Non interactive Quantum Perfect and Statistical Zero Knowledge 1st edition by Hirotada Kobayashi ISBN 3540245872 9783540245872

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Product details:

ISBN 10:       3540245872
ISBN 13: 978-3540245872
Author:         Hirotada Kobayashi
 

Non interactive Quantum Perfect and Statistical Zero Knowledge 1st Table of contents:

1. Introduction

   1. 1.1 Overview of Zero Knowledge Proofs
   2. 1.2 Quantum vs Classical Zero Knowledge Proofs
   3. 1.3 Relevance and Applications of NI-QPZK and SZK
   4. 1.4 Structure of the Book

2. Fundamentals of Zero Knowledge Proofs

   1. 2.1 Classical Zero Knowledge Proofs: Definition and History
   2. 2.2 Perfect, Statistical, and Computational Zero Knowledge
   3. 2.3 Definitions and Properties of Zero Knowledge
   4. 2.4 Challenges in Zero Knowledge Protocols

3. Quantum Computing and Cryptography

   1. 3.1 Introduction to Quantum Computing
   2. 3.2 Quantum Cryptography Basics
   3. 3.3 Key Quantum Concepts Relevant to Zero Knowledge
   4. 3.4 Quantum Security Models and Threats

4. Non-Interactive Zero Knowledge Proofs

   1. 4.1 Definition and Evolution of Non-Interactive Proofs
   2. 4.2 Fiat-Shamir Heuristic in Classical Settings
   3. 4.3 Non-Interactive Quantum Proofs: Theoretical Foundations
   4. 4.4 Techniques for Achieving Non-Interactivity in Quantum Settings

5. Quantum Perfect Zero Knowledge (NI-QPZK)

   1. 5.1 Definition and Characterization of Perfect Zero Knowledge
   2. 5.2 Non-Interactive Perfect Zero Knowledge in Quantum Protocols
   3. 5.3 Applications of NI-QPZK in Quantum Cryptography
   4. 5.4 Security and Efficiency of NI-QPZK Protocols

6. Statistical Zero Knowledge (SZK)

   1. 6.1 Definition and Basics of Statistical Zero Knowledge
   2. 6.2 Differences Between Statistical and Perfect Zero Knowledge
   3. 6.3 Statistical Zero Knowledge in Classical vs. Quantum Contexts
   4. 6.4 Protocol Design and Optimization for SZK
   5. 6.5 Applications of SZK in Cryptography

7. Quantum Statistical Zero Knowledge Proofs (NI-QSZK)

   1. 7.1 Integrating Statistical Zero Knowledge with Quantum Systems
   2. 7.2 Protocols for Quantum SZK
   3. 7.3 Security Considerations in Quantum SZK
   4. 7.4 Quantum SZK in Modern Cryptographic Applications

8. Comparing Classical and Quantum Zero Knowledge Proofs

   1. 8.1 Advantages and Disadvantages of Quantum Approaches
   2. 8.2 Security Considerations: Quantum vs Classical
   3. 8.3 Complexity and Efficiency Analysis
   4. 8.4 Hybrid Approaches: Combining Classical and Quantum Zero Knowledge

9. Applications of NI-QPZK and SZK

   1. 9.1 Privacy-Preserving Cryptographic Protocols
   2. 9.2 Secure Multi-Party Computation
   3. 9.3 Quantum Authentication and Identity Verification
   4. 9.4 Blockchain and Quantum Security

10. Challenges and Open Problems

    1. 10.1 Current Challenges in Quantum Zero Knowledge Proofs
    2. 10.2 Open Problems in NI-QPZK and SZK Research
    3. 10.3 Future Directions in Quantum Cryptography

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