Proves long-range order for the chiral mass bilinear in three lattice discretizations of 2D Gross-Neveu models at small coupling and large even flavor number via Hubbard-Stratonovich, reflection positivity, chessboard estimates and Peierls contours.
Homological Quantum Rotor Codes: Logical Qubits from Torsion
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Lattice QED is established as a quantum error-correcting code beyond stabilizers, with explicit recovery operations constructed via quantum reference frames for gauge and fermionic sectors.
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Chiral Long-Range Order in three Euclidean Lattice Gross-Neveu Models
Proves long-range order for the chiral mass bilinear in three lattice discretizations of 2D Gross-Neveu models at small coupling and large even flavor number via Hubbard-Stratonovich, reflection positivity, chessboard estimates and Peierls contours.
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Error Correction in Lattice Quantum Electrodynamics with Quantum Reference Frames
Lattice QED is established as a quantum error-correcting code beyond stabilizers, with explicit recovery operations constructed via quantum reference frames for gauge and fermionic sectors.
- Kolmogorov equations for evaluating the boundary hitting of degenerate diffusion with unsteady drift