Elements of quantum computation and quantum communication /

Introduction and Overview
What is information?
Why do we need to know how to manage information?
A brief history of quantum computation and quantum communication

Basic Ideas of Classical and Quantum Computational Models and Complexity Classes
Elementary idea of complexity of an algorithm
Turing machine
Circuit model of computation
Computational complexity and related issues

Mathematical Tools and Simple Quantum Mechanics Required for Quantum Computing
A little bit of algebra required for quantum computing
A little bit of quantum mechanics
A little more of algebra for quantum computing

Quantum Gates and Quantum Circuits
Single qubit gates
Two qubit gates
Three qubit gates
A little more on quantum gates
Quantum circuits
Discussion

Quantum Algorithms
Deutsch's algorithm
Deutsch Jozsa (DJ) algorithm
Grover’s algorithm
Simon’s algorithm
Shor’s algorithm
Solution of Pell's equation and the principal ideal problem
Discussion

Quantum Error Correction
Quantum error correction
Basic idea of an error model
A little more on quantum error correction
Decoherence and decoherence free subspace
DiVincenzo criteria

Quantum Teleportation and Superdense Coding
Different types of teleportation schemes
A simple scheme for perfect teleportation
Probabilistic teleportation
Controlled teleportation or quantum information splitting
Modified teleportation schemes
Superdense coding

Quantum Cryptography
Jargon related to cryptography
Some interesting classical ciphers
Different aspects of quantum cryptography
Let us develop protocols of QKD
Protocol 5: B92 protocol
GV protocol: QKD with orthogonal states
Ping-pong and modified ping-pong protocols
DLL and modified DLL protocols
DSQC protocol and its modifications
Protocols of quantum dialogue
Protocol 18: Quantum secret sharing
Discussion

Solved Examples, Further Readings, and Exercises appear at the end of each chapter.