  Ternary quantum systems are being studied because these provide more
computational state space per unit of information, known as qutrit. A qutrit
has three basis states, thus a qubit may be considered as a special case of a
qutrit where the coefficient of one of the basis states is zero. Hence both $(2
\times 2)$-dimensional as well as $(3 \times 3)$-dimensional Pauli errors can
occur on qutrits. In this paper, we (i) explore the possible $(2 \times
2)$-dimensional as well as $(3 \times 3)$-dimensional Pauli errors in qutrits
and show that any pairwise bit swap error can be expressed as a linear
combination of shift errors and phase errors, (ii) propose a new type of error
called quantum superposition error and show its equivalence to arbitrary
rotation, (iii) formulate a nine qutrit code which can correct a single error
in a qutrit, and (iv) provide its stabilizer and circuit realization.
