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arXiv · 2107.14010

A quantum complexity approach to the Kirchberg Embedding Problem

Isaac Goldbring·Bradd Hart
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Abstract

The Kirchberg Embedding Problem (KEP) asks if every C*-algebra embeds into an ultrapower of the Cuntz algebra $\cal O_2$. Motivated by the recent refutation of the Connes Embedding Problem using the quantum complexity result MIP*=RE, we establish two quantum complexity consequences of a positive solution to KEP. Both results involve almost-commuting strategies to nonlocal games.

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Isaac Goldbring, Bradd Hart. 2021-07-27. A quantum complexity approach to the Kirchberg Embedding Problem. https://arxiv.org/abs/2107.14010

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