Single-shot magic state factories for quantum LDPC codes

arXiv:2610.10731 · quant-ph · Submitted 2026-10-07 · Read on arXiv

quant-ph

Submitted: 2026-10-07

Updated: 2026-10-07

Terminology

• Hypergraph — 22× in this paper · explained in 2 episodes
• Fidelity — 11× in this paper · explained in 2 episodes
• Distillation — 6× in this paper · explained in 2 episodes
• Generalization — 5× in this paper · explained in 13 episodes
• Ancilla Qubits — 4× in this paper · explained in 1 episode
• Consistency — 4× in this paper · explained in 3 episodes
• Decode — 4× in this paper · explained in 2 episodes
• Redundancy — 4× in this paper · explained in 2 episodes
• APEX — 2× in this paper · explained in 1 episode
• Benchmark — 2× in this paper · explained in 2 episodes
• CSS Codes — 2× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 3 episodes
• Active Volume — 1× in this paper · explained in 1 episode
• Addressability — 1× in this paper · explained in 1 episode
• Adversarial Noise — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes

Sources

• How to factor 2048 bit RSA integers with less than a million noisy qubits
• Fold-transversal surface code cultivation
• Magic state cultivation: growing T states as cheap as CNOT gates
• Cultivating T states on the surface code with only two-qubit gates
• Efficient Magic State Cultivation on $\mathbb{RP}^2$
• Stim: a fast stabilizer circuit simulator
• Breaking the Orthogonality Barrier in Quantum LDPC Codes
• Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits
• Strategic Plan for Neutral Atom Quantum Computation
• Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays
• Parallel Logical Measurements via Quantum Code Surgery
• Improved QLDPC Surgery: Logical Measurements and Bridging Codes
• High-Rate Surgery: towards constant-overhead logical operations
• Fast surgery for quantum LDPC codes
• Fast and fault-tolerant logical measurements: Auxiliary hypergraphs and transversal surgery
• Parallel algebraic surgery for qLDPC codes with constant shuttling depth
• Efficient Logic with Ultra-High-Rate Quantum Codes
• Local Decoders for the 2D and 4D Toric Code
• Single-Shot Decoding and Fault-tolerant Gates with Trivariate Tricycle Codes
• Quantum Hypergraph States

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• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
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• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity