Mutual transformations of arbitrary ternary qubit trees by Clifford gates

TL;DR

This paper demonstrates that arbitrary ternary qubit trees with equal nodes can be transformed into each other or into a standard 1D chain representation using Clifford gates, facilitating quantum state manipulations.

Contribution

It introduces a method to transform ternary qubit trees into standard forms using Clifford gates, expanding the toolkit for quantum state transformations.

Findings

Ternary qubit trees can be transformed into each other via Clifford gates.

Such trees can be converted into a 1D chain representation.

Transformations preserve the number of nodes and enable standardization.

Abstract

It is shown that ternary qubit trees with the same number of nodes can be transformed by the naturally defined sequence of Clifford gates into each other or into standard representation as 1D chain corresponding to Jordan-Wigner transform.