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We demonstrate that the framework of bounded quantum reference frames hasapplication to building quantum-public-key cryptographic protocols and provingtheir security. Thus, the framework we introduce can be seen as a public-keyanalogue of the framework of Bartlett et al. (Phys. Rev. A 70, 032307), where aprivate shared reference frame is shown to have cryptographic application. Theprotocol we present in this paper is an identification scheme, which, like adigital signature scheme, is a type of authentication scheme. We prove that ourprotocol is both reusable and secure under the honest-verifier assumption.Thus, we also demonstrate that secure reusable quantum-public-keyauthentication is possible to some extent.

Public-key cryptography based on bounded quantum reference frames