Non-commutative analysis for quantum computing

Project funded by Swedish Research Council (Project grant), grant 2023-04555_VR. Participating organisations named by the source: Chalmers University of Technology. Funded amount: SEK 3,600,000, as stated by the source. Runs 2024-01-01 to 2027-12-31. Keywords: Naturvetenskap, Natural Sciences, Matematik, Mathematics, Matematisk analys, Mathematical Analysis. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2025-12-06); national funding data, not CORDIS. Abstract given by the source: The future technological advancements very much rely on the development of quantum computing. Understanding its capabilities is one of the most important tasks which requires novel tools anchored across different disciplines. The project will concentrate on theoretical questions central to quantum information processing and use machinery of operator algebras and systems. In particular, we will investigate quantum no-signalling correlations with focus on the quantisation of synchronous correlations and their application to non-local game theory and quantum entanglement. Our results will allow to study non-commutative versions of the graph homomorphism and capture the colouring problem for quantum graphs and related capacities of quantum channels. We will exploit quantum non-local games and study their universal C*-algebras as well as their connection to the Connes Embedding Problem. We will establish expressions for values of quantum games, i.e. maximum success probabilities with possible applications to quantum cryptography. Another goal is to investigate different capacities of communication channels, in particular, the zero capacity for channels with memory that captures the classical zero-error capacity of a memoryless channel as a one-shot parameter. We will also study non-local games with memory and define their winning rate that extends the winning rate of a memoryless game, providing a one-shot view on this limit with high relevance in computer science and QIT.

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of Swedish Research Council. Retrieved 2026-10-22. Licence: Creative Commons Attribution 4.0 (OpenAIRE Graph). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: Creative Commons Attribution 4.0 (CC BY 4.0).

AI-assisted summary: A project funded by the Swedish Research Council, running from 2024 to 2027, investigates theoretical questions in quantum information processing using operator algebras and systems. Suggested technology pillar: computing. Generated by AI from the public source text; it may contain errors and the original source is authoritative.