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