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We also propose a QCA architecture we call high-dimensional GBS, which is programmable and can be implemented with low loss using few optical components. We provide evidence for the hardness of GBS, comparable to the strongest theoretical proposals for QCA. In this work, we make progress in improving both the theoretical evidence and experimental prospects.

Theoretically, there is a comparative lack of rigorous evidence for the classical hardness of GBS. Experimentally, current implementations of Gaussian boson sampling (GBS) lack programmability or have prohibitive loss rates. Despite this promise, existing proposals and demonstrations face challenges. Photonics is a promising platform for demonstrating a quantum computational advantage (QCA) by outperforming the most powerful classical supercomputers on a well-defined computational task. Haoyu Qi, Conceptualization, Methodology, Project administration, Software, Supervision, Validation, Writing - original draft,ĭominik Hangleiter, Conceptualization, Formal analysis, Investigation, Methodology, Validation, Writing - review & editing,īill Fefferman, Conceptualization, Investigation, Methodology, Project administration, Supervision, Validation, Visualization, Writing - original draft, Writing - review & editing,Īnd Ish Dhand, Conceptualization, Funding acquisition, Methodology, Project administration, Supervision, Writing - original draft, Writing - review & editing Jonathan Lavoie, Conceptualization, Investigation, Methodology, Validation,

Lars Madsen, Formal analysis, Methodology, Validation, Writing - review & editing, Marios Ioannou, Conceptualization, Formal analysis, Writing - original draft, Writing - review & editing, Marcel Hinsche, Data curation, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing - original draft, Writing - review & editing, Nicolás Quesada, Conceptualization, Formal analysis, Methodology, Software, Visualization, Writing - original draft, , † Arthur Mehta, Conceptualization, Formal analysis, Methodology, Writing - original draft, Abhinav Deshpande, Conceptualization, Methodology, Project administration, Validation, Visualization, Writing - original draft, Writing - review & editing,