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DTSTAMP:20240626T180033Z
LOCATION:3004\, 3rd Floor
DTSTART;TZID=America/Los_Angeles:20240626T110600
DTEND;TZID=America/Los_Angeles:20240626T112400
UID:dac_DAC 2024_sess132_RESEARCH1676@linklings.com
SUMMARY:Design of a Quantum Walk Circuit to Solve the Subset-Sum Problem
DESCRIPTION:Research Manuscript\n\nGiacomo Lancellotti, Simone Perriello, 
 Alessandro Barenghi, and Gerardo Pelosi (Politecnico di Milano)\n\nSearch 
 algorithms based on quantum walks have emerged as a promising approach to 
 solve computational problems across various domains, including combinatori
 al optimization and cryptography. Stating a generic search problem in term
 s of a (quantum) search over a graph makes the efficiency of the algorithm
 ic method depend on the structure of the graph itself. In this work, we pr
 opose a complete implementation of a quantum walk search on Johnson graphs
 , speeding up the solution of the subset-sum problem. We provide a detaile
 d design of each sub-circuit, quantifying their cost in terms of gate numb
 er, depth, and width. We additionally compare our solution against a Grove
 r quantum search approach, showing a reduction of the T-depth cost compare
 d to it. The proposed design provides a building block for the constructio
 n of efficient quantum search algorithms that can be modeled on Johnson gr
 aphs, filling the gap with the existing theoretical complexity analyses.\n
 \nTopic: Design\n\nKeyword: Quantum Computing\n\nSession Chair: Kanad Basu
  (The University of Texas)
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