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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 41207 (05)
- University: Sharif University of Technology
- Department: Electrical Engineering
- Advisor(s): Aref, Mohammad Reza; Karimipour, Vahid
- Abstract:
- Quantum cryptography can provide complete security. Using the quantum mechanics postulates, we can achieve a provable security which is not possible in classical cryptography. When the first completely secure protocol for distributing key was introduced, it turned a great deal of attention toward quantum cryptography and researcher focused on finding quantum mechanical counterpart of other classical cryptographic protocols. Among these protocols, quantum secret sharing is one of the most useful and important ones. In this thesis, first we introduce the basic postulates of quantum mechanics. Then, we introduce some known quantum secret sharing protocols and discuss their properties and security. Next, introducing the concept of state sharing, we explain a method to build all possible threshold schemes. After that, we described how to achieve all possible access structures using these threshold schemes. Using the concept of quantum carriers, we propose a new protocol to perform secret sharing securely. This protocol provides a method to share both classical and quantum secrets for a wide range of threshold schemes. Using quantum carrier enables us to share a secret using fewer multipartite entangled states. The proposed protocol can be used to obtain all the (k,n) schemes when 2k-1 is a prime number. In this protocol dealer can share pre-determined key. We investigate its security against some general attacks and show that in these attacks all the unauthorized attempts to achieve information about the secret is detected
- Keywords:
- Quantum Cryptography ; Access Structure ; Secret Sharing
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