{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/information-theoretical-perspective-on-the","title":"Information theoretical perspective on the method of Entanglement Witnesses","arxiv_id":"2308.07744","date":"2023-08-15","proceeding":null,"authors":["Paulo J. Cavalcanti","Giovanni Scala","Antonio Mandarino","Cosmo Lupo"],"abstract":"We frame entanglement detection as a problem of random variable inference to introduce a quantitative method to measure and understand whether entanglement witnesses lead to an efficient procedure for that task. Hence we quantify how many bits of information a family of entanglement witnesses can infer about the entanglement of a given quantum state sample. The bits are computed in terms of the mutual information and we unveil there exists hidden information not \\emph{efficiently} processed. We show that there is more information in the expected value of the entanglement witnesses, i.e. $\\mathbb{E}[W]=\\langle W \\rangle_\\rho$ than in the sign of $\\mathbb{E}[W]$. This suggests that an entanglement witness can provide more information about the entanglement if for our decision boundary we compute a different functional of its expectation value, rather than $\\mathrm{sign}\\left(\\mathbb{E}\\right [ W ])$.","url_abs":"https://arxiv.org/abs/2308.07744v1","url_pdf":"https://arxiv.org/pdf/2308.07744v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"information-theoretical-perspective-on-the","repo_url":"https://github.com/pjcavalcanti/witnessinformation","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"pytorch","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}