3 papers
quant-ph2023
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.GT2023
On Freedman's link packings
Fedor Manin, Elia Portnoy
Recently, Freedman [arXiv:2301.00295] introduced the idea of packing a maximal number of links into a bounded region subject to geometric constraints, and produced upper bounds on…
quant-ph2023
Local Quantum Codes from Subdivided Manifolds
Elia Portnoy
For , we demonstrate the existence of quantum codes which are local in dimension with qubits, distance , and dimension , up t…