Pinnacle Architecture using QLDPC codes reduces physical qubits needed to factor RSA-2048 to under 100,000 at 10^{-3} error rate.
Interleaving: Modular architectures for fault-tolerant photonic quantum computing
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Lattice-surgery scheduling is mapped to 3D path embedding and solved with look-ahead Dijkstra projection, yielding 3.8x lower execution time on quantum phase estimation benchmarks versus greedy scheduling.
Quantum sieving for SVP in dimension 400 needs ~10^13 physical qubits and ~10^31 years under optimistic assumptions, offering no practical speedup over classical methods.
Synchronizable hybrid subsystem codes are built from classical cyclic codes C and D with C^perp subset C subset D via CSS construction to correct Pauli and synchronization errors, tolerate gauge errors, and carry both classical and quantum information, with explicit trade-offs.
A layered resource estimation framework applied to three quantum applications shows practical advantage requires 10^5-10^6 physical qubits, driven by size, speed, and controllability.
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The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes
Pinnacle Architecture using QLDPC codes reduces physical qubits needed to factor RSA-2048 to under 100,000 at 10^{-3} error rate.