Knill error correction reduces circuit-level decoding for quantum LDPC codes to the simpler code-capacity decoder while remaining fault-tolerant under locally decaying noise.
Fault-Tolerant Postselected Quantum Computation: Threshold Analysis
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
The schemes for fault-tolerant postselected quantum computation given in [Knill, Fault-Tolerant Postselected Quantum Computation: Schemes, http://arxiv.org/abs/quant-ph/0402171] are analyzed to determine their error-tolerance. The analysis is based on computer-assisted heuristics. It indicates that if classical and quantum communication delays are negligible, then scalable qubit-based quantum computation is possible with errors above 1% per elementary quantum gate.
fields
quant-ph 4representative citing papers
Local 2D and 3D Reed-Muller distillation factories achieve output infidelities down to 8.256e-9 for CCZ states and 1.1811e-17 for T states from 10^{-3} input infidelity.
Introduces metrics, criteria, and taxonomy for linear quantum error mitigation methods with an example strategy for stochastic and rotational errors on characterized hardware, emphasizing precise characterization.
Introduces ghost Gutzwiller quantum embedding for ground-state and spectral simulations of correlated electrons on quantum devices, tested on the infinite-dimensional Hubbard model with error mitigation.
citing papers explorer
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Simplified circuit-level decoding using Knill error correction
Knill error correction reduces circuit-level decoding for quantum LDPC codes to the simpler code-capacity decoder while remaining fault-tolerant under locally decaying noise.
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Local distillation from Reed Muller codes unfolding
Local 2D and 3D Reed-Muller distillation factories achieve output infidelities down to 8.256e-9 for CCZ states and 1.1811e-17 for T states from 10^{-3} input infidelity.
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Certification and Classification of Linear Quantum Error Mitigation Methods
Introduces metrics, criteria, and taxonomy for linear quantum error mitigation methods with an example strategy for stochastic and rotational errors on characterized hardware, emphasizing precise characterization.
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Quantum-Classical Embedding via Ghost Gutzwiller Approximation for Enhanced Simulations of Correlated Electron Systems
Introduces ghost Gutzwiller quantum embedding for ground-state and spectral simulations of correlated electrons on quantum devices, tested on the infinite-dimensional Hubbard model with error mitigation.