Work

One-Dimensional Lazy Quantum Walk in Ternary System

Year: 2021

Type: article

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

Source: IEEE Transactions on Quantum Engineering

DOI: 10.1109/tqe.2021.3074707

Authors: Amit Saha, Sudhindu Bikash Mandal, Debasri Saha, Amlan Chakrabarti

Institution: University of Calcutta

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,750

Funders: Council of Scientific and Industrial Research, India, Bangladesh Council of Scientific and Industrial Research