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Download e-book for kindle: A Group Theoretic Approach to Quantum Information by Masahito Hayashi

By Masahito Hayashi

ISBN-10: 3319452398

ISBN-13: 9783319452395

This booklet is the 1st one addressing quantum details from the point of view of crew symmetry. Quantum platforms have a bunch symmetrical constitution. This constitution allows to deal with systematically quantum info processing. despite the fact that, there's no different textbook targeting crew symmetry for quantum info even though there exist many textbooks for staff illustration. After the mathematical instruction of quantum info, this e-book discusses quantum entanglement and its quantification through the use of workforce symmetry. crew symmetry greatly simplifies the calculation of numerous entanglement measures even though their calculations are typically very tough to deal with. This booklet treats optimum info approaches together with quantum kingdom estimation, quantum country cloning, estimation of crew motion and quantum channel and so on. frequently it's very tricky to derive the optimum quantum details techniques with out asymptotic surroundings of those subject matters. notwithstanding, crew symmetry permits to derive those optimum strategies with out assuming the asymptotic environment. subsequent, this e-book addresses the quantum errors correcting code with the symmetric constitution of Weyl-Heisenberg teams. This constitution results in comprehend the quantum mistakes correcting code systematically. ultimately, this booklet makes a speciality of the quantum common info protocols through the use of the crowd SU(d). This subject might be considered as a quantum model of the Csiszar-Korner's common coding idea with the sort strategy. the necessary mathematical wisdom approximately workforce illustration is summarized within the spouse e-book, team illustration for Quantum Theory. 

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A Group Theoretic Approach to Quantum Information by Masahito Hayashi

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