A new sparse Pauli-frame method shows coherent noise thresholds are overestimated by a factor of ~4 under Pauli-twirling and revises the T-to-S gate error rate factor to as high as 7 at distance d=5.
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Generalizes stat-mech mapping from toric code memories to transversal Clifford circuits, mapping tCNOT to random Ashkin-Teller and 4-body Ising models and estimating reduced thresholds of p=0.080 and p>=0.028.
Numerical simulations of the surface-code ML decoder under single- and two-qubit unitary rotations reveal a ferromagnetic volume-law phase in which classical information is retained yet hard to recover.
citing papers explorer
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Computing logical error thresholds with the Pauli Frame Sparse Representation
A new sparse Pauli-frame method shows coherent noise thresholds are overestimated by a factor of ~4 under Pauli-twirling and revises the T-to-S gate error rate factor to as high as 7 at distance d=5.
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Rigorous estimation of error thresholds of transversal Clifford logical circuits
Generalizes stat-mech mapping from toric code memories to transversal Clifford circuits, mapping tCNOT to random Ashkin-Teller and 4-body Ising models and estimating reduced thresholds of p=0.080 and p>=0.028.
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Phases of decodability in the surface code with unitary errors
Numerical simulations of the surface-code ML decoder under single- and two-qubit unitary rotations reveal a ferromagnetic volume-law phase in which classical information is retained yet hard to recover.