5 citations · 6 across the 3 of their papers we have counts for
4 papers · 1 filter
A local automaton for the 2D toric code
Shankar Balasubramanian, Margarita Davydova, Ethan Lake
We construct a local decoder for the 2D toric code using ideas from the hierarchical classical cellular automata of Tsirelson and Gács. Our decoder is a circuit of strictly local…
A passive self-correcting quantum memory in three dimensions
Shankar Balasubramanian, Margarita Davydova, Ting-Chun Lin
We construct a 3D Pauli stabilizer Hamiltonian whose ground state space can encode a qubit for exponential time when coupled to a bath at non-zero temperature. Our construction rec…
Cups and Gates I: Cohomology invariants and logical quantum operations
Nikolas P. Breuckmann, Margarita Davydova, Jens N. Eberhardt +1
We take initial steps towards a general framework for constructing logical gates in general quantum CSS codes. Viewing CSS codes as cochain complexes, we observe that cohomology in…
Universal fault tolerant quantum computation in 2D without getting tied in knots
Margarita Davydova, Andreas Bauer, Julio C. Magdalena de la Fuente +3
We show how to perform scalable fault-tolerant non-Clifford gates in two dimensions by introducing domain walls between the surface code and a non-Abelian topological code whose co…