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Quantum-walk search in motion

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Author(s):
Sahu, Himanshu ; Sen, Kallol
Total Authors: 2
Document type: Journal article
Source: SCIENTIFIC REPORTS; v. 14, n. 1, p. 15-pg., 2024-02-02.
Abstract

In quantum computing, the quantum walk search algorithm is designed for locating fixed marked nodes within a graph. However, when multiple marked nodes exist, the conventional search algorithm lacks the capacity to simultaneously amplify the marked nodes as well as identify the correct chronological ordering between the marked nodes, if any. To address this limitation, we explore a potential extension of the algorithm by introducing additional quantum states to label the marked nodes. The labels resolve the ambiguity of simultaneous amplification of the marked nodes. Additionally, by associating the label states with a chronological ordering, we can extend the algorithm to track a moving particle on a two-dimensional surface. Our algorithm efficiently searches for the trajectory of the particle and is supported by a proposed quantum circuit. This concept holds promise for a range of applications, from real-time object tracking to network management and routing. (AU)

FAPESP's process: 19/24277-8 - Applications of quantum field theory
Grantee:Pedro Gil Martins Vieira
Support Opportunities: Research Projects - SPEC Program
FAPESP's process: 21/02304-3 - Hexagons for general (String and Gauge) Theories
Grantee:Kallol Sen
Support Opportunities: Scholarships in Brazil - Post-Doctoral