Get A Group Theoretic Approach to Quantum Information PDF

By Masahito Hayashi

ISBN-10: 3319452398

ISBN-13: 9783319452395

This e-book is the 1st one addressing quantum details from the point of view of team symmetry. Quantum platforms have a gaggle symmetrical constitution. This constitution permits to address systematically quantum details processing. even though, there's no different textbook concentrating on workforce symmetry for quantum details even though there exist many textbooks for workforce illustration. After the mathematical guidance of quantum details, this e-book discusses quantum entanglement and its quantification by utilizing team symmetry. crew symmetry greatly simplifies the calculation of numerous entanglement measures even though their calculations tend to be very tough to deal with. This e-book treats optimum info tactics together with quantum nation estimation, quantum country cloning, estimation of workforce motion and quantum channel and so on. often it's very tricky to derive the optimum quantum info techniques with out asymptotic surroundings of those subject matters. in spite of the fact that, team symmetry permits to derive those optimum recommendations with no assuming the asymptotic surroundings. subsequent, this publication addresses the quantum blunders correcting code with the symmetric constitution of Weyl-Heisenberg teams. This constitution results in comprehend the quantum blunders correcting code systematically. eventually, this ebook specializes in the quantum common info protocols through the use of the gang SU(d). This subject will be considered as a quantum model of the Csiszar-Korner's common coding thought with the sort approach. the necessary mathematical wisdom approximately workforce illustration is summarized within the better half publication, staff illustration for Quantum Theory. 

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A Group Theoretic Approach to Quantum Information by Masahito Hayashi

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