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math.CT2025
Brushstrokes and Tensor Products: Painting with a Monoidal Category
Khyathi Komalan
This article offers an intuitive introduction to monoidal categories through the lens of painting, presenting abstract mathematical concepts with visual and tactile analogies. Aime…
quant-ph2025
Quantum Barcodes: Persistent Homology for Quantum Phase Transitions
Khyathi Komalan
We introduce "quantum barcodes," a theoretical framework that applies persistent homology to classify topological phases in quantum many-body systems. By mapping quantum states to…