Majorana surface code

Majorana surface code[1,2]

Majorana analogue of the surface code defined on a 2D lattice and constructed out of Majorana box qubit codes placed on patches of the lattice.

Ordinary and twist-based lattice surgery [3] (see also [4]).

Ordinary and twist-based lattice surgery can be made fault tolerant [3] (see also [4]).

Kitaev surface code — The Majorana surface code is a Majorana stabilizer analogue of the surface code.
Majorana box qubit — Majorana box qubits, such as hexons, tetrons, octons, and dodecons, are placed onto patches of a 2D lattice to form Majorana surface codes [3; Table I].

[1]: S. Vijay, T. H. Hsieh, and L. Fu, “Majorana Fermion Surface Code for Universal Quantum Computation”, Physical Review X 5, (2015) arXiv:1504.01724 DOI
[2]: L. A. Landau, S. Plugge, E. Sela, A. Altland, S. M. Albrecht, and R. Egger, “Towards Realistic Implementations of a Majorana Surface Code”, Physical Review Letters 116, (2016) arXiv:1509.05345 DOI
[3]: D. Litinski and F. von Oppen, “Quantum computing with Majorana fermion codes”, Physical Review B 97, (2018) arXiv:1801.08143 DOI
[4]: C. McLauchlan and B. Béri, “A new twist on the Majorana surface code: Bosonic and fermionic defects for fault-tolerant quantum computation”, Quantum 8, 1400 (2024) arXiv:2211.11777 DOI

Page edit log

“Majorana surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/majorana_surface