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.
Ryan-Anderson, N
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New search algorithms over stabilizer tableaus and modular assembly techniques yield encoders with up to 43% fewer two-qubit gates and 70% lower depth than prior constructions on tested stabilizer codes including qLDPC and holographic families.
Micromotion enables high-fidelity fast entangling gates on radial modes of trapped-ion crystals with operation times of hundreds of nanoseconds.
Impulsive spin-dependent excitation enables high-fidelity non-local entangling gates between arbitrary ion pairs in chains of up to 40 trapped ions within 1.3-2 center-of-mass oscillation periods.
Experimental demonstration of logical |H_L> and |T_L> magic states with fidelities 0.8806 and 0.8665 on IBM superconducting hardware using a qubit-efficient surface code embedding, with reported error thresholds above prior values.
Constructions for universal quantum computation in the [[n,n-2,2]] error-detecting code detect single-gate errors at computation end, providing weak fault tolerance with reduced overhead versus full error correction.
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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Synthesis and Optimization of Encoding Circuits for Fault-Tolerant Quantum Computation
New search algorithms over stabilizer tableaus and modular assembly techniques yield encoders with up to 43% fewer two-qubit gates and 70% lower depth than prior constructions on tested stabilizer codes including qLDPC and holographic families.
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Radial Fast Entangling Gates Under Micromotion in Trapped-Ion Quantum Computers
Micromotion enables high-fidelity fast entangling gates on radial modes of trapped-ion crystals with operation times of hundreds of nanoseconds.
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High-speed and high-connectivity two-qubit gates in long chains of trapped ions
Impulsive spin-dependent excitation enables high-fidelity non-local entangling gates between arbitrary ion pairs in chains of up to 40 trapped ions within 1.3-2 center-of-mass oscillation periods.
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Magic State Injection on IBM Quantum Processors Above the Distillation Threshold
Experimental demonstration of logical |H_L> and |T_L> magic states with fidelities 0.8806 and 0.8665 on IBM superconducting hardware using a qubit-efficient surface code embedding, with reported error thresholds above prior values.
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Weakly Fault-Tolerant Computation in a Quantum Error-Detecting Code
Constructions for universal quantum computation in the [[n,n-2,2]] error-detecting code detect single-gate errors at computation end, providing weak fault tolerance with reduced overhead versus full error correction.