One-Dimensional Lazy Quantum walk in Ternary System

Autor:	Saha, Amit, Mandal, Sudhindu Bikash, Saha, Debasri, Chakrabarti, Amlan
Rok vydání:	2020
Předmět:	Quantum Physics
Zdroj:	IEEE Transactions on Quantum Engineering ( Volume: 2) 2021
Druh dokumentu:	Working Paper
DOI:	10.1109/TQE.2021.3074707
Popis:	Quantum walks play an important role for developing quantum algorithms and quantum simulations. Here we present one dimensional three-state quantum walk(lazy quantum walk) and show its equivalence for circuit realization in ternary quantum logic for the first of its kind. Using an appropriate logical mapping of the position space on which a walker evolves onto the multi-qutrit states, we present efficient quantum circuits considering the nearest neighbour position space 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. Comment: 13 pages, 12 figures, and 10 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.09712 Zobrazit plný text záznamu View this record from Arxiv