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Photon Loss Opens a Classical Path Through BosonSampling

A new algorithm efficiently approximates the lossy sampling distribution whenever any constant fraction of input photons survives, under the paper's random-interferometer conditions.

Published Updated Story ID: mp-2026-10-21-001
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Summary

A new algorithm efficiently approximates the lossy sampling distribution whenever any constant fraction of input photons survives, under the paper's random-interferometer conditions.

Photon loss has long been treated as an engineering tax on photonic quantum experiments. A new theoretical result makes it part of the complexity boundary. The authors give a polynomial-time classical algorithm that approximately samples fixed-loss BosonSampling when the number of surviving photons is any constant fraction of the input, with guarantees over Haar-random interferometers. They extend the result to uniform transmission loss at any fixed transmission rate. That substantially enlarges the provably simulable regime beyond earlier bounds tied to roughly square-root survival. The proof does not say every lossy photonic experiment is easy, nor does it reproduce a particular laboratory device. It says an experimentally relevant linear-survival regime can admit efficient classical simulation under the stated model—raising the bar for claims that photon survival alone preserves quantum advantage.

Why it matters

A new algorithm efficiently approximates the lossy sampling distribution whenever any constant fraction of input photons survives, under the paper's random-interferometer conditions.

Limits and context

  • The proof does not say every lossy photonic experiment is easy, nor does it reproduce a particular laboratory device.

Key claims

  1. A new algorithm efficiently approximates the lossy sampling distribution whenever any constant fraction of input photons survives, under the paper's random-interferometer conditions.

    Qualification: The proof does not say every lossy photonic experiment is easy, nor does it reproduce a particular laboratory device.

    Evidence: source-2026-10-21-001

Sources

  1. arXiv preprint 2610.27065, original v1arXiv · primary research

Corrections

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