2023/05/17 by Terrence George, George, Terrence · 1 citation
Computer Science · #Matrix Theory and Algorithms #Neural Networks and Applications #Quantum Information and Cryptography
paper · pdf · doi:10.48550/arxiv.2305.10074
We construct an electrical-network version of the twist map for the positive Grassmannian, and use it to solve the inverse problem of recovering conductances from the response matrix. Each conductance is expressed as a biratio of Pfaffians as in the inverse map of Kenyon and Wilson; however, our Pfaffians are the more canonical B variables instead of their tripod variables, and are coordinates on the positive orthogonal Grassmannian studied by Henriques and Speyer.