Efficient classical algorithm for estimating linear statistics of Boson Sampling

arXiv:2609.35447 · quant-ph · Submitted 2026-09-28 · Read on arXiv

quant-ph

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Gaussian Boson Sampling — 16× in this paper
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Anticoncentration — 2× in this paper · explained in 1 episode
• BQP — 2× in this paper · explained in 2 episodes
• Core — 2× in this paper · explained in 2 episodes
• Sample Complexity — 2× in this paper · explained in 15 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Additive error estimation — 1× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• General framework for anticoncentration and linear cross-entropy benchmarking in photonic quantum advantage experiments
• Boson sampling beyond the dilute regime: second moments and anti-concentration
• Classical simulation and model concentration in passive linear optics
• Classical algorithms for estimating expectation values in linear-optical circuits
• Shedding light on classical shadows: learning photonic quantum states
• Exponentially-improved effective descriptions of physical bosonic systems

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