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quant-ph2026
Improved Transversal Non-Clifford Gates from Cup Products
Louis Golowich, Itzhak Tamo, Guanyu Zhu
It is a major challenge in quantum fault-tolerance to obtain low-overhead protocols for performing non-Clifford gates. In this vein, we construct quantum codes with low-weight stab…
quant-ph2026
Breaking the bicycle frame: Coset-based quantum LDPC codes
Arda Aydin, Itzhak Tamo, Alexander Barg
Generalizing the construction of two-block group algebra (2BGA) codes, we introduce a family of two-block quantum LDPC codes constructed using the action of a group on the cosets o…