# Topological Matter & Quantum Information
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Topologically protected 1D transport and how much quantum information survives noise, decoherence, and measurement — three threads: Majorana zero modes in topological superconducting wires (Agarwal's largest, most active recent program), quantum Hall valley domain-wall transport (a materials-physics realization of protected 1D channels via a different mechanism), and classical shadow tomography/quantum learning (how efficiently and robustly quantum states can be characterized, including a small standalone black-hole decoherence toy model sharing a collaborator and question with the tomography work).
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Children: Majorana Zero Modes: Braiding, Robustness & Transport (nests Bath-Induced Dissipative Phase Transitions), Quantum Hall Valley & Nematic Domain-Wall Transport (cross-linked to Majorana via shared "protected 1D boundary channel" physics), Classical Shadow Tomography & Quantum Learning (nests Quantum Hopfield Networks and Toy Model for Black Hole Decoherence).
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# Parents
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* Research Directions — Kartiek Agarwal (from Google Scholar)⏎