Toric code decodability under coherent X/Z errors is dual to Majorana monitored dynamics whose symmetry class (D or DIII) dictates whether the generic transition is a measurement-induced entanglement transition or a topological transition between area-law phases.
Physics-Uspekhi , abstract =
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Flux quantization of the M5-brane tensor field in twisted Cohomotopy yields Pontrjagin homology observables that reproduce abelian Chern-Simons theory and braid actions on defect anyons.
Numerical study demonstrates controlled transport of Z4 parafermion edge states in a ladder model and quantifies the adiabatic speed limit under realistic conditions.
A microscopic model of an SSH-superconductor junction finds stable quasiparticle states inside the gap for bulk superconductors but finite temperature-dependent lifetimes from phase fluctuations in lower-dimensional superconductors.
Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
Edge reconstruction of a ν=1 quantum Hall edge into a ν=1/3 side strip doubles topological sectors to Z2×Z2 degeneracy, producing 4π Josephson periodicity with energetically decoupled Z2 states.
Pedagogical lecture notes that classify 1D fermionic topological phases of free fermions under U(1) symmetry and time-reversal symmetry and check perturbative stability to interactions.
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Decoding coherent errors in toric codes on honeycomb and square lattices: duality to Majorana monitored dynamics and symmetry classes
Toric code decodability under coherent X/Z errors is dual to Majorana monitored dynamics whose symmetry class (D or DIII) dictates whether the generic transition is a measurement-induced entanglement transition or a topological transition between area-law phases.
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Engineering of Anyons on M5-Probes via Flux Quantization
Flux quantization of the M5-brane tensor field in twisted Cohomotopy yields Pontrjagin homology observables that reproduce abelian Chern-Simons theory and braid actions on defect anyons.
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Shuttling of $\mathbb{Z}_4$ parafermions in an electronic ladder model
Numerical study demonstrates controlled transport of Z4 parafermion edge states in a ladder model and quantifies the adiabatic speed limit under realistic conditions.
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Superconducting Proximity Effect in an SSH-Superconductor Junction
A microscopic model of an SSH-superconductor junction finds stable quasiparticle states inside the gap for bulk superconductors but finite temperature-dependent lifetimes from phase fluctuations in lower-dimensional superconductors.
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Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
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Can Majorana zero modes in quantum Hall edges survive edge reconstruction?
Edge reconstruction of a ν=1 quantum Hall edge into a ν=1/3 side strip doubles topological sectors to Z2×Z2 degeneracy, producing 4π Josephson periodicity with energetically decoupled Z2 states.
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A pedestrian's guide to the topological phases of free fermions
Pedagogical lecture notes that classify 1D fermionic topological phases of free fermions under U(1) symmetry and time-reversal symmetry and check perturbative stability to interactions.