Linear-Optical Quantum Computation with Arbitrary Error-Correcting Codes
Blayney W. Walshe, Ben Q. Baragiola, Hugo Ferretti, José Gefaell, Michael Vasmer, R. Weil, Takaya Matsuura, Thomas Jaeken, Giacomo Pantaleoni, Zhihua Han, Timo Hillmann, Nicolas C. Menicucci, Ilan Tzitrin, Rafael N. Alexander · Physical Review Letters · 2025
High-rate quantum error-correcting codes mitigate the imposing scale of fault-tolerant quantum computers but require efficient generation of nonlocal, 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.