QUACK: Quantum Aligned Centroid Kernel

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Bibliografske podrobnosti
izdano v:The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Conference Proceedings vol. 01 (2024)
Glavni avtor: Kilian Tscharke
Drugi avtorji: Issel, Sebastian, Debus, Pascal
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The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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024 7 |a 10.1109/QCE60285.2024.00169  |2 doi 
035 |a 3153928527 
045 2 |b d20240101  |b d20241231 
084 |a 228229  |2 nlm 
100 1 |a Kilian Tscharke  |u Fraunhofer Institute for Applied and Integrated Security Garching,Quantum Security Technologies,Munich,Germany 
245 1 |a QUACK: Quantum Aligned Centroid Kernel 
260 |b The Institute of Electrical and Electronics Engineers, Inc. (IEEE)  |c 2024 
513 |a Conference Proceedings 
520 3 |a Conference Title: 2024 IEEE International Conference on Quantum Computing and Engineering (QCE)Conference Start Date: 2024, Sept. 15 Conference End Date: 2024, Sept. 20 Conference Location: Montreal, QC, CanadaQuantum computing (QC) seems to show potential for application in machine learning (ML). In particular quantum kernel methods (QKM) exhibit promising properties for use in supervised ML tasks. However, a major disadvantage of kernel methods is their unfavorable quadratic scaling with the number of training samples. Together with the limits imposed by currently available quantum hardware (NISQ devices) with their low qubit coherence times, small number of qubits, and high error rates, the use of QC in ML at an industrially relevant scale is currently impossible. As a small step in improving the potential applications of QKMs, we introduce QUACK, a quantum kernel algorithm whose time complexity scales linear with the number of samples during training, and independent of the number of training samples in the inference stage. In the training process, only the kernel entries for the samples and the centers of the classes are calculated, i.e. the maximum shape of the kernel for n samples and c classes is (n, c). During training, the parameters of the quantum kernel and the positions of the centroids are optimized iteratively. In the inference stage, for every new sample the circuit is only evaluated for every centroid, i.e. c times. We show that the QUACK algorithm nevertheless provides satisfactory results and can perform at a similar level as classical kernel methods with quadratic scaling during training. In addition, our (simulated) algorithm is able to handle high-dimensional datasets such as MNIST with 784 features without any dimensionality reduction. 
653 |a Algorithms 
653 |a Quantum computing 
653 |a Machine learning 
653 |a Kernel functions 
653 |a Centroids 
653 |a Inference 
653 |a Qubits (quantum computing) 
653 |a Environmental 
700 1 |a Issel, Sebastian  |u Fraunhofer Institute for Applied and Integrated Security Garching,Quantum Security Technologies,Munich,Germany 
700 1 |a Debus, Pascal  |u Fraunhofer Institute for Applied and Integrated Security Garching,Quantum Security Technologies,Munich,Germany 
773 0 |t The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Conference Proceedings  |g vol. 01 (2024) 
786 0 |d ProQuest  |t Science Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3153928527/abstract/embedded/L8HZQI7Z43R0LA5T?source=fedsrch