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

Information Devices Division

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

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
Volume	2
DOIs	https://doi.org/10.1109/IJCNN.2005.1556007
Publication status	Published - 2005 Dec 1
Event	International Joint Conference on Neural Networks, IJCNN 2005 - Montreal, QC, Canada Duration: 2005 Jul 31 → 2005 Aug 4

Other

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

ASJC Scopus subject areas

Software
Artificial Intelligence

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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. vol. 2, 1556007, 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

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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",

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doi = "10.1109/IJCNN.2005.1556007",

language = "English",

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AU - Kinjo, Mitsunaga

AU - Takahashi, Osamu

AU - Sato, Shigeo

AU - Nakajima, Koji

PY - 2005/12/1

Y1 - 2005/12/1

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

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ER -

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

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