2013 | OriginalPaper | Buchkapitel
Feasibility and Completeness of Cryptographic Tasks in the Quantum World
verfasst von : Serge Fehr, Jonathan Katz, Fang Song, Hong-Sheng Zhou, Vassilis Zikas
Erschienen in: Theory of Cryptography
Verlag: Springer Berlin Heidelberg
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It is known that cryptographic feasibility results can change by moving from the classical to the quantum world. With this in mind, we study the feasibility of realizing functionalities in the framework of universal composability, with respect to both computational and information-theoretic security. With respect to computational security, we show that existing feasibility results
carry over unchanged
from the classical to the quantum world; a functionality is “trivial” (i.e., can be realized without setup) in the quantum world if and only if it is trivial in the classical world. The same holds with regard to functionalities that are
complete
(i.e., can be used to realize arbitrary other functionalities).
In the information-theoretic setting, the quantum and classical worlds differ. In the quantum world, functionalities in the class we consider are either complete, trivial, or belong to a family of simultaneous-exchange functionalities (e.g., XOR). However, other results in the information-theoretic setting remain roughly unchanged.