English

Linear-optical quantum computation with arbitrary error-correcting codes

Quantum Physics 2025-04-11 v3

Abstract

High-rate quantum error correcting codes mitigate the imposing scale of fault-tolerant quantum computers but require efficient generation of non-local, many-body entanglement. We provide a linear-optical architecture with these properties, compatible with arbitrary codes and Gottesman-Kitaev-Preskill qubits on generic lattices, and featuring a natural way to leverage physical noise bias. Simulations of hyperbolic surface codes and bivariate bicycle codes, promising families of quantum low-density parity-check codes, reveal a threshold comparable to the 2D surface code with substantially better encoding rates.

Keywords

Cite

@article{arxiv.2408.04126,
  title  = {Linear-optical quantum computation with arbitrary error-correcting codes},
  author = {Blayney W. Walshe and Ben Q. Baragiola and Hugo Ferretti and José Gefaell and Michael Vasmer and Ryohei Weil and Takaya Matsuura and Thomas Jaeken and Giacomo Pantaleoni and Zhihua Han and Timo Hillmann and Nicolas C. Menicucci and Ilan Tzitrin and Rafael N. Alexander},
  journal= {arXiv preprint arXiv:2408.04126},
  year   = {2025}
}

Comments

20 pages, 4 figures, comments welcome