The Majorana-Hubbard Model

Armin Rahmani, Dmitry I. Pikulin, Ian K. Affleck

Models of interacting Majorana modes may be realized in vortex lattices in superconducting films in contact with topological insulators and may be tuned to the strong interaction regime by adjusting the chemical potential. Extending the results on one- and two-dimensional Majorana-Hubbard models, here we study two- and four-leg ladders using both field theory and the {density-matrix renormalization group (DMRG)} methods, finding a phase diagram largely consistent with that proposed for the two-dimensional model on the square lattice.

Robert L. Sugar

Armin Rahmani, Dmitry I. Pikulin, Ian K. Affleck

Models of interacting Majorana modes may be realized in vortex lattices in superconducting films in contact with topological insulators and may be tuned to the strong-interaction regime by adjusting the chemical potential. Extending the results on one- and two-dimensional Majorana-Hubbard models, here we determine the phase diagrams of two- and four-leg ladders using both field theory and the density-matrix renormalization group (DMRG) methods.

Minoru Takahashi

Benjamin Morrison, Andrew J. Landahl

▶︎ Simplified architecture stack without logical qubit layer.▶︎ Quadratic gate depth reduction for Trotter-Suzuki simulation [5] of 2D Hubbard model by exploring locality for parallelism.▶︎ T-count reduction of 20% to leading order over [4] for qubitized simulation of 2D Hubbard model using Majorana-inspired techniques also compatible with logical qubit architectures.

Arianna Montorsi