Practical Quantum K-Means Clustering: Performance Analysis and
Applications in Energy Grid Classification
- URL: http://arxiv.org/abs/2112.08506v2
- Date: Sun, 11 Sep 2022 15:01:42 GMT
- Title: Practical Quantum K-Means Clustering: Performance Analysis and
Applications in Energy Grid Classification
- Authors: Stephen DiAdamo, Corey O'Meara, Giorgio Cortiana, Juan
Bernab\'e-Moreno
- Abstract summary: We propose a general, competitive, and parallelized version of quantum $k$-means clustering to avoid some pitfalls due to noisy hardware.
Using real-world German electricity grid data, we show that the new approach improves the balanced accuracy of the standard quantum $k$-means clustering by $67.8%$ with respect to the labeling of the classical algorithm.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this work, we aim to solve a practical use-case of unsupervised clustering
which has applications in predictive maintenance in the energy operations
sector using quantum computers. Using only cloud access to quantum computers,
we complete a thorough performance analysis of what some current quantum
computing systems are capable of for practical applications involving
non-trivial mid-to-high dimensional datasets. We first benchmark how well
distance estimation can be performed using two different metrics based on the
swap-test, using angle and amplitude data embedding. Next, for the clustering
performance analysis, we generate sets of synthetic data with varying cluster
variance and compare simulation to physical hardware results using the two
metrics. From the results of this performance analysis, we propose a general,
competitive, and parallelized version of quantum $k$-means clustering to avoid
some pitfalls discovered due to noisy hardware and apply the approach to a real
energy grid clustering scenario. Using real-world German electricity grid data,
we show that the new approach improves the balanced accuracy of the standard
quantum $k$-means clustering by $67.8\%$ with respect to the labeling of the
classical algorithm.
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