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Implementing a distance-based classifier with a quantum interference circuit
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Lately, much attention has been given to quantum algorithms that solve pattern recognition tasks in machine learning. Many of these quantum machine learning algorithms try to implement classical models on large-scale universal quantum computers that have access to non-trivial subroutines such as Hamiltonian simulation, amplitude amplification and phase estimation. We approach the problem from the opposite direction and analyse a distance-based classifier that is realised by a simple quantum interference circuit. After state preparation, the circuit only consists of a Hadamard gate as well as two single-qubit measurements, and computes the distance between data points in quantum parallel. We demonstrate the proof of principle using the IBM Quantum Experience and analyse the performance of the classifier with numerical simulations.
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“Further, distance-based classifiers using quantum interference circuits have been proposed in (Schuld et al. , 2017).”
From Noisy intermediate-scale quantum algorithms (2022) · cites this paper as Schuld et al. , 2017
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Du, Y., Hsieh, M.-H., Liu, T., You, S., & Tao, D. (2020) · Research Square · doi:10.21203/rs.3.rs-80242/v1 · Cited by 18
Venkatesh, K., Naik, K. J., & Shankar, A. (2024) · Multimedia Tools and Applications · doi:10.1007/s11042-023-17992-1 · Cited by 18
Quantum Simulation of Klein Gordon Equation and Observation of Klein Paradox in IBM Quantum ComputerPreprint
Kapil, M., Behera, B. K., & Panigrahi, P. K. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1807.00521 · Cited by 19
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Metadata
- Authors
- Schuld, M., Fingerhuth, M., & Petruccione, F.
- Affiliations
- University of KwaZulu-Natal (ZA)
- Maastricht University (NL)
- National Institute for Theoretical Physics (ZA)
- Venue
- EPL (Europhysics Letters)
- Publisher
- IOP Publishing
- Published
- 2017-09-01
- Volume
- 119
- Issue
- 6
- Pages
- 60002
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2751668559
- Semantic Scholar
- 2770d683a8a63ed1d87e51ca73a8571e930269a7
- Cited by
- 285
- References
- 15
- Citations by year
- 2026: 20 · 2025: 24 · 2024: 45 · 2023: 57 · 2022: 30 · 2021: 37 · 2020: 35 · 2019: 15 · 2018: 16 · 2017: 6
- FWCI
- 11.76
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Europhysics Letters (EPL) (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Research Foundation
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- quantum machine learning, distance-based classifiers, Hadamard gate, single-qubit measurement, quantum state preparation, pattern recognition, IBM Quantum Experience
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