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Quantum Machine Learning

Provable advantages of kernel-based quantum learners and quantum preprocessing based on Grover's algorithm

arXiv
Authors: Till Muser, Elias Zapusek, Vasilis Belis, Florentin Reiter

Year

2023

Paper ID

54461

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

There is an ongoing effort to find quantum speedups for learning problems. Recently, \[Y. Liu et al., Nat. Phys. textbf{17}, 1013--1017 (2021)\] have proven an exponential speedup for quantum support vector machines by leveraging the speedup of Shor's algorithm. We expand upon this result and identify a speedup utilizing Grover's algorithm in the kernel of a support vector machine. To show the practicality of the kernel structure we apply it to a problem related to pattern matching, providing a practical yet provable advantage. Moreover, we show that combining quantum computation in a preprocessing step with classical methods for classification further improves classifier performance.

Why This Paper Matters

  • This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • There is an ongoing effort to find quantum speedups for learning problems.

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