A Group Theoretic Approach to Quantum Information by Masahito Hayashi

By Masahito Hayashi

This booklet is the 1st one addressing quantum details from the perspective of team symmetry. Quantum platforms have a gaggle symmetrical constitution. This constitution allows to deal with systematically quantum info processing. notwithstanding, there is not any different textbook concentrating on workforce symmetry for quantum info even though there exist many textbooks for staff illustration. After the mathematical guidance of quantum details, this e-book discusses quantum entanglement and its quantification through the use of crew symmetry. crew symmetry greatly simplifies the calculation of a number of entanglement measures even if their calculations tend to be very tricky to deal with. This booklet treats optimum info procedures together with quantum country estimation, quantum country cloning, estimation of workforce motion and quantum channel and so forth. often it's very tricky to derive the optimum quantum info approaches with no asymptotic surroundings of those themes. even though, team symmetry permits to derive those optimum suggestions with out assuming the asymptotic environment. subsequent, this publication addresses the quantum blunders correcting code with the symmetric constitution of Weyl-Heisenberg teams. This constitution ends up in comprehend the quantum blunders correcting code systematically. eventually, this ebook makes a speciality of the quantum common details protocols by utilizing the gang SU(d). This subject could be considered as a quantum model of the Csiszar-Korner's common coding conception with the kind technique. the necessary mathematical wisdom approximately workforce illustration is summarized within the spouse booklet, staff illustration for Quantum Theory. 

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