Abstract
It has been known that a variety of optimization problems can be solved with a neural network, and that a quantum computer executes real parallel computation. A quantum neural network has been proposed to incorporate quantum dynamics into a neural network. In this study, we test the possibility of actual implementation of a quantum neural network with a nuclear spin as a qubit. First, we introduce the relationship between a spin and a 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 proposed nuclear spin system behaves as a neuron with inhibitory interactions, as expected in analogy to a Hopfield network.
| Original language | English |
|---|---|
| Pages (from-to) | 8030-8034 |
| Number of pages | 5 |
| Journal | Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers |
| Volume | 45 |
| Issue number | 10 A |
| DOIs | |
| Publication status | Published - 2006 Oct 15 |
Keywords
- Adiabatic quantum computation
- Hopfield network
- Nuclear spin
- Quantum neural network
ASJC Scopus subject areas
- Engineering(all)
- Physics and Astronomy(all)
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Nakamiya, Y., Kinjo, M., Takahashi, O., Sato, S., & Nakajima, K. (2006). Quantum neural network composed of Kane's qubits. Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers, 45(10 A), 8030-8034. https://doi.org/10.1143/JJAP.45.8030