Quantum Theory

A Group Theoretic Approach to Quantum Information by Masahito Hayashi

By Masahito Hayashi

This booklet is the 1st one addressing quantum info from the perspective of workforce symmetry. Quantum platforms have a gaggle symmetrical constitution. This constitution permits to address systematically quantum info processing. in spite of the fact that, there isn't any different textbook targeting staff symmetry for quantum details even supposing there exist many textbooks for team illustration. After the mathematical education of quantum info, this ebook discusses quantum entanglement and its quantification by utilizing crew symmetry. staff symmetry vastly simplifies the calculation of a number of entanglement measures even though their calculations tend to be very tough to deal with. This booklet treats optimum details tactics together with quantum nation estimation, quantum kingdom cloning, estimation of staff motion and quantum channel and so on. often it's very tricky to derive the optimum quantum details procedures with out asymptotic environment of those subject matters. although, workforce symmetry permits to derive those optimum recommendations with no assuming the asymptotic surroundings. subsequent, this e-book addresses the quantum mistakes correcting code with the symmetric constitution of Weyl-Heisenberg teams. This constitution ends up in comprehend the quantum blunders correcting code systematically. eventually, this publication specializes in the quantum common info protocols by utilizing the crowd SU(d). This subject will be considered as a quantum model of the Csiszar-Korner's common coding idea with the sort procedure. the mandatory mathematical wisdom approximately workforce illustration is summarized within the significant other publication, workforce illustration for Quantum Theory. 

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