Quantum annealing in the NISQ era: railway conflict management
- URL: http://arxiv.org/abs/2112.03674v2
- Date: Wed, 8 Dec 2021 10:36:00 GMT
- Title: Quantum annealing in the NISQ era: railway conflict management
- Authors: Krzysztof Domino, M\'aty\'as Koniorczyk, Krzysztof Krawiec, Konrad
Ja{\l}owiecki, Sebastian Deffner, Bart{\l}omiej Gardas
- Abstract summary: We consider a practical railway dispatching problem: delay and conflict management on single-track railway lines.
We introduce a quadratic unconstrained binary optimization (QUBO) model of this problem, compatible with the emerging quantum annealing technology.
As a proof-of-concept, we solve selected real-life problems from the Polish railway network using D-Wave quantum annealers.
- Score: 0.44040106718326594
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We are in the Noisy Intermediate-Scale Quantum (NISQ) devices' era, in which
quantum hardware has become available for application in real-world problems.
However, demonstrating the usefulness of such NISQ devices are still rare. In
this work, we consider a practical railway dispatching problem: delay and
conflict management on single-track railway lines. We examine the issue of
train dispatching consequences caused by the arrival of an already delayed
train to the network segment being considered. This problem is computationally
hard and needs to be solved almost in real-time. We introduce a quadratic
unconstrained binary optimization (QUBO) model of this problem, compatible with
the emerging quantum annealing technology. The model's instances can be
executed on present-day quantum annealers. As a proof-of-concept, we solve
selected real-life problems from the Polish railway network using D-Wave
quantum annealers. As a reference, we also provide solutions calculated with
classical methods, including those relevant to the community (linear integer
programming) and a sophisticated algorithm based on tensor networks for solving
Ising instances. Our preliminary results illustrate the degree of difficulty of
real-life railway instances for the current quantum annealing technology.
Moreover, our analysis shows that the new generation of quantum annealers (the
advantage system) perform much worse on those instances than its predecessor.
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