Evaluation of Parameterized Quantum Circuits: on the relation between
classification accuracy, expressibility and entangling capability
- URL: http://arxiv.org/abs/2003.09887v2
- Date: Sat, 29 Aug 2020 11:51:04 GMT
- Title: Evaluation of Parameterized Quantum Circuits: on the relation between
classification accuracy, expressibility and entangling capability
- Authors: Thomas Hubregtsen, Josef Pichlmeier, Patrick Stecher, Koen Bertels
- Abstract summary: Quantum Circuits in a hybrid quantum-classical setup 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?
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.
- Score: 1.1871523410051525
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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