional genes and pathways towards a unifying model for atrial fibrillation Open
Rationale Genome wide association studies (GWAS) have associated >100 genetic loci with atrial fibrillation (AF), yet the biological pathways of AF remain elusive. Objective To determine candidate causal genes associated with AF risk loci …
View article: QuakeMigrate v1.0.0
QuakeMigrate v1.0.0 Open
QuakeMigrate 1.0.0 Release Notes QuakeMigrate 1.0.0 is the culmination of almost 18 months of hard work, and is the first major, stable release of the package. The codebase has been largely re-written, delivering dramatic improvements in r…
View article: On the enumeration and asymptotic growth of free quasigroup words
On the enumeration and asymptotic growth of free quasigroup words Open
This paper counts the number of reduced quasigroup words of a particular length in a certain number of generators. Taking account of the relationship with the Catalan numbers, counting words in a free magma, we introduce the term peri-Cata…
View article: Fine-mapping, novel loci identification, and SNP association transferability in a genome-wide association study of QRS duration in African Americans
Fine-mapping, novel loci identification, and SNP association transferability in a genome-wide association study of QRS duration in African Americans Open
The electrocardiographic QRS duration, a measure of ventricular depolarization and conduction, is associated with cardiovascular mortality. While single nucleotide polymorphisms (SNPs) associated with QRS duration have been identified at 2…
View article: Quasigroup words and reversible automata
Quasigroup words and reversible automata Open
This paper examines two related topics: the linearization of the reversible automata of Gvaramiya and Plotkin, and the problem of finding a faithful representation of the words in a central quasigroup that respects the triality symmetry of…
View article: Zero Launch Mass Three-Dimensional Print Head
Zero Launch Mass Three-Dimensional Print Head Open
NASA's strategic goal is to put humans on Mars in the 2030's. The NASA Human Spaceflight Architecture Team (HAT) and NASA Mars Design Reference Architecture (DRA) 5.0 has determined that in-situ resource utilization (ISRU) is an essential …
View article: Keimel’s problem on the algebraic axiomatization of convexity
Keimel’s problem on the algebraic axiomatization of convexity Open
Convex sets may be viewed as algebras equipped with a set of binary convex combinations that is indexed by the open unit interval of real numbers. Convex sets generate the variety of barycentric algebras, which also includes semilattices w…
View article: Discovering patterns of pleiotropy in genome-wide association studies
Discovering patterns of pleiotropy in genome-wide association studies Open
Motivation Genome-wide association studies have had great success in identifying human genetic variants associated with disease, disease risk factors, and other biomedical phenotypes. Many variants are associated with multiple traits, even…
View article: Entropic Hopf algebras
Entropic Hopf algebras Open
Classically, Hopf algebras are defined on the basis of modules over commutative rings. The present study seeks to extend the Hopf algebra formalism to a more general universal-algebraic setting, entropic varieties, including (pointed) sets…