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Title: Quantum-cellular-automata quantum computing with endohedral fullerenes

Abstract

We present a scheme to perform universal quantum computation using global addressing techniques as applied to a physical system of endohedrally doped fullerenes. The system consists of an ABAB linear array of group-V endohedrally doped fullerenes. Each molecule spin site consists of a nuclear spin coupled via a hyperfine interaction to an electron spin. The electron spin of each molecule is in a quartet ground state S=3/2. Neighboring molecular electron spins are coupled via a magnetic dipole interaction. We find that an all-electron construction of a quantum cellular automaton is frustrated due to the degeneracy of the electronic transitions. However, we can construct a quantum-cellular-automata quantum computing architecture using these molecules by encoding the quantum information on the nuclear spins while using the electron spins as a local bus. We deduce the NMR and ESR pulses required to execute the basic cellular automaton operation and obtain a rough figure of merit for the number of gate operations per decoherence time. We find that this figure of merit compares well with other physical quantum computer proposals. We argue that the proposed architecture meets well the first four DiVincenzo criteria and we outline various routes toward meeting the fifth criterion: qubit readout.

Authors:
 [1]
  1. Department of Mathematical Physics, National University of Ireland Maynooth, Maynooth, County Kildare (Ireland)
Publication Date:
OSTI Identifier:
20636367
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 67; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.67.052318; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; DOPED MATERIALS; ELECTRON SPIN RESONANCE; ELECTRONS; FULLERENES; GROUND STATES; INFORMATION THEORY; MAGNETIC DIPOLES; MOLECULES; NUCLEAR MAGNETIC RESONANCE; PARAMAGNETISM; PERFORMANCE; PULSES; QUANTUM MECHANICS; SPIN

Citation Formats

Twamley, J. Quantum-cellular-automata quantum computing with endohedral fullerenes. United States: N. p., 2003. Web. doi:10.1103/PhysRevA.67.052318.
Twamley, J. Quantum-cellular-automata quantum computing with endohedral fullerenes. United States. https://doi.org/10.1103/PhysRevA.67.052318
Twamley, J. 2003. "Quantum-cellular-automata quantum computing with endohedral fullerenes". United States. https://doi.org/10.1103/PhysRevA.67.052318.
@article{osti_20636367,
title = {Quantum-cellular-automata quantum computing with endohedral fullerenes},
author = {Twamley, J},
abstractNote = {We present a scheme to perform universal quantum computation using global addressing techniques as applied to a physical system of endohedrally doped fullerenes. The system consists of an ABAB linear array of group-V endohedrally doped fullerenes. Each molecule spin site consists of a nuclear spin coupled via a hyperfine interaction to an electron spin. The electron spin of each molecule is in a quartet ground state S=3/2. Neighboring molecular electron spins are coupled via a magnetic dipole interaction. We find that an all-electron construction of a quantum cellular automaton is frustrated due to the degeneracy of the electronic transitions. However, we can construct a quantum-cellular-automata quantum computing architecture using these molecules by encoding the quantum information on the nuclear spins while using the electron spins as a local bus. We deduce the NMR and ESR pulses required to execute the basic cellular automaton operation and obtain a rough figure of merit for the number of gate operations per decoherence time. We find that this figure of merit compares well with other physical quantum computer proposals. We argue that the proposed architecture meets well the first four DiVincenzo criteria and we outline various routes toward meeting the fifth criterion: qubit readout.},
doi = {10.1103/PhysRevA.67.052318},
url = {https://www.osti.gov/biblio/20636367}, journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 67,
place = {United States},
year = {Thu May 01 00:00:00 EDT 2003},
month = {Thu May 01 00:00:00 EDT 2003}
}