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      A note on quantum expanders

      February 15, 2023

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      Physics
      Mathematics
      Quantum Physics
      Mathematical Physics
      Mathematical Physics
      Probability
      We prove that a wide class of random quantum channels with few Kraus operators, sampled as random matrices with some sparsity and moment assumptions, typically exhibit a large spectral gap, and are therefore optimal quantum expanders. In pa...

      Gorensteinness for normal tangent cones of elliptic ideals

      February 15, 2023

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      Mathematics
      Commutative Algebra
      Algebraic Geometry
      Commutative Algebra
      Algebraic Geometry
      Let AAA be a two-dimensional excellent normal Gorenstein local domain. In this paper, we characterize elliptic ideals I⊂AI \subset AI⊂A for its normal tangent cone G‾(I)\overline{G}(I)G(I) to be Gorenstein. Moreover, we classify all those ideals in a ...

      Ambiguous Contracts

      February 15, 2023

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      Computer Science
      Computer Science and Game Theory
      We explore the deliberate infusion of ambiguity into the design of contracts. We show that when the agent is ambiguity-averse and hence chooses an action that maximizes their minimum utility, the principal can strictly gain from using an am...

      Target Specific De Novo Design of Drug Candidate Molecules with Graph Transformer-based Generative Adversarial Networks

      February 15, 2023

      | | | | | | | | | | and others

      Computer Science
      Quantitative Biology
      Machine Learning
      Biomolecules
      Quantitative Methods
      Discovering novel drug candidate molecules is one of the most fundamental and critical steps in drug development. Generative deep learning models, which create synthetic data given a probability distribution, offer a high potential for desi...

      Self-Organising Neural Discrete Representation Learning \`a la Kohonen

      February 15, 2023

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      Computer Science
      Machine Learning
      Computer Vision and Pattern Recognition
      Unsupervised learning of discrete representations in neural networks (NNs) from continuous ones is essential for many modern applications. Vector Quantisation (VQ) has become popular for this, in particular in the context of generative mode...

      SUrvival Control Chart EStimation Software in R: the success package

      February 15, 2023

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      Statistics
      Applications
      Methodology
      Monitoring the quality of statistical processes has been of great importance, mostly in industrial applications. Control charts are widely used for this purpose, but often lack the possibility to monitor survival outcomes. Recently, inspect...

      Oriented Closed Polyhedral Maps and the Kitaev Model

      February 15, 2023

      Mathematics
      Physics
      Quantum Algebra
      Mathematical Physics
      Mathematical Physics
      A kind of combinatorial map, called arrow presentation, is proposed to encode the data of the oriented closed polyhedral complexes Σ\SigmaΣ on which the Hopf algebraic Kitaev model lives. We develop a theory of arrow presentations which und...

      Selective Noise Suppression Methods Using Random SVPWM to Shape the Noise Spectrum of PMSMs

      February 15, 2023

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      Electrical Engineering and Systems Science
      Computer Science
      Systems and Control
      Systems and Control
      Signal Processing
      Random pulse width modulation techniques are used in AC motors powered by two-level three-phase inverters, which cause a broadband spectrum of voltage, current, and electromagnetic force. The voltage distribution across a wide range of freq...

      Dynamics of Rapidly Rotating Bose-Einstein Quantum Droplets

      February 15, 2023

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      Physics
      Quantum Gases
      Atomic Physics
      This work theoretically investigates \textcolor{black}{the stationary properties} and the dynamics of the rotating quantum liquid droplets confined in a two-dimensional symmetric anharmonic trap. Mimicking the quantum Hall systems, the modi...

      The Hoffman-Wielandt inequality for quaternion matrices and quaternion matrix polynomials

      February 15, 2023

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      Mathematics
      Spectral Theory
      The purpose of this manuscript is to derive the Hoffman-Wielandt inequality and its most general form for quaternion matrices. Diagonalizabilty of the block companion matrix of certain quadratic (linear) quaternion matrix polynomials is bro...
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