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Quantum Computing
Beschreibung:
With explicit derivations, exercises, and selected solutions, this self-contained, classroom-tested book examines the theoretical aspects of quantum computing and focuses on several candidates of a working quantum computer, evaluating them according to the DiVincenzo criteria. It covers theoretical tools, such as vectors, matrices, quantum gates, and integral and Fourier transforms. The authors discuss how decoherence is an obstacle to the physical realization of a working quantum computer and how quantum error-correcting codes can sometimes overcome this. They also explore applications, including the ion trap quantum computer and the solid state realization of a quantum computer, at the forefront of the field.
FROM LINEAR ALGEBRA TO QUANTUM COMPUTING: Basics of Vectors and Matrices. Framework of Quantum Mechanics. Qubits and Quantum Key Distribution. Quantum Gates, Quantum Circuit, and Quantum Computer. Simple Quantum Algorithms. Quantum Integral Transforms. Grover's Search Algorithm. Shor's Factorization Algorithm. Decoherence. Quantum Error-Correcting Codes. Physical Realizations of Quantum Computing: DiVincenzo Criteria. NMR Quantum Computer. Trapped Ions. Quantum Computing with Neutral Atoms. Josephson Junction Qubits. Quantum Computing with Quantum Dots. Appendix. Index.
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