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A unified approach to quantum de Finetti theorems and SoS rounding via geometric quantization

A unified approach to quantum de Finetti theorems and SoS rounding via geometric quantization

The sum-of-squares hierarchy of semidefinite programs has become a common tool for algorithm design in theoretical computer science, including problems in quantum information. In this work we study a connection between a Hermitian version of the SoS hierarchy, related to the quantum de Finetti theorem, and geometric quantization of compact …