A. Vlasov. (2019)cite arxiv:1904.09912Comment: LaTeX 12pt, 29 pages, 6 figures. v2: minor typo. Comments are welcome.
Representations of Spin groups and Clifford algebras derived from structure
of qubit trees are introduced in this work. For ternary trees the construction
is more general and reduction to binary trees is formally defined by deleting
of superfluous branches. Usual Jordan-Wigner construction also may be formally
obtained in such approach by bringing the process up to trivial qubit chain
("trunk"). The methods can be also used for effective simulations of some
quantum circuits corresponding to the binary tree structure.