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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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0111 · Mar 202319922001200920172026
3 results for “Freedman-Hastings”
Transversal non-Clifford gates on qLDPC codes breaking the N\sqrt{N} distance barrier and quantum-inspired geometry with Z2\mathbb{Z}_2 systolic freedomquant-ph

New quantum code breaks distance barrier with transversal non-Clifford gates.

problem Breaking the sqrt(N) distance barrier for quantum LDPC codes.
method Combining three qLDPC codes, Freedman-Hastings mapping, and triple cup product.
result Achieves Ω(N^(2/3)) distance and Θ(N^(2/3)) dimension, enabling fault-tolerant magic state preparation.
quantum codesdistance barriertransversal gatesqLDPCFreedman-Hastings
2025-07-20abs ↗pdf ↗
A topological theory for qLDPC: non-Clifford gates and magic state fountain on homological product codes with constant rate and beyond the N1/3N^{1/3} distance barrierquant-ph

Topological theory for qLDPC codes enables non-Clifford gates and magic state injection.

problem Fault-tolerant quantum computation in qLDPC codes with non-Clifford gates and magic state resources.
method Developed a topological theory using simplicial or CW complex structures and deformation retraction.
result Achieved non-Clifford gates and magic state injection in qLDPC codes with constant rate and polynomial distance.
qLDPC codestopological theorynon-Clifford gatesmagic state injectionhomological product codes
2025-01-31abs ↗pdf ↗