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quant-ph2025
A Class of Cyclic Quantum Codes
Matthew B. Hastings
We introduce a class of cyclic quantum codes, basing the construction not on the simplicity of the stabilizers, but rather on the simplicity of preparation of a code state (at leas…
quant-ph2025
A Sparse Chain Complex Without a Sparse Lift
Matthew B. Hastings
We construct a sparse chain complex (with three different degrees, so that it corresponds to a quantum code) which does not admit a sparse lift to the integers, answering a q…