Block decoder for color codes yields (1+ε)-approx w.h.p. under i.i.d. and smoothed noise plus exact min-weight decoding in sparse low-p regime.
Topological Quantum Distillation
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
abstract
We construct a class of topological quantum codes to perform quantum entanglement distillation. These codes implement the whole Clifford group of unitary operations in a fully topological manner and without selective addressing of qubits. This allows us to extend their application also to quantum teleportation, dense coding and computation with magic states.
representative citing papers
Plaquette compiles realistic quantum hardware noise models into multiple sampler representations, showing that Pauli-twirled approximations can misestimate logical error rates by an order of magnitude compared to leakage-aware and near-Clifford methods.
Genuine multi-entropy in the toric code reduces to topological entanglement entropy for stabilizer states at low replica index but captures independent topological data at n=4 and for non-stabilizer states.
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.
citing papers explorer
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Average-Case and Smoothed Near-Optimality for Color-Code Decoding
Block decoder for color codes yields (1+ε)-approx w.h.p. under i.i.d. and smoothed noise plus exact min-weight decoding in sparse low-p regime.
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Plaquette: A hardware-aware design platform for fault-tolerant quantum computers
Plaquette compiles realistic quantum hardware noise models into multiple sampler representations, showing that Pauli-twirled approximations can misestimate logical error rates by an order of magnitude compared to leakage-aware and near-Clifford methods.
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Genuine Multi-Entropy in the Toric Code
Genuine multi-entropy in the toric code reduces to topological entanglement entropy for stabilizer states at low replica index but captures independent topological data at n=4 and for non-stabilizer states.
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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.