by Michele Mosca
Publisher: arXiv 2008
Number of pages: 71
This text surveys the state of the art in quantum computer algorithms, including both black-box and non-black-box results. A representative sample of quantum algorithms is given. This includes a summary of the early quantum algorithms, a description of the Abelian Hidden Subgroup algorithms, quantum searching and amplitude amplification, quantum algorithms for simulating quantum mechanical systems, several non-trivial generalizations of the Abelian Hidden Subgroup Problem, the quantum walk paradigm for quantum algorithms, the paradigm of adiabatic algorithms, etc.
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An encyclopedia of everything quantum. Sections: Mathematical Structure; Quantum States; Evolution and Operations; Entanglement; Quantum Information Theory; Quantum Discord; Quantum Communication; Quantum Cryptography; Quantum Computation; etc.
by John Preskill - California Institute of Technology
We will study the properties that distinguish quantum information from classical information. And we will see how these properties can be exploited in the design of quantum algorithms that solve certain problems faster than classical algorithms can.
by Bing Qi, Li Qian, Hoi-Kwong Lo - arXiv
We present the principles behind quantum key distribution and discuss a few well-known QKD protocols. We focus more on the implementation of QKD protocols rather than security analysis. Another topic covered here is the security of QKD systems.
by Robert H. Schumann - arXiv
A short review of ideas in quantum information theory. Quantum mechanics is presented together with some useful tools for quantum mechanics of open systems. The treatment is pedagogical and suitable for beginning graduates in the field.