Cryptography and Quantum Computing

Cryptography has long been an essential tool in safeguarding digital communication and securing sensitive information. As technology has progressed, so has the complexity of the methods used to protect our data. In the wake of quantum computing's rise, traditional cryptographic systems face serious challenges, demanding a new understanding of how quantum algorithms could both undermine and enhance security.

Chapter 1: Basics of Cryptography

Chapter 1 deals with the Basics of Cryptography lays the groundwork by introducing classical cryptography, tracing its evolution from ancient ciphers to modern cryptosystems.

Chapter 2: Quantum Algorithms

In Chapter 2, readers are introduced to Quantum Algorithms, the principles of quantum mechanics relevant to computing, including qubits, superposition, and entanglement.

Chapter 3: Shor's Algorithm

Chapter 3 focuses on Shor's algorithm, a landmark quantum algorithm that threatens the security of widely used public-key cryptosystems like RSA and ECC.

Chapter 4: Grover's Algorithm

In Chapter 4, Grover's Algorithm is examined in the context of brute-force attacks on symmetric key cryptography.

Chapter 5: Simon's Algorithm

Chapter 5 focuses on Simon's Algorithm and its role in breaking cryptographic primitives through structure exploitation.

Chapter 6: Cryptographic Implications of Quantum Computing

In Chapter 6, a broader discussion about Cryptographic Implications of Quantum Computing is given on how quantum computing affects modern cryptographic systems.

Chapter 7: The Future of Cryptography

Finally, in Chapter 7, the future of cryptography in the quantum era is discussed.