{ "id": "2310.12838", "version": "v1", "published": "2023-10-19T15:42:01.000Z", "updated": "2023-10-19T15:42:01.000Z", "title": "Impossibility of adversarial self-testing and secure sampling", "authors": [ "Akshay Bansal", "Atul Singh Arora", "Thomas Van Himbeeck", "Jamie Sikora" ], "comment": "6 pages, 3 Figures", "categories": [ "quant-ph" ], "abstract": "Self-testing is the task where spatially separated Alice and Bob cooperate to deduce the inner workings of untrusted quantum devices by interacting with them in a classical manner. We examine the task above where Alice and Bob do not trust each other which we call adversarial self-testing. We show that adversarial self-testing implies secure sampling -- a task that we introduce where mistrustful Alice and Bob wish to sample from a joint probability distribution with the guarantee that an honest party's marginal is not biased. By extending impossibility results in two-party quantum cryptography, we give a simple proof that both of these tasks are impossible in all but trivial settings.", "revisions": [ { "version": "v1", "updated": "2023-10-19T15:42:01.000Z" } ], "analyses": { "keywords": [ "impossibility", "self-testing implies secure sampling", "joint probability distribution", "honest partys marginal", "adversarial self-testing implies secure" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }