4 citations · 5 across the 3 of their papers we have counts for
11 papers
Stability of topological superconducting qubits with number conservation
Matthew F. Lapa, Michael Levin
The study of topological superconductivity is largely based on the analysis of simple mean-field models that do not conserve particle number. A major open question in the field is…
Momentum occupation number bounds for interacting fermions
Matthew F. Lapa
We derive rigorous bounds on the average momentum occupation numbers in the Hubbard and Kondo models in the ground state and at non-zero temperatur…
Symmetry-protected gates of Majorana qubits in a high- superconductor platform
Matthew F. Lapa, Meng Cheng, Yuxuan Wang
We propose a platform for braiding Majorana non-Abelian anyons based on a heterostructure between a -wave high- superconductor and a quantum spin-Hall insulator. It has bee…
Topology of superconductors beyond mean-field theory
Matthew F. Lapa
The study of topological superconductivity is largely based on the analysis of mean-field Hamiltonians that violate particle number conservation and have only short-range interacti…
Rigorous results on topological superconductivity with particle number conservation
Matthew F. Lapa, Michael Levin
Most theoretical studies of topological superconductors and Majorana-based quantum computation rely on a mean-field approach to describe superconductivity. A potential problem with…
A note on the parity anomaly from the Hamiltonian point of view
Matthew F. Lapa
We review the parity anomaly of the massless Dirac fermion in dimensions from the Hamiltonian, as opposed to the path integral, point of view. We have two main goals for this…