Approaching Quantum Computing With a clear writing style and matter-of-fact approach, this rigorous yet accessible introduction to quantum computing is designed for readers with a solid mathematical background but limited knowledge of physics and quantum mechanics. Using a methodical approach and an abundance of worked examples, this handbook delivers a thorough introduction to the quantum circuit model, including the mathematical formalism required for quantum computing. Concentrates on the quantum circuit model to make complex subject matter more accessible. Provides a phenomenological introduction to quantum computing, encouraging readers to view the subject as a fundamentally new approach to computing. Detailed presentation of quantum algorithms demonstrates the logic behind the development of Deutsch's problem, quantum Fourier transform, Shor's factoring algorithm, Simon's algorithm for phase estimation, and discrete logarithms evaluation problems. For anyone interested in learning more about quantum computing. |
Contents
Introduction | 1 |
Quantum MechanicsA Mathematical Model of the Physical World | 43 |
Qubits and Their Physical Realization | 97 |
Copyright | |
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a₁ Alice and Bob angle atom axis basis vectors beam splitter binary bits Bloch sphere circuit in Figure classical computer CNOT gate communication channel complex numbers control qubit corresponding denoted detector discussed eigenvalues eigenvectors electron elements encoded energy entangled particles entropy equation experiment factor finite Fredkin gate function GCNOT Hadamard gate Hermitian Hilbert space inner product integer linear magnetic field measurement modulo momentum multiple n-dimensional observable operator orthogonal output pair particle1 performed photon physical system polarization polynomial probability amplitude problem properties quantum algorithms quantum circuit quantum computer quantum gate quantum information quantum mechanics quantum particles quantum system qubit real numbers represented result reversible rotation Schrödinger second qubit simulation single qubit slit spin string superposition target qubit tensor product Toffoli gate transfer matrix transmitted truth table Turing Machine two-qubit unitary variable vector space Walsh-Hadamard Transform wave απ αι