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quant-ph2025
Symmetric Self-Dual Quantum Codes on High Dimensional Expanders
Kyle Gulshen, Tali Kaufman
We construct a family of constant-rate highly-symmetric self-dual qLDPC codes on high dimensional expanders. This is the first self-dual code constructed on high dimensional expand…
quant-ph2023
NLTS Hamiltonians and Strongly-Explicit SoS Lower Bounds from Low-Rate Quantum LDPC Codes
Louis Golowich, Tali Kaufman
Recent constructions of the first asymptotically good quantum LDPC (qLDPC) codes led to two breakthroughs in complexity theory: the NLTS (No Low-Energy Trivial States) theorem (Ans…