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Elements of quantum computation and quantum communication / Anirban Pathak.

By: Publication details: Boca Raton, FL : CRC Press, 2016.Description: xv, 322 p. illustrationsISBN:
  • 1466517913
  • 9781498767491 (Pbk)
Subject(s): Genre/Form: DDC classification:
  • 004.1 P273E 23
LOC classification:
  • QA76.889 .P37835 2013
Contents:
<P><STRONG>Introduction and Overview <BR></STRONG>What is information? <BR>Why do we need to know how to manage information? <BR>A brief history of quantum computation and quantum communication</P><P></P><P><STRONG>Basic Ideas of Classical and Quantum Computational Models and Complexity Classes <BR></STRONG>Elementary idea of complexity of an algorithm <BR>Turing machine <BR>Circuit model of computation <BR>Computational complexity and related issues</P><P></P><P><STRONG>Mathematical Tools and Simple Quantum Mechanics Required for Quantum Computing <BR></STRONG>A little bit of algebra required for quantum computing<BR>A little bit of quantum mechanics<BR>A little more of algebra for quantum computing</P><P></P><P><STRONG>Quantum Gates and Quantum Circuits <BR></STRONG>Single qubit gates <BR>Two qubit gates <BR>Three qubit gates <BR>A little more on quantum gates <BR>Quantum circuits<BR>Discussion</P><P></P><P><STRONG>Quantum Algorithms <BR></STRONG>Deutsch's algorithm <BR>Deutsch
Jozsa (DJ) algorithm <BR>Grover’s algorithm <BR>Simon’s algorithm<BR>Shor’s algorithm<BR>Solution of Pell's equation and the principal ideal problem <BR>Discussion</P><P></P><P><STRONG>Quantum Error Correction <BR></STRONG>Quantum error correction <BR>Basic idea of an error model<BR>A little more on quantum error correction<BR>Decoherence and decoherence free subspace <BR>DiVincenzo criteria</P><P></P><P><STRONG>Quantum Teleportation and Superdense Coding <BR></STRONG>Different types of teleportation schemes <BR>A simple scheme for perfect teleportation <BR>Probabilistic teleportation <BR>Controlled teleportation or quantum information splitting<BR>Modified teleportation schemes<BR>Superdense coding</P><P></P><P><STRONG>Quantum Cryptography <BR></STRONG>Jargon related to cryptography <BR>Some interesting classical ciphers <BR>Different aspects of quantum cryptography <BR>Let us develop protocols of QKD<BR>Protocol 5: B92 protocol <BR>GV protocol: QKD with orthogonal states
<BR>Ping-pong and modified ping-pong protocols<BR>DLL and modified DLL protocols <BR>DSQC protocol and its modifications <BR>Protocols of quantum dialogue <BR>Protocol 18: Quantum secret sharing <BR>Discussion</P><P></P><P><EM>Solved Examples, Further Readings, and Exercises appear at the end of each chapter.</EM></P>
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Includes bibliographical references.

<P><STRONG>Introduction and Overview <BR></STRONG>What is information? <BR>Why do we need to know how to manage information? <BR>A brief history of quantum computation and quantum communication</P><P></P><P><STRONG>Basic Ideas of Classical and Quantum Computational Models and Complexity Classes <BR></STRONG>Elementary idea of complexity of an algorithm <BR>Turing machine <BR>Circuit model of computation <BR>Computational complexity and related issues</P><P></P><P><STRONG>Mathematical Tools and Simple Quantum Mechanics Required for Quantum Computing <BR></STRONG>A little bit of algebra required for quantum computing<BR>A little bit of quantum mechanics<BR>A little more of algebra for quantum computing</P><P></P><P><STRONG>Quantum Gates and Quantum Circuits <BR></STRONG>Single qubit gates <BR>Two qubit gates <BR>Three qubit gates <BR>A little more on quantum gates <BR>Quantum circuits<BR>Discussion</P><P></P><P><STRONG>Quantum Algorithms <BR></STRONG>Deutsch's algorithm <BR>Deutsch

Jozsa (DJ) algorithm <BR>Grover’s algorithm <BR>Simon’s algorithm<BR>Shor’s algorithm<BR>Solution of Pell's equation and the principal ideal problem <BR>Discussion</P><P></P><P><STRONG>Quantum Error Correction <BR></STRONG>Quantum error correction <BR>Basic idea of an error model<BR>A little more on quantum error correction<BR>Decoherence and decoherence free subspace <BR>DiVincenzo criteria</P><P></P><P><STRONG>Quantum Teleportation and Superdense Coding <BR></STRONG>Different types of teleportation schemes <BR>A simple scheme for perfect teleportation <BR>Probabilistic teleportation <BR>Controlled teleportation or quantum information splitting<BR>Modified teleportation schemes<BR>Superdense coding</P><P></P><P><STRONG>Quantum Cryptography <BR></STRONG>Jargon related to cryptography <BR>Some interesting classical ciphers <BR>Different aspects of quantum cryptography <BR>Let us develop protocols of QKD<BR>Protocol 5: B92 protocol <BR>GV protocol: QKD with orthogonal states

<BR>Ping-pong and modified ping-pong protocols<BR>DLL and modified DLL protocols <BR>DSQC protocol and its modifications <BR>Protocols of quantum dialogue <BR>Protocol 18: Quantum secret sharing <BR>Discussion</P><P></P><P><EM>Solved Examples, Further Readings, and Exercises appear at the end of each chapter.</EM></P>

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