On Some Basic Aspects of Ternary Reversible and Quantum Computing
Claudio Moraga · 2014
This paper addresses basic aspects of reversible and quantum computing in the context of ternary systems. Ternary extensions of the Pauli matrices are presented and interactions with the Vilenkin-Chrestenson matrix are disclosed. The realization of extended ternary Toffoli gates under the Barenco et al. type of structure is shown not to be possible without ancillary lines, meanwhile a Sasanian-Wang-Perkowski type of structure leads to a five elementary gates realization. The presence of entanglement in ternary quantum computing is addressed and illustrated with an example.