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Princess I Division

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Sibyl Fendley
Sibyl Fendley

Quantum Protocol Free Download

Quantum Protocol Free Download >>>

Quantum Protocol Free Download

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In this paper, we defined a new secure multi-party computation problem, called Oblivious Set-member Decision problem, which allows one party to decide whether a secret of another party belongs to his private set in an oblivious manner. There are lots of important applications of Oblivious Set-member Decision problem in fields of the multi-party collaborative computation of protecting the privacy of the users, such as private set intersection and union, anonymous authentication, electronic voting and electronic auction. Furthermore, we presented two quantum protocols to solve the Oblivious Set-member Decision problem. Protocol I takes advantage of powerful quantum oracle operations so that it needs lower costs in both communication and computation complexity; while Protocol II takes photons as quantum resources and only performs simple single-particle projective measurements, thus it is more feasible with the present technology.

Cryptography is an important tool that enables the secure transmission of a secret message between a sender and a recipient from any potential eavesdropper. On the one hand, however, the security of most classical cryptosystems is based on the assumption of computational complexity, which is strongly challenged by the increasing capability of computations or algorithms1,2. Especially, it is believed that some mathematical difficulties, e.g. the integer factorization or the discrete logarithm problems, may be fragile in the future with the presence of quantum computers. On the other hand, fortunately, this difficulty can be overcome by quantum cryptography3,4, where the security is guaranteed by physical principles. Since Bennett and Brassard presented the first quantum key distribution protocol5, quantum cryptography has been widely studied and rapidly developed. Accordingly, a lot of results have been gained, such as quantum key distribution6, quantum teleportation7, quantum signature8 and other novel quantum computations9.

In next section, inspired by the QPQ protocols mentioned above, we proposed two quantum protocols for Oblivious Set-member Decision problem, which one subtly applies the powerful quantum oracle operations, while the other utilizes the asymmetric key between Alice and Bob based on the technologies of Quantum Key Distribution.

We have analyzed the security of proposed protocols. However, please note that we mainly consider the honest-but-curious parties21 in our protocols, which is similar to the semi-honesty model in the classical settings. In classical settings, any secure protocol in semi-honesty model can be correspondingly translated into a secure protocol in malicious model. However, it still needs to further study how to translate a protocol from semi-honesty model to malicious model in quantum settings. It is also our future work (especially, the definition of malicious model in quantum settings).

Here, we give a simple comparison of our proposed protocols with the related QPQ protocols. In Protocol I, we follow some ideas from QPQ in refs 10,12 to introduce two quantum oracles. However, com


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