Engineered dissipation produces topologically degenerate steady states that form a stable many-body phase in three dimensions but not two.
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Perturbations to the chiral Z_p toric code induce Hall-on-Toric descendant states featuring fractional Z_p charges and increased topological degeneracy, identified via iDMRG analysis of entanglement and generalized Hall conductance.
Introduces a gauging-based method for fault-tolerant logical measurement achieving qubit overhead linear in operator weight up to polylog factors, adaptable to arbitrary codes.
citing papers explorer
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Topologically Ordered Steady States in Open Quantum Systems
Engineered dissipation produces topologically degenerate steady states that form a stable many-body phase in three dimensions but not two.
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Hall-on-Toric: Descendant Laughlin state in the chiral $\mathbb{Z}_p$ toric code
Perturbations to the chiral Z_p toric code induce Hall-on-Toric descendant states featuring fractional Z_p charges and increased topological degeneracy, identified via iDMRG analysis of entanglement and generalized Hall conductance.
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Low-overhead fault-tolerant quantum computation by gauging logical operators
Introduces a gauging-based method for fault-tolerant logical measurement achieving qubit overhead linear in operator weight up to polylog factors, adaptable to arbitrary codes.