The tricritical point at the learning transition of deformed toric codes is a higher Nishimori critical point where the Edwards-Anderson correlation exponent exactly matches the clean Ising spin exponent and c_eff is greater than 1/2, decreasing under RG flow.
Kitaev, Fault-tolerant quantum computation by anyons, An- nals of Physics 303, 2 (2003)
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Generalizes entanglement witnesses from qubit stabilizer states to multi-qudit versions, showing better noise robustness in some cases.
Derives two types of gapless edge modes (fractonic and non-fractonic) plus a current algebra for a 2D fractonic system with constrained multipole mobility, analogous to fractional quantum Hall phases.
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Higher Nishimori Criticality and Exact Results at the Learning Transition of Deformed Toric Codes
The tricritical point at the learning transition of deformed toric codes is a higher Nishimori critical point where the Edwards-Anderson correlation exponent exactly matches the clean Ising spin exponent and c_eff is greater than 1/2, decreasing under RG flow.
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Entanglement witnesses for stabilizer states and subspaces beyond qubits
Generalizes entanglement witnesses from qubit stabilizer states to multi-qudit versions, showing better noise robustness in some cases.
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Fractons on the edge
Derives two types of gapless edge modes (fractonic and non-fractonic) plus a current algebra for a 2D fractonic system with constrained multipole mobility, analogous to fractional quantum Hall phases.