Ito’s Formula for the Discrete-Time Quantum Walk in Two Dimensions - Journal of Quantum Information Science

JQIS > Vol.2 No.2, June 2012

Ito’s Formula for the Discrete-Time Quantum Walk in Two Dimensions ()

HTML

Download as PDF (Size: 169KB) PP. 41-47

DOI: 10.4236/jqis.2012.22008 3,975 Downloads 7,703 Views Citations

Author(s)

Clement Ampadu

Affiliation(s)

31 Carrolton Road, Boston, USA.

ABSTRACT

Following Konno [1], it is natural to ask: What is the Ito’s formula for the discrete time quantum walk on a graph different than Z, the set of integers? In this paper we answer the question for the discrete time quantum walk on Z2, the square lattice.

KEYWORDS

Quantum Random Walk; Ito’s Formula; Brownian Motion

Share and Cite:

C. Ampadu, "Ito’s Formula for the Discrete-Time Quantum Walk in Two Dimensions," Journal of Quantum Information Science, Vol. 2 No. 2, 2012, pp. 41-47. doi: 10.4236/jqis.2012.22008.

Journals Menu