Work

Stability of point spectrum for three-state quantum walks on a line

Year: 2014

Type: article

Abstract: Evolution operators of certain quantum walks possess, apart from the continuous part, also a point spectrum. The existence of eigenvalues and the corresponding stationary states lead to partial trapping of the walker in the vicinity of the origin. We analyze the stability of this feature for three-state quantum walks on a line subject to homogenous coin deformations. We find two classes of coin operators that preserve the point spectrum. These new classes of coins are generalizations of coins found previously by different methods and shed light on the rich spectrum of coins that can drive discrete-time quantum walks.

Source: Quantum Information and Computation

DOI: 10.26421/qic14.13-14-11

Authors: Martin Štefaňák, Iva Bezděková, Igor Jex, Stephen M. Barnett

Institutions: Czech Technical University in Prague, University of Glasgow

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Grantová Agentura České Republiky

Awards: Harnessing the Power of Quantum Walks, G208487928, Solvable models of quantum walks and their applications, G6476517040