Principles of Quantum Computation and Information: Basic tools and special topicsQuantum computation and information is a new, rapidly developing interdisciplinary field. Its fundamental concepts and central results may not be easily understood without facing numerous technical details.Building on the basic concepts introduced in Vol I, this second volume deals with various important aspects, both theoretical and experimental, of quantum computation and information in depth. The areas include quantum data compression, accessible information, entanglement concentration, limits to quantum computation due to decoherence, quantum error-correction, and the first experimental implementations of quantum information protocols. This volume also includes a selection of special topics: chaos and quantum to classical transition, quantum trajectories, quantum computation and quantum chaos, and the Zeno effect. |
Contents
Introduction to Quantum Mechanics | 257 |
6 | 259 |
Preface | 333 |
Copyright | |
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Common terms and phrases
Alice Alice and Bob ancillary qubits assume atom basis billiards bit-flip Bloch sphere C₁ cavity channel chaotic classical CNOT gate codewords corresponding decoherence decoherence-free defined denotes density matrix density operator described distribution dynamical chaos eigenstates eigenvalues electron encoding energy ensemble entanglement entropy environment evolution Exercise exponential fidelity decay flip frequency given Hamiltonian Hermitian Hilbert space implement initial interaction ions Kraus operators laser Let us consider levels Lyapunov Lyapunov exponent master equation matrix elements measurement motion noise Note obtain orthogonal oscillations p₁ parameters perturbation phase phase-flip photon POVM probability pulses pure quantum chaos quantum circuit quantum computation quantum error quantum gates quantum information quantum system qubit representation resonant Schmidt decomposition shown in Fig single single-qubit spin statistical subspace subsystem superoperator superposition teleportation theorem three-qubit trajectories transformation transition two-qubit unitary vector von Neumann entropy wave function