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quant-ph2023★ 4 cited
Non-Clifford and parallelizable fault-tolerant logical gates on constant and almost-constant rate homological quantum LDPC codes via higher symmetries
Guanyu Zhu, Shehryar Sikander, Elia Portnoy +2
We study parallel fault-tolerant quantum computing for families of homological quantum low-density parity-check (LDPC) codes defined on 3-manifolds with constant or almost-constant…
math-ph2023
Remarks on the Dijkgraaf-Witten invariants of 3D mapping tori
William Chen, Alex Kontorovich, Shehryar Sikander
We make some remarks on the Dijkgraaf-Witten invariants of 3D mapping tori and determine the asymptotic behavior of their sum over all diffeomorphism classes of genu…