Photon-loss threshold for classical simulability of Gaussian boson sampling · revision history

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Title
Photon-loss threshold for classical simulability of Gaussian boson sampling
Plain
Gaussian boson sampling sends squeezed light through a large optical network and records where photons arrive; it was used to claim quantum advantage. Losing photons makes the task easier for classical computers, and the loss level at which it becomes easy is not known exactly.
Precise
For Gaussian boson sampling with $M$ modes, $K$ single-mode squeezed inputs of squeezing r, a Haar-random interferometer and uniform transmission $\eta$, find the boundary $\eta_c(r, K, M)$ separating classically efficient sampling to fixed total-variation error from sampling hard under standard conjectures, as M, K go to $\infty$ at fixed ratio.
Settled by
A classical algorithm efficient below $\eta_c$ together with a hardness proof above it, for the same scaling family.
Kind
well-posed
Answer type
value
References
(empty)
Literature status
partially-resolved
Status note
Oh et al. (arXiv:2306.03709, Nature Physics 2024) simulated reported experiments by exploiting their loss; sufficient conditions for hardness of lossy GBS appeared in 2025 (arXiv:2511.07853).
Posed since
(empty)