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Quantum computing : a beginner's introduction / Parag K. Lala

Author
Lala, Parag K., 1948-
Published
New York : McGraw-Hill Education, [2019]
Physical Description
viii, 168 pages ; 23 cm

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Contents
Machine generated contents note: 1.Complex Numbers, Vector Space, and Dirac Notation -- 1.1.Complex Numbers -- 1.2.Complex Conjugation -- 1.3.Vector Space -- 1.4.Basis Set -- 1.5.Dirac Notation -- 1.5.1.Ket -- 1.5.2.Bra -- 1.6.Inner Product -- 1.7.Linearly Dependent and Independent Vectors -- 1.8.Dual Vector Space -- 1.9.Computational Basis -- 1.10.Outer Product -- References -- 2.Basics of Quantum Mechanics -- 2.1.Limitations of Classical Physics -- 2.1.1.Blackbody Radiation -- 2.1.2.Planck's Constant -- 2.2.Photoelectric Effect -- 2.3.Classical Electromagnetic Theory -- 2.4.Rutherford's Model of the Atom -- 2.5.Bohr's Model of Atoms -- 2.6.Particle and Wave Nature of Light -- 2.7.Wave Function -- 2.8.Postulates of Quantum Mechanics -- References -- 3.Matrices and Operators -- 3.1.Matrices -- 3.2.Square Matrices -- 3.3.Diagonal (or Triangular) Matrix -- 3.4.Operators -- 3.4.1.Rules for Operators -- 3.5.Linear Operator -- 3.6.Commutator -- 3.7.Matrix Representation of a Linear Operator -- 3.8.Symmetric Matrix -- 3.9.Transpose Operation -- 3.10.Orthogonal Matrices -- 3.11.Identity Operator -- 3.12.Adjoint Operator -- 3.13.Hermitian Operator -- 3.14.Unitary Operators -- 3.14.1.Properties of Unitary Operators -- 3.15.Projection Operator -- References -- 4.Boolean Algebra, Logic Gates, and Quantum Information Processing -- 4.1.Boolean Algebra -- 4.2.Classical Circuit Computation Model -- 4.3.Universal Logic Gates -- 4.4.Quantum Computation -- 4.5.The Quantum Bit and Its Representations -- 4.6.Superposition in Quantum Systems -- 4.7.Quantum Register -- References -- 5.Quantum Gates and Circuits -- 5.1.X Gate -- 5.2.Y Gate -- 5.3.Z Gate -- 5.4.NOT (Square Root of NOT) Gate -- 5.5.Hadamard Gate -- 5.6.Phase Gate -- 5.7.T Gate -- 5.8.Reversible Logic -- 5.9.CNOT Gate -- 5.10.Controlled-U Gate -- 5.11.Reversible Gates -- 5.11.1.Fredkin Gate (Controlled Swap Gate) -- 5.11.2.Toffoli Gate (Controlled-Controlled-NOT) -- 5.11.3.Peres Gate -- References -- 6.Tensor Products, Superposition, and Quantum Entanglement -- 6.1.Tensor Products -- 6.2.Multi-Qubit Systems -- 6.3.Superposition -- 6.4.Entanglement -- 6.5.Decoherence -- References -- 7.Teleportation and Superdense Coding -- 7.1.Quantum Teleportation -- 7.2.No-Cloning Theorem -- 7.3.Superdense Coding -- References -- 8.Quantum Error Correction -- 8.1.Classical Error-Correcting Codes -- 8.2.Quantum Error-Correcting Codes -- 8.3.Shor's 3-Qubit Bit-Flop Code -- 8.4.Error Correction -- 8.4.1.Bit-Flip Error Correction -- 8.4.2.Phase Error Correction -- 8.5.Shor's 9 Qubit Code -- References -- 9.Quantum Algorithms -- 9.1.Deutsch's Algorithm -- 9.2.Deutsch--Jozsa Algorithm -- 9.3.Graver's Search Algorithm -- 9.3.1.Details of Graver's Algorithm -- 9.4.Shor's Factoring Algorithm -- References -- 10.Quantum Cryptography -- 10.1.Principles of Information Security -- 10.2.One-Tune Pad -- 10.3.Public Key Cryptography -- 10.4.RSA Coding Scheme -- 10.5.Quantum Cryptography -- 10.6.Quantum Key Distribution -- 10.7.BB84 -- 10.8.Ekart 91 -- References.
Subject(s)
ISBN
9781260123111 paperback
1260123111 paperback
Bibliography Note
Includes bibliographical references and index.
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