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New PDF release: A Group Theoretic Approach to Quantum Information

By Masahito Hayashi

ISBN-10: 3319452398

ISBN-13: 9783319452395

This booklet is the 1st one addressing quantum details from the perspective of workforce symmetry. Quantum structures have a bunch symmetrical constitution. This constitution allows to deal with systematically quantum info processing. in spite of the fact that, there isn't any different textbook concentrating on workforce symmetry for quantum details even supposing there exist many textbooks for workforce illustration. After the mathematical coaching of quantum details, this ebook discusses quantum entanglement and its quantification through the use of team symmetry. staff symmetry tremendously simplifies the calculation of numerous entanglement measures even supposing their calculations tend to be very tough to deal with. This booklet treats optimum details techniques together with quantum nation estimation, quantum kingdom cloning, estimation of workforce motion and quantum channel and so on. frequently it's very tough to derive the optimum quantum info techniques with out asymptotic environment of those issues. despite the fact that, workforce symmetry permits to derive those optimum strategies with out assuming the asymptotic surroundings. subsequent, this booklet addresses the quantum errors correcting code with the symmetric constitution of Weyl-Heisenberg teams. This constitution results in comprehend the quantum blunders correcting code systematically. ultimately, this ebook specializes in the quantum common details protocols by utilizing the gang SU(d). This subject might be considered as a quantum model of the Csiszar-Korner's common coding concept with the sort procedure. the mandatory mathematical wisdom approximately crew illustration is summarized within the better half ebook, staff illustration for Quantum Theory. 

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A Group Theoretic Approach to Quantum Information by Masahito Hayashi

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