Quantum Information

Foreword.- Section 1 Qubits: Quantum state purity.- The representation of qubits.- Stokes parameters.- Single-qubit gates.- The double-slit experiment.- The Mach-Zehnder interferometer.- Multiple qubits.- Section 2 Measurements and quantum operations: The von Neumann classification of processes.- The Pauli classification of measurements.- Maximal measurements and expectation values.- The Lueders rule and non-selective measurements.- Reduced statistical operators.- General operations.- Positive operator valued measures.- Section 3 Quantum non-locality and interferometry: Hidden variables and state completeness.- Von Neumann's 'no-go' theorem.- The Einstein-Podolsky-Rosen argument.- Gleason's theorem.- Bell inequalities.- Interferometric complementarity.- The Franson interferometer.- Two-qubit quantum gates.- Section 4 Classical information and communication: Communication channels.- Shannon entropy.- Renyi entropy.- Coding.- Error correction.- Data compression.- Communication complexity.- Section 5 Quantum information: Quantum entropy.- Quantum relative and conditional entropies.- Quantum mutual information.- Coherent information.- Quantum Renyi and Tsallis entropies.- Section 6 Quantum entanglement: Basic definitions.- The Schmidt decomposition.- Special bases and decompositions.- Stokes parameters and entanglement.- Partial transpose and reduction criteria.- The 'fundamental postulate'.- Entanglement monotones.- Distillation and bound entanglement.- Entanglement and majorization.- Concurrence.- Entanglement witnesses.- Entanglement as a resource.- The thermodynamic analogy.- Information and the foundations of physics.- The geometry of entanglement.- Creating entangled states of light.- Section 7 Entangled multipartite systems.- Stokes and correlation tensors.- N-tangle.- Generalized Schmidt decomposition.- Lorentz-group isometries.- Entanglement classes.- Algebraic invariants of multipartite systems.- Three-qubit states and residual tangle.- Three-qubit quantum

Dr. Jaeger is a professor at Boston University, where he earned his Ph.D. in Physics with Abner Shimony in 1995. He has published in a number of areas, including quantum computing, quantum cryptography, foundations of quantum mechanics, quantum metrology, and the history and philosophy of science. He was worked in academia and industry in the United States and Europe as a research director and investigator in quantum information science and quantum metrology. As a member of the Quantum Imaging Laboratory at Boston University's Photonics Center, along with colleagues at Harvard University and BBN Technologies, he helped build the world's first practical metropolitan area quantum cryptographic network, the DARPA Quantum Network Test-bed, serving as principal quantum entanglement theorist.

From the reviews:



"This is a comprehensive overview of quantum information, including computation, communication and cryptography. ... The bibliography is extremely comprehensive. The book can be recommended as a useful resource for researchers in any area of quantum information, including those who are familiar with one topic and wish to enter another." (Simon J. Gay, Mathematical Reviews, Issue 2009 c)

"As the title states, this book provides a concise overview over quantum information theory ... . This is ... a nice book which can be recommended to researchers in other fields who wants to get a fast and sound overview over the subject. It is also suitable for students learning quantum information theory ... . For researchers working in quantum information theory it ... can serve as a compact reference book." (Michael Keyl, Zentralblatt MATH, Vol. 1166, 2009)