TY - BOOK AU - Pathak,Anirban TI - Elements of quantum computation and quantum communication SN - 1466517913 AV - QA76.889 .P37835 2013 U1 - 004.1 P273E 23 PY - 2016/// CY - Boca Raton, FL PB - CRC Press KW - Quantum computers KW - Quantum communication KW - Quantum theory KW - Mathematics KW - MATHEMATICS KW - General KW - bisacsh KW - Advanced KW - SCIENCE KW - Quantum Theory KW - fast KW - local KW - Quantum theory / Mathematics KW - Electronic books N1 - Includes bibliographical references;
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.
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