Decoherence on abelian topological order is modeled as a temporal defect in double TQFT driving boundary anyon condensation transitions classified by Lagrangian subgroups of the doubled order.
Tensor-Network Simulations of the Surface Code under Realistic Noise
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abstract
The surface code is a many-body quantum system, and simulating it in generic conditions is computationally hard. While the surface code is believed to have a high threshold, the numerical simulations used to establish this threshold are based on simplified noise models. We present a tensor-network algorithm for simulating error correction with the surface code under arbitrary local noise. We use this algorithm to study the threshold and the subthreshold behavior of the amplitude-damping and systematic rotation channels. We also compare these results to those obtained by making standard approximations to the noise models.
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UNVERDICTED 2representative citing papers
GHZ states in X, Y, and Z bases form a maximally sensitive set allowing straightforward tests to identify coherent errors in quantum gates, measurements, and state preparation.
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Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
Decoherence on abelian topological order is modeled as a temporal defect in double TQFT driving boundary anyon condensation transitions classified by Lagrangian subgroups of the doubled order.
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Maximally Sensitive Sets of States
GHZ states in X, Y, and Z bases form a maximally sensitive set allowing straightforward tests to identify coherent errors in quantum gates, measurements, and state preparation.