Quantum Algorithms via Linear Algebra: A Primer (MIT Press) by Richard J. Lipton,Kenneth W. Regan

By Richard J. Lipton,Kenneth W. Regan

This advent to quantum algorithms is concise yet entire, protecting many key algorithms. it's mathematically rigorous yet calls for minimum history and assumes no wisdom of quantum idea or quantum mechanics. The e-book explains quantum computation when it comes to effortless linear algebra; it assumes the reader can have a few familiarity with vectors, matrices, and their easy houses, yet bargains a evaluation of all of the appropriate fabric from linear algebra. by way of emphasizing computation and algorithms instead of physics, this primer makes quantum algorithms obtainable to scholars and researchers in machine technology with no the issues of quantum mechanical notation, actual suggestions, and philosophical issues.After explaining the improvement of quantum operations and computations in accordance with linear algebra, the booklet provides the foremost quantum algorithms, from seminal algorithms by means of Deutsch, Jozsa, and Simon via Shor's and Grover's algorithms to contemporary quantum walks. It covers quantum gates, computational complexity, and a few graph concept. Mathematical proofs are in general brief and simple; quantum circuits and gates are used to light up linear algebra; and the dialogue of complexity is anchored in computational difficulties instead of computer versions. Quantum Algorithms through Linear Algebra is acceptable for lecture room use or as a reference for computing device scientists and mathematicians.

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