Problems And Solutions In Quantum Computing And Quantum Information (2nd Edition)Quantum computing and quantum information are two of the fastest growing and most exciting research fields in physics. The possibilities of using the non-local behavior of quantum mechanics to factor integers in random polynomial time have also added to this new interest. This book supplies a collection of problems in quantum computing and quantum information together with their detailed solutions, which will prove to be invaluable to students as well as to research workers in these fields. All the important concepts and topics such as quantum gates and quantum circuits, entanglement, teleportation, Bell states, Bell inequality, Schmidt decomposition, quantum Fourier transform, magic gate, von Neumann entropy, quantum cryptography, quantum error correction, coherent states, squeezed states, POVM measurement, beam splitter and Kerr Hamilton operator are included. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. |
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Problems & Solutions in Quantum Computing & Quantum Information Willi-Hans Steeb,Yorick Hardy Limited preview - 2004 |
Common terms and phrases
algorithm Alice and Bob apply arbitrary beam splitter Bell basis bºb Bose annihilation operators Bose operators cloning coherent commutation relation complex numbers corresponding cosh(r decomposition defined denotes density matrix density operator described displacement operator eigenstates eigenvalues eigenvectors finite-dimensional Hilbert spaces Fock follows function gate given Hadamard Hamilton operator hermitian Hilbert space identity operator input linear operator log2 matrix representation measurement mode n x n matrix Neumann entropy normalized eigenvectors obtain orthogonal orthonormal basis parameter partial trace particle Pauli matrices Pauli spin matrices phase photon polarization probability Problem 12 quantum computing quantum Fourier transform qubit result scalar product Show Solution 11 space H standard basis teleportation UCNOT unit matrix unitary matrix unitary operator unitary transformation UNOT vector von Neumann entropy written