Geometry-optimized hyperbolic codes for modular fault-tolerant quantum architectures

arXiv:2610.10948 · quant-ph, math-ph, math.MP · Submitted 2026-10-07 · Read on arXiv

quant-ph, math-ph, math.MP

Submitted: 2026-10-07

Updated: 2026-10-07

Terminology

• Benchmark — 8× in this paper · explained in 2 episodes
• Modular Architecture — 7× in this paper · explained in 4 episodes
• Ancilla Qubits — 5× in this paper · explained in 1 episode
• Communication Overhead — 4× in this paper · explained in 2 episodes
• Fidelity — 4× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Anyons — 1× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• CSS Codes — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 4 episodes
• Fisher Information — 1× in this paper · explained in 3 episodes
• Hypergraph — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Pruning — 1× in this paper · explained in 4 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• A diagrammatic field theory of quantum error correction
• Check-weight-constrained quantum codes: Bounds and examples
• Pruning qLDPC codes: Towards bivariate bicycle codes with open boundary conditions
• Barbell Codes: qLDPC Codes for Superconducting Quantum Hardware
• The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes
• Explicit construction of low-overhead gadgets for gates on quantum LDPC codes
• Good quantum LDPC codes with linear time decoder from lossless expanders
• On Quantum Weight Reduction
• A Scalable Superconducting Circuit Framework for Emulating Physics in Hyperbolic Space
• Scalable Low-overhead Superconducting Non-local Coupler with Exponentially Enhanced Connectivity
• Distributed Hyperbolic Floquet Codes under Depolarizing and Erasure Noise
• Hyperbolic Cluster States for Fault-Tolerant Measurement-Based Quantum Computing

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