Quantum codes on a lattice with boundary
SB Bravyi, AY Kitaev - arXiv preprint quant-ph/9811052, 1998 - arxiv.org
SB Bravyi, AY Kitaev
arXiv preprint quant-ph/9811052, 1998•arxiv.orgA new type of local-check additive quantum code is presented. Qubits are associated with
edges of a 2-dimensional lattice whereas the stabilizer operators correspond to the faces
and the vertices. The boundary of the lattice consists of alternating pieces with two different
types of boundary conditions. Logical operators are described in terms of relative homology
groups.
edges of a 2-dimensional lattice whereas the stabilizer operators correspond to the faces
and the vertices. The boundary of the lattice consists of alternating pieces with two different
types of boundary conditions. Logical operators are described in terms of relative homology
groups.
A new type of local-check additive quantum code is presented. Qubits are associated with edges of a 2-dimensional lattice whereas the stabilizer operators correspond to the faces and the vertices. The boundary of the lattice consists of alternating pieces with two different types of boundary conditions. Logical operators are described in terms of relative homology groups.
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