A Group Theoretic Approach to Quantum Information by Masahito Hayashi

By Masahito Hayashi

This ebook is the 1st one addressing quantum info from the perspective of staff symmetry. Quantum structures have a bunch symmetrical constitution. This constitution allows to deal with systematically quantum details processing. although, there isn't any different textbook targeting staff symmetry for quantum details even supposing there exist many textbooks for team illustration. After the mathematical practise of quantum details, this publication discusses quantum entanglement and its quantification by utilizing crew symmetry. workforce symmetry significantly simplifies the calculation of numerous entanglement measures even though their calculations tend to be very tough to deal with. This booklet treats optimum info strategies together with quantum kingdom estimation, quantum kingdom cloning, estimation of workforce motion and quantum channel and so forth. frequently it's very tough to derive the optimum quantum details tactics with no asymptotic surroundings of those themes. despite the fact that, team symmetry permits to derive those optimum ideas with no assuming the asymptotic environment. subsequent, this booklet addresses the quantum errors correcting code with the symmetric constitution of Weyl-Heisenberg teams. This constitution ends up in comprehend the quantum blunders correcting code systematically. ultimately, this e-book makes a speciality of the quantum common details protocols by utilizing the crowd SU(d). This subject might be considered as a quantum model of the Csiszar-Korner's common coding conception with the sort approach. the necessary mathematical wisdom approximately staff illustration is summarized within the significant other ebook, crew illustration for Quantum Theory. 

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