ArticleNational science review2019
Universal bound on sampling bosons in linear optics and its computational implications.
Article in National science review, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Wigner Distribution Sets Universal Lower Bound for Quantum Advantage in Gaussian Boson Sampling.Entropy (Basel, Switzerland) · 2026Article
- Hybrid Boson Sampling.Entropy (Basel, Switzerland) · 2024Article
- Information processing at the speed of light.Frontiers of optoelectronics · 2024Review
- Towards the Simplest Model of Quantum Supremacy: Atomic Boson Sampling in a Box Trap.Entropy (Basel, Switzerland) · 2023Article
- Multi-Qubit Bose-Einstein Condensate Trap for Atomic Boson Sampling.Entropy (Basel, Switzerland) · 2022Article
- Unification of the Nature's Complexities via a Matrix Permanent-Critical Phenomena, Fractals, Quantum Computing, ♯P-Complexity.Entropy (Basel, Switzerland) · 2020Article
- A classical algorithm to mimic quantum decisions.National science review · 2019Article
- Generalized concurrence in boson sampling.Scientific reports · 2018Article
- Decoherence Control of Nitrogen-Vacancy Centers.Scientific reports · 2017Article
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Authors and funding
3 authors.
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Abstract
In linear optics, photons are scattered in a network through passive optical elements including beam splitters and phase shifters, leading to many intriguing applications in physics, such as Mach-Zehnder interferometry, the Hong-Ou-Mandel effect, and tests of fundamental quantum mechanics. Here we present the fundamental limit in the transition amplitudes of bosons, applicable to all physical linear optical networks. Apart from boson sampling, this transition bound results in many other interesting applications, including behaviors of Bose-Einstein condensates (BEC) in optical networks, counterparts of Hong-Ou-Mandel effects for multiple photons, and approximating permanents of matrices. In addition, this general bound implies the existence of a polynomial-time randomized algorithm for estimating the transition amplitudes of bosons, which represents a solution to an open problem raised by Aaronson and Hance (
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