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# A quantum-search-aided dynamic programming framework for Pareto optimal routing in wireless multihop networks

Alanis, Dimitrios, Botsinis, Panagiotis, Babar, Zunaira, Nguyen, Hung Viet, Chandra, Daryus, Ng, Soon and Hanzo, Lajos (2018) A quantum-search-aided dynamic programming framework for Pareto optimal routing in wireless multihop networks. IEEE Transactions on Communications, 1-16.

Record type: Article

## Abstract

Wireless Multihop Networks (WMHNs) have to strike a trade-off among diverse and often conflicting Quality-of-Service (QoS) requirements. The resultant solutions may be included by the Pareto Front under the concept of Pareto Optimality. However, the problem of finding all the Pareto-optimal routes in WMHNs is classified as NP-hard, since the number of legitimate routes increases exponentially, as the nodes proliferate. Quantum Computing offers an attractive framework of rendering the Pareto-optimal routing problem tractable. In this context, a pair of quantum-assisted algorithms have been proposed, namely the Non-Dominated Quantum Optimization (NDQO) and the Non-Dominated Quantum Iterative Optimization (NDQIO). However, their complexity is proportional to $\sqrt{N}$, where $N$ corresponds to the total number of legitimate routes, thus still failing to find the solutions in "polynomial time". As a remedy, we devise a dynamic programming framework and propose the so-called Evolutionary Quantum Pareto Optimization (EQPO) algorithm. We analytically characterize the complexity imposed by the EQPO algorithm and demonstrate that it succeeds in solving the Pareto-optimal routing problem in polynomial time. Finally, we demonstrate by simulations that the EQPO algorithm achieves a complexity reduction, which is at least an order of magnitude, when compared to its predecessors, albeit at the cost of a modest heuristic accuracy reduction.

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2_col_eqpo_paper - Author's Original
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08283545 - Accepted Manuscript

Submitted date: 2017
e-pub ahead of print date: 6 February 2018
Additional Information: Under Review, submitted to IEEE Transactions on Communications

## Identifiers

Local EPrints ID: 416758
URI: http://eprints.soton.ac.uk/id/eprint/416758
ISSN: 0090-6778
PURE UUID: 5701e941-1c85-4b44-8cbc-5edebf0d398c
ORCID for Dimitrios Alanis: orcid.org/0000-0002-6654-1702
ORCID for Zunaira Babar: orcid.org/0000-0002-7498-4474
ORCID for Hung Viet Nguyen: orcid.org/0000-0001-6349-1044
ORCID for Daryus Chandra: orcid.org/0000-0003-2406-7229
ORCID for Soon Ng: orcid.org/0000-0002-0930-7194
ORCID for Lajos Hanzo: orcid.org/0000-0002-2636-5214

## Catalogue record

Date deposited: 09 Jan 2018 17:30

## Contributors

Author: Dimitrios Alanis
Author: Panagiotis Botsinis
Author: Zunaira Babar
Author: Hung Viet Nguyen
Author: Daryus Chandra
Author: Soon Ng
Author: Lajos Hanzo