Basic property of a quantum neural network composed of Kane's qubits

Yuuki Nakamiya; Mitsunaga Kinjo; Osamu Takahashi; Shigeo Sato; Koji Nakajima

doi:10.1109/IJCNN.2005.1556007

Basic property of a quantum neural network composed of Kane's qubits

Yuuki Nakamiya, Mitsunaga Kinjo, Osamu Takahashi, Shigeo Sato, Koji Nakajima

RIEC - Computing System Platforms Division

Tohoku University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

It has been known a variety of optimization problems can be solved with a neural network, and a quantum computer executes real parallel computation. A quantum neural network has been proposed in order to incorporate quantum dynamics. In this paper, we test the possibility of real implementation of a quantum neural network with a nuclear spin as a qubit First, we introduce the relation between spin and neuron, then describe the adiabatic Hamiltonian evolution applied for the state change. Next, we describe a real spin quantum system and show the simulation results. A nuclear spin system proposed by Kane behaves as a neuron with inhibitory interactions as expected in analogy to a Hopfield network.

Original language	English
Title of host publication	Proceedings of the International Joint Conference on Neural Networks, IJCNN 2005
Pages	1104-1107
Number of pages	4
DOIs	https://doi.org/10.1109/IJCNN.2005.1556007
Publication status	Published - 2005
Event	International Joint Conference on Neural Networks, IJCNN 2005 - Montreal, QC, Canada Duration: 2005 Jul 31 → 2005 Aug 4

Publication series

Name	Proceedings of the International Joint Conference on Neural Networks
Volume	2

Conference

Conference	International Joint Conference on Neural Networks, IJCNN 2005
Country/Territory	Canada
City	Montreal, QC
Period	05/7/31 → 05/8/4

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10.1109/IJCNN.2005.1556007

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Nakamiya, Y., Kinjo, M., Takahashi, O., Sato, S., & Nakajima, K. (2005). Basic property of a quantum neural network composed of Kane's qubits. In Proceedings of the International Joint Conference on Neural Networks, IJCNN 2005 (pp. 1104-1107). Article 1556007 (Proceedings of the International Joint Conference on Neural Networks; Vol. 2). https://doi.org/10.1109/IJCNN.2005.1556007

@inproceedings{4c363ac7af36471199c11b00f5e7a050,

title = "Basic property of a quantum neural network composed of Kane's qubits",

abstract = "It has been known a variety of optimization problems can be solved with a neural network, and a quantum computer executes real parallel computation. A quantum neural network has been proposed in order to incorporate quantum dynamics. In this paper, we test the possibility of real implementation of a quantum neural network with a nuclear spin as a qubit First, we introduce the relation between spin and neuron, then describe the adiabatic Hamiltonian evolution applied for the state change. Next, we describe a real spin quantum system and show the simulation results. A nuclear spin system proposed by Kane behaves as a neuron with inhibitory interactions as expected in analogy to a Hopfield network.",

author = "Yuuki Nakamiya and Mitsunaga Kinjo and Osamu Takahashi and Shigeo Sato and Koji Nakajima",

year = "2005",

doi = "10.1109/IJCNN.2005.1556007",

language = "English",

isbn = "0780390482",

series = "Proceedings of the International Joint Conference on Neural Networks",

pages = "1104--1107",

booktitle = "Proceedings of the International Joint Conference on Neural Networks, IJCNN 2005",

note = "International Joint Conference on Neural Networks, IJCNN 2005 ; Conference date: 31-07-2005 Through 04-08-2005",

}

Nakamiya, Y, Kinjo, M, Takahashi, O, Sato, S & Nakajima, K 2005, Basic property of a quantum neural network composed of Kane's qubits. in Proceedings of the International Joint Conference on Neural Networks, IJCNN 2005., 1556007, Proceedings of the International Joint Conference on Neural Networks, vol. 2, pp. 1104-1107, International Joint Conference on Neural Networks, IJCNN 2005, Montreal, QC, Canada, 05/7/31. https://doi.org/10.1109/IJCNN.2005.1556007

Basic property of a quantum neural network composed of Kane's qubits. / Nakamiya, Yuuki; Kinjo, Mitsunaga; Takahashi, Osamu et al.
Proceedings of the International Joint Conference on Neural Networks, IJCNN 2005. 2005. p. 1104-1107 1556007 (Proceedings of the International Joint Conference on Neural Networks; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Basic property of a quantum neural network composed of Kane's qubits

AU - Nakamiya, Yuuki

AU - Kinjo, Mitsunaga

AU - Takahashi, Osamu

AU - Sato, Shigeo

AU - Nakajima, Koji

PY - 2005

Y1 - 2005

N2 - It has been known a variety of optimization problems can be solved with a neural network, and a quantum computer executes real parallel computation. A quantum neural network has been proposed in order to incorporate quantum dynamics. In this paper, we test the possibility of real implementation of a quantum neural network with a nuclear spin as a qubit First, we introduce the relation between spin and neuron, then describe the adiabatic Hamiltonian evolution applied for the state change. Next, we describe a real spin quantum system and show the simulation results. A nuclear spin system proposed by Kane behaves as a neuron with inhibitory interactions as expected in analogy to a Hopfield network.

AB - It has been known a variety of optimization problems can be solved with a neural network, and a quantum computer executes real parallel computation. A quantum neural network has been proposed in order to incorporate quantum dynamics. In this paper, we test the possibility of real implementation of a quantum neural network with a nuclear spin as a qubit First, we introduce the relation between spin and neuron, then describe the adiabatic Hamiltonian evolution applied for the state change. Next, we describe a real spin quantum system and show the simulation results. A nuclear spin system proposed by Kane behaves as a neuron with inhibitory interactions as expected in analogy to a Hopfield network.

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T3 - Proceedings of the International Joint Conference on Neural Networks

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BT - Proceedings of the International Joint Conference on Neural Networks, IJCNN 2005

T2 - International Joint Conference on Neural Networks, IJCNN 2005

Y2 - 31 July 2005 through 4 August 2005

ER -

Basic property of a quantum neural network composed of Kane's qubits

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