Results 11 to 20 of about 7,918 (73)
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
Space‐Efficient Logical Qubit Architecture with a Bus for Magic State Consumption
This paper proposes a logical qubit architecture, considering the consumption of magic states. By constructing the patch to the magic state using the repetition code and data qubits using the surface code, the proposed architecture minimizes the number of qubits, referred to as the space cost.
Yujin Kang, Youshin Chung, Jun Heo
wiley +1 more source
A Resource Efficient Ising Model‐Based Quantum Sudoku Solver
ABSTRACT Background Quantum algorithms exploit superposition and parallelism to address complex combinatorial problems, many of which fall into the non‐polynomial (NP) class. Sudoku, a widely known logic‐based puzzle, is proven to be NP‐complete and thus presents a suitable testbed for exploring quantum optimization approaches.
Wen‐Li Wang +5 more
wiley +1 more source
Methods for Computing Normalisations of Affine Rings
Our main purpose is to give multiple examples for using the available implementations for computing the normalization of an affine ring, computing the minimial generators of the normalization as an algebra over the original ring and integral closures of ...
Taylor, Amelia
core +2 more sources
Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework
ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
wiley +1 more source
Multiterminal High‐Voltage Direct Current Projects: A Comprehensive Assessment and Future Prospects
ABSTRACT Multiterminal high‐voltage direct current (MT‐HVDC) systems are an important part of modern power systems, addressing the need for bulk power delivery and efficient renewable energy integration. This paper provides a comprehensive overview of recent advances in MT‐HVDC technology, including launched projects and ongoing initiatives.
Mohammad Hossein Mousavi +3 more
wiley +1 more source
On Rees algebras and invariants for singularities over perfect fields
The purpose of this paper is to show how Rees algebras can be applied in the study of singularities embedded in smooth schemes over perfect fields. In particular, we will study situations in which the multiplicity of a hypersurface is a multiple of the ...
Bravo, A. +2 more
core +1 more source
Abstract Background and Aims A vast body of theory and research highlights the operation of seriation as a prerequisite to mathematical thinking in young children. However, there is limited evidence that seriation interventions improve early years mathematics.
David Tzuriel, Dikla Hanuka‐Levi
wiley +1 more source
Aggregation and the Structure of Value
ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley +1 more source

