Evaluation of parameterized quantum circuits: on the relation between classification accuracy, expressibility, and entangling capability
| Autor: | Thomas Hubregtsen, Patrick Stecher, Koen Bertels, Josef Pichlmeier |
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| Rok vydání: | 2020 |
| Předmět: |
FOS: Computer and information sciences
Quantum machine learning Computer science Feature vector Entangling capability Parameterized complexity FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas Theoretical Computer Science Parameterized quantum circuits symbols.namesake Quantum circuit Artificial Intelligence 0103 physical sciences Neural and Evolutionary Computing (cs.NE) 010306 general physics Quantum neural networks Quantum Research Article Expressibility Quantum computing Electronic circuit Quantum Physics Applied Mathematics 500 Naturwissenschaften und Mathematik::530 Physik::530 Physik Hilbert space Computer Science - Neural and Evolutionary Computing ddc Computational Theory and Mathematics symbols Embedding Quantum Physics (quant-ph) Algorithm Software |
| Popis: | An active area of investigation in the search for quantum advantage is Quantum Machine Learning. Quantum Machine Learning, and Parameterized Quantum Circuits in a hybrid quantum-classical setup in particular, could bring advancements in accuracy by utilizing the high dimensionality of the Hilbert space as feature space. But is the ability of a quantum circuit to uniformly address the Hilbert space a good indicator of classification accuracy? In our work, we use methods and quantifications from prior art to perform a numerical study in order to evaluate the level of correlation. We find a strong correlation between the ability of the circuit to uniformly address the Hilbert space and the achieved classification accuracy for circuits that entail a single embedding layer followed by 1 or 2 circuit designs. This is based on our study encompassing 19 circuits in both 1 and 2 layer configuration, evaluated on 9 datasets of increasing difficulty. Future work will evaluate if this holds for different circuit designs. Comment: Pre-Print |
| Databáze: | OpenAIRE |
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