One-Dimensional Lazy Quantum Walk in Ternary System

Quantum walks play an important role for developing quantum algorithms and simulations. Here, we introduce a first of its kind one-dimensional lazy walk in the ternary domain show equivalence circuit realization logic. Using appropriate logical mapping position space on which walker evolves onto multiqutrit states, present efficient circuits implementation system. We also address scalability terms $n$ -qutrit system with example three-qutrit state space.