Error Threshold of SYK Codes from Strong-to-Weak Parity Symmetry
Breaking
Error Threshold of SYK Codes from Strong-to-Weak Parity Symmetry
Breaking
Quantum error correction (QEC) codes are fundamentally linked to quantum phases of matter: the degenerate ground state manifold corresponds to the code space, while topological excitations represent error syndromes. Building on this concept, the Sachdev-Ye-Kitaev (SYK) model, characterized by its extensive quasi-ground state degeneracy, serves as a constant rate approximate …