Problems And Solutions In Quantum Computing And Quantum Information (4th Edition)
'This is a very useful book which helps to understand the concepts of quantum computing and quantum information by well presented problems and detailed solutions … It is highly recommended for beginners as well as for advanced researchers.'zbMATHQuantum computing and quantum information are two of the fastest growing and most exciting research fields in physics. Entanglement, teleportation and the possibility 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 presents a huge 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 researchers in these fields. Each chapter gives a comprehensive introduction to the topics. All the important concepts and areas such as quantum gates and quantum circuits, product Hilbert spaces, entanglement and entanglement measures, teleportation, Bell states, Bell measurement, Bell inequality, Schmidt decomposition, quantum Fourier transform, magic gate, von Neumann entropy, quantum cryptography, quantum error corrections, quantum games, number states and Bose operators, coherent states, squeezed states, Gaussian states, coherent Bell states, POVM measurement, quantum optics networks, beam splitter, phase shifter and Kerr Hamilton operator are included. A chapter on quantum channels has also been added. Furthermore a chapter on boolean functions and quantum gates with mapping bits to qubits is 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. Each chapter also contains supplementary problems to challenge the reader. Programming problems with Maxima and SymbolicC++ implementations are also provided.
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Alice annihilation operators apply arbitrary Assume Bell Calculate called coherent commutator complex condition Consequently Consider corresponding cout defined denotes density matrix density operator described determine Discuss eigenvalues endl entangled equal equation error example Express field follows function gate given Hamilton operator hermitian matrix Hilbert space identity operator inequality input invertible kronecker_product measurement mode n x n matrix normalized normalized eigenvectors Note obtain orthonormal basis outcome output parameter partial Pauli spin matrices permutation phase photon positive probability Problems Problem projection provides pure quantum qubit relation representation respectively result satisfy Show side Solution Solved squeezed standard basis Symbolic trace transform transpose unit unitary matrix unitary operator vector write written yields