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Quantum codes on a lattice with boundary

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arxiv quant-ph/9811052 v1 pith:QAAKFYX3 submitted 1998-11-20 quant-ph

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keywords boundarylatticeoperatorsquantumadditivealternatingassociatedcode
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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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