Quantum circuit learning

Kosuke Mitarai; Makoto Negoro; Masahiro Kitagawa; Keisuke Fujii

doi:https://doi.org/10.1103/physreva.98.032309

Quantum circuit learning

2018 · Physical Review A · 1,667 citations · 4 from inside this corpus

Kosuke Mitarai, Makoto Negoro, Masahiro Kitagawa, Keisuke Fujii

We propose a classical-quantum hybrid algorithm for machine learning on near-term quantum processors, which we call quantum circuit learning. A quantum circuit driven by our framework learns a given task by tuning parameters implemented on it. The iterative optimization of the parameters allows us to circumvent the high-depth circuit. Theoretical investigation shows that a quantum circuit can approximate nonlinear functions, which is further confirmed by numerical simulations. Hybridizing a low-depth quantum circuit and a classical computer for machine learning, the proposed framework paves the way toward applications of near-term quantum devices for quantum machine learning.

13 of 13 neighbouring works in this corpus. Blue is what this paper cites; orange is what cites it, and a dashed line is one neighbour citing another. Only the largest labels are drawn — every node carries its full title on hover.

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Citation edge evidence

Each row is directed from the citing work to the cited work. Source status remains readable without the interactive graph.

Variational quantum algorithms→Quantum circuit learningLegacy edge — source detail unavailable
Supervised learning with quantum-enhanced feature spaces→Quantum circuit learningLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Quantum circuit learningLegacy edge — source detail unavailable
Superconducting Qubits: Current State of Play→Quantum circuit learningLegacy edge — source detail unavailable
Quantum circuit learning→Quantum Computation and Quantum InformationLegacy edge — source detail unavailable
Quantum circuit learning→Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum C…Legacy edge — source detail unavailable
Quantum circuit learning→A variational eigenvalue solver on a photonic quantum processorLegacy edge — source detail unavailable
Quantum circuit learning→Harnessing Nonlinearity: Predicting Chaotic Systems and Saving Energy in Wireless Communi…Legacy edge — source detail unavailable
Quantum circuit learning→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Quantum circuit learning→Hardware-efficient variational quantum eigensolver for small molecules and quantum magnetsLegacy edge — source detail unavailable
Quantum circuit learning→Pattern recognition and machine learningLegacy edge — source detail unavailable
Quantum circuit learning→Quantum Support Vector Machine for Big Data ClassificationLegacy edge — source detail unavailable
Quantum circuit learning→Quantum computation and quantum informationLegacy edge — source detail unavailable
Quantum Support Vector Machine for Big Data Classification→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Quantum Support Vector Machine for Big Data Classification→Pattern recognition and machine learningLegacy edge — source detail unavailable
A variational eigenvalue solver on a photonic quantum processor→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets→A variational eigenvalue solver on a photonic quantum processorLegacy edge — source detail unavailable
Supervised learning with quantum-enhanced feature spaces→Quantum Support Vector Machine for Big Data ClassificationLegacy edge — source detail unavailable
Supervised learning with quantum-enhanced feature spaces→Hardware-efficient variational quantum eigensolver for small molecules and quantum magnetsLegacy edge — source detail unavailable
Superconducting Qubits: Current State of Play→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Superconducting Qubits: Current State of Play→A variational eigenvalue solver on a photonic quantum processorLegacy edge — source detail unavailable
Superconducting Qubits: Current State of Play→Hardware-efficient variational quantum eigensolver for small molecules and quantum magnetsLegacy edge — source detail unavailable
Superconducting Qubits: Current State of Play→Supervised learning with quantum-enhanced feature spacesLegacy edge — source detail unavailable
Variational quantum algorithms→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Variational quantum algorithms→A variational eigenvalue solver on a photonic quantum processorLegacy edge — source detail unavailable
Variational quantum algorithms→Hardware-efficient variational quantum eigensolver for small molecules and quantum magnetsLegacy edge — source detail unavailable
Variational quantum algorithms→Supervised learning with quantum-enhanced feature spacesLegacy edge — source detail unavailable
Variational quantum algorithms→Quantum Computation and Quantum InformationLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Quantum Algorithm for Linear Systems of EquationsLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→A variational eigenvalue solver on a photonic quantum processorLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Hardware-efficient variational quantum eigensolver for small molecules and quantum magnetsLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Supervised learning with quantum-enhanced feature spacesLegacy edge — source detail unavailable
Noisy intermediate-scale quantum algorithms→Superconducting Qubits: Current State of PlayLegacy edge — source detail unavailable

What this paper cites, inside the corpus

Paper	Year	Cited
Quantum Computation and Quantum Information	2012	8,654
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum C…	1997	6,013
A variational eigenvalue solver on a photonic quantum processor	2014	4,730
Harnessing Nonlinearity: Predicting Chaotic Systems and Saving Energy in Wireless Communi…	2004	3,862
Quantum Algorithm for Linear Systems of Equations	2009	3,375
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets	2017	3,128
Pattern recognition and machine learning	2007	2,691
Quantum Support Vector Machine for Big Data Classification	2014	2,010
Quantum computation and quantum information	2007	1,912

What cites it, inside the corpus

Paper	Year	Cited
Variational quantum algorithms	2021	3,226
Supervised learning with quantum-enhanced feature spaces	2019	2,548
Noisy intermediate-scale quantum algorithms	2022	1,770
Superconducting Qubits: Current State of Play	2019	1,467

Links

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Topics

Quantum Computing Algorithms and Architecture	Computer Science
Quantum Information and Cryptography	Computer Science
Neural Networks and Reservoir Computing	Computer Science

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complete

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supports4 author record(s) attached.
supports29 reference(s) recorded.
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supportsA title is present.

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