0-Pi Qubits as Homological Rotor Codes

Explore quantum rotor codes and their applications in encoding logical qudits through this comprehensive quantum seminar presented by renowned physicist Barbara Terhal. Delve into the intricate relationship between homological rotor codes and chain complex homology, examining how tessellations of real projective planes and Möbius strips can encode qubits. Learn about the protection mechanisms in 2D rotor codes, including the phenomenon of logical operator spreading through continuous stabilizer phase-shifts, and understand the implications for memory phase limitations. Examine the protected 0-π qubit and Kitaev's Moebius-strip qubit from a code perspective, drawing from recent research published in collaboration with Vuillot and Ciani. Benefit from Terhal's extensive expertise in quantum information theory, developed through her distinguished career at institutions including IBM Watson, RWTH Aachen University, and Delft University of Technology.