IQC Student Seminar featuring Amolak Ratan Kalra

CATEGORIES OF KIRCHOFF RELATIONS

Abstract: I will be talking about the connections between electrical circuits and stabilizer qudit quantum circuits with an eye towards applications to qudit quantum error correction. More formally I will be defining a category dubbed Kirchhoff relations and characterize the maps in this category using parity check matrices. I will then go on to give a universal set of generators for this category and interpret these generators in-terms of electrical elements.

This is work in progress.