787 citations · 2.1k across the 39 of their papers we have counts for
39 papers
The matrix permanent and determinant from a spin system
Abhijeet Alase, Owen Doty, David L. Feder
In contrast to the determinant, no algorithm is known for the exact determination of the permanent of a square matrix that runs in time polynomial in its dimension. Consequently, n…
Erasure conversion in Majorana qubits via local quasiparticle detection
Abhijeet Alase, Kevin D. Stubbs, Barry C. Sanders +1
Quasiparticle poisoning errors in Majorana-based qubits are not suppressed by the underlying topological properties, which undermines the usefulness of this proposed platform. This…
Topological graph states and quantum error correction codes
Pengcheng Liao, Barry C. Sanders, David L. Feder
Deciding if a given family of quantum states is topologically ordered is an important but nontrivial problem in condensed matter physics and quantum information theory. We derive n…
Graph state representation of the toric code
Pengcheng Liao, David L. Feder
Given their potential for fault-tolerant operations, topological quantum states are currently the focus of intense activity. Of particular interest are topological quantum error co…
Generating and detecting topological phases with higher Chern number
Abhijeet Alase, David L. Feder
Topological phases with broken time-reversal symmetry and Chern number |C|>=2 are of fundamental interest, but it remains unclear how to engineer the desired topological Hamiltonia…
Detecting topological transitions in two dimensions by Hamiltonian evolution
Wei-Wei Zhang, Barry C. Sanders, Simon Apers +2
We show that the evolution of two-component particles governed by a two-dimensional spin-orbit lattice Hamiltonian can reveal transitions between topological phases. A kink in the…