Averaging symmetric Z_N quantum circuits over random noise produces a noisy surface code whose logical information is protected against symmetric errors up to a threshold, with charge-sharpening transitions coinciding with bulk confinement transitions that differ for N≤4 versus N>4.
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A transposition trick is introduced to impose lattice-reflection symmetry in TNRG projective truncations and entanglement filtering, enabling extraction of scaling dimensions separately in each symmetry sector for 2D and 3D systems.
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Holographically Emergent Gauge Theory in Symmetric Quantum Circuits
Averaging symmetric Z_N quantum circuits over random noise produces a noisy surface code whose logical information is protected against symmetric errors up to a threshold, with charge-sharpening transitions coinciding with bulk confinement transitions that differ for N≤4 versus N>4.
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Lattice-reflection symmetry in tensor-network renormalization group with entanglement filtering in two and three dimensions
A transposition trick is introduced to impose lattice-reflection symmetry in TNRG projective truncations and entanglement filtering, enabling extraction of scaling dimensions separately in each symmetry sector for 2D and 3D systems.