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PhD thesis: Homological Quantum Codes Beyond the Toric Code
[article]
2018
arXiv
pre-print
PhD thesis investigating homological quantum codes derived from curved and higher dimensional geometries. In the first part we will consider closed surfaces with constant negative curvature. We show how such surfaces can be constructed and enumerate all quantum codes derived from them which have less than 10.000 physical qubits. For codes that are extremal in a certain sense we perform numerical simulations to determine the value of their threshold. Furthermore, we give evidence that these
arXiv:1802.01520v1
fatcat:rrbxw235undqzn22p43baytnte