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.
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Quantum cryptography could well be the first application of quantum mechanics at the individual quanta level. The fast progress in theory and experiments over the recent years are reviewed, with emphasis on open questions and technological issues.
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 Emily Grumbling, Mark Horowitz - National Academies Press
Quantum mechanics provides the basis for a new paradigm of computing. First proposed in the 1980s as a way to improve computational modeling of quantum systems, the field of quantum computing has recently garnered significant attention ...