… From this proposed construction, in addition to reproducing the previous known toric
quantum codes, we generate new classes of toric quantum codes achieving the best d/n ratio …

… A toric quantum error-correcting code construction procedure is presented in this … new class
of an infinite family of toric quantum codes is provided by constructing a classical cyclic code …

… We also review a recipe for constructing quantum codes from tessellated spaces. We will
use a wellknown quantum code called the toric code as an example for this construction. …

… As a special case of this construction, we obtain toric codes … algorithm for hybrid color-toric
codes in two dimensions and … modifying other code families such as triorthogonal codes. …

… Hamiltonians of the toric code and Kitaev quantum double models as the low-energy limits
of entirely twobody Hamiltonians. Our construction makes use of a new type of perturbation …

… These nontrivial states can be considered as a generalization of the toric code states and …
gates in 3D fractal surface codes, with the detailed construction of lattice models presented …

… only vacuum fluctuations can occur, due to QP-conserving combinations of creation and
annihilation processes of second and higher perturbation orders. Their effect is to shift the …

We study measurement-based quantum computation (MQC) using as a quantum resource
the planar code state on a two-dimensional square lattice (planar analog of the toric code). It …

… product code constructions: the fibre bundle product construction and the balanced product
… Naturally, one may wonder whether we can also represent quantum codes as a chain …

… the Minimum Weight Perfect Matching algorithm for code distances up to $d=7… codes.
Featured image: Syndrome diagnosing the state of a quantum code for an error protected quantum …