no code implementations • 8 Dec 2020 • Alexis Schotte, Guanyu Zhu, Lander Burgelman, Frank Verstraete
We consider a two-dimensional quantum memory of qubits on a torus which encode the extended Fibonaccistring-net code, and devise strategies for error correction when those qubits are subjected to depolarizing noise. Building on the concept of tube algebras, we construct a set of measurements and of quantum gates whichmap arbitrary qubit errors to the string-net subspace and allow for the characterization of the resulting errorsyndrome in terms of doubled Fibonacci anyons.
Quantum Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory
