3 problems
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The twisted-toric-code distance conjecture
Let be a dimension and consider families of -dimensional toric codes with appropriate twisted boundary conditions. Let denote the number of physical qubits, and let the…
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The square logical-dimension conjecture for Abelian topological codes
Let be an Abelian anyon theory, and let an Abelian topological code realize this theory on a torus. The code's logical dimension is the dimension of its encoded state space. Sq…
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The IRUF distance-guarantee conjecture for toric and surface codes
IRUF distance-guarantee conjecture. Given the geometric similarity between toric codes and the other three code families, IRUF does not provide a distance guarantee for rotated tor…