{ "id": "2012.10738", "version": "v1", "published": "2020-12-19T16:58:28.000Z", "updated": "2020-12-19T16:58:28.000Z", "title": "nPhase retrieval by projections in R^2 requires 2n-2 projections", "authors": [ "Peter G. Casazza", "Dorsa Ghoreishi" ], "categories": [ "math.FA" ], "abstract": "We will answer the most significant open problem in real phase retrieval by projections by showing it requires at least $2n-2$ projections to do phase retrieval in $\\RR^n$.", "revisions": [ { "version": "v1", "updated": "2020-12-19T16:58:28.000Z" } ], "analyses": { "subjects": [ "42C15" ], "keywords": [ "projections", "nphase retrieval", "significant open problem", "real phase retrieval" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }