Clifford Algebras, Spin Groups and Qubit Trees

Representations of Spin groups and Clifford algebras derived from the structure qubit trees are introduced in this work. For ternary construction is more general reduction to binary formally defined by deletion superfluous branches. The usual Jordan--Wigner also may be obtained approach bringing process up trivial chain (trunk). methods can used for effective simulation some quantum circuits corresponding tree structure. modeling trees, as well relationship with mapping Bravyi--Kitaev transformation, briefly discussed.