Trazas aproximadas sobre grupos y la comunidad cuántica de la clase MIPco,s

An open question in quantum complexity theory is whether or not the class MIPco, consisting of languages that can be efficiently verified using interacting provers sharing quantum resources according to the quantum commuting model, coincides with the class coRE of languages with recursively enumerable complement. We introduce the notion of a qc-modulus, which encodes approximations to quantum commuting correlations, and show that the existence of a computable qc-modulus gives a negative answer to a natural variant of the aforementioned question.

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Magazine Portal Bibliotech Digital (Universidad Nacional de Colombia)
Published
2025-09-19
Primary Topic
Quantum Computing Algorithms and Architecture
Type
article
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article

Trazas aproximadas sobre grupos y la comunidad cuántica de la clase MIPco,s

Bradd Hart, Isaac Goldbring
Magazine Portal Bibliotech Digital (Universidad Nacional de Colombia)
Quantum Computing Algorithms and Architecture
article

Trazas aproximadas sobre grupos y la comunidad cuántica de la clase MIPco,s

Bradd Hart, Isaac Goldbring
article en

Abstract

An open question in quantum complexity theory is whether or not the class MIPco, consisting of languages that can be efficiently verified using interacting provers sharing quantum resources according to the quantum commuting model, coincides with the class coRE of languages with recursively enumerable complement. We introduce the notion of a qc-modulus, which encodes approximations to quantum commuting correlations, and show that the existence of a computable qc-modulus gives a negative answer to a natural variant of the aforementioned question.

Magazine Portal Bibliotech Digital (Universidad Nacional de Colombia)
University of California System (US), McMaster University (CA)
Openalex Percentile: Top 12%
Quantum Computing Algorithms and Architecture
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