A 3D Self-Correcting Quantum Memory
summary
Construction gives a family of local CSS stabilizer Hamiltonians in three dimensions whose thermal Lindbladian dynamics have a Gibbs fixed point and whose memory time grows exponentially with system size; locality includes bounded qubit density and a claimed perturbative stability under local Hamiltonian perturbations. The code builds by alternating repetition and parity defect replacements on toric-code patches, embedding them in R3, and proves robustness with a multiscale recursive decoder plus Peierls/Markov-chain bounds that make unstable syndrome configurations exponentially rare above a critical β.
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