Modular fault-tolerant quantum computing on a non-CSS code

arXiv:2609.22572 · quant-ph · Submitted 2026-09-18 · Read on arXiv

quant-ph

Submitted: 2026-09-18

Updated: 2026-09-18

Terminology

• Fidelity — 20× in this paper · explained in 2 episodes
• CSS Codes — 11× in this paper · explained in 2 episodes
• Process tomography — 9× in this paper · explained in 2 episodes
• Verification — 8× in this paper · explained in 2 episodes
• Entanglement — 4× in this paper · explained in 4 episodes
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Ancilla Qubits — 1× in this paper · explained in 1 episode
• Benchmarking — 1× in this paper · explained in 4 episodes
• Core — 1× in this paper · explained in 2 episodes
• Gauge Freedom — 1× in this paper · explained in 2 episodes
• Intelligence Advanced Research Projects Activity — 1× in this paper
• Modular Architecture — 1× in this paper · explained in 4 episodes
• Modularity — 1× in this paper · explained in 9 episodes

Sources

• Implementing Fault-tolerant Entangling Gates on the Five-qubit Code and the Color Code
• Demonstration of quantum computation and error correction with a tesseract code
• Fault-tolerant quantum computation with a neutral atom processor
• Benchmarking a machine-learning differential equations solver on a neutral-atom logical processor
• Surface code logical operations on a superconducting quantum processor
• A superconducting surface-code processor with lattice-surgery logical operations
• Tour de gross: A modular quantum computer based on bivariate bicycle codes
• Explicit construction of low-overhead gadgets for gates on quantum LDPC codes
• The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes
• Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits
• Magic state cultivation on a superconducting quantum processor
• Easy better quantum process tomography
• Magic state cultivation: growing T states as cheap as CNOT gates

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• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• 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