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Related Experiment Video

Updated: Dec 9, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Classical simulation of boson sampling with sparse output.

Wojciech Roga¹, Masahiro Takeoka²

¹National Institute of Information and Communications Technology, Koganei, Tokyo, 184-8795, Japan. wojciech.roga@nict.go.jp.

Scientific Reports

|September 8, 2020

Summary

This summary is machine-generated.

This study presents classical methods for boson sampling, showing some problems are not classically intractable. These techniques efficiently find boson sampling distributions, impacting the understanding of classically calculable problems.

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Last Updated: Dec 9, 2025

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Published on: June 8, 2018

Area of Science:

Quantum computing
Computational complexity theory

Background:

Boson sampling is a quantum computation task.
It can simulate certain physical problems intractable for classical computers.

Purpose of the Study:

To develop classical methods for boson sampling.
To identify classically tractable boson sampling problems.
To understand the boundary between classical and quantum computational advantage.

Main Methods:

Explicit classical algorithms for sparse boson sampling distributions.
Compressive sensing techniques to recover full distributions.
Reduction of the problem to solving an Ising model.

Main Results:

Demonstration of polynomial-time classical solvability for sparse boson sampling.
Identification of conditions under which boson sampling is not classically intractable.
Exploration of extensions including quantum annealing.

Conclusions:

Boson sampling's advantage is limited to non-sparse problems.
Classical methods can efficiently solve certain boson sampling instances.
Hybrid approaches are suggested for intermediate sparsity.