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Title: Exact solutions for a universal set of quantum gates on a family of isospectral spin chains

Abstract

We find exact solutions for a universal set of quantum gates on a scalable candidate for quantum computers, namely an array of two-level systems. The gates are constructed by a combination of dynamical and geometrical (non-Abelian) phases. Previously these gates have been constructed mostly on nonscalable systems and by numerical searches among the loops in the manifold of control parameters of the Hamiltonian.

Authors:
;  [1]
  1. Department of Physics, Sharif University of Technology, P. O. Box 11365-9161, Tehran (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
20786457
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.72.052305; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; CONTROL; ENERGY LEVELS; EXACT SOLUTIONS; GATING CIRCUITS; HAMILTONIANS; QUANTUM COMPUTERS; QUANTUM MECHANICS; SPIN

Citation Formats

Karimipour, V., and Majd, N.. Exact solutions for a universal set of quantum gates on a family of isospectral spin chains. United States: N. p., 2005. Web. doi:10.1103/PHYSREVA.72.0.
Karimipour, V., & Majd, N.. Exact solutions for a universal set of quantum gates on a family of isospectral spin chains. United States. doi:10.1103/PHYSREVA.72.0.
Karimipour, V., and Majd, N.. Tue . "Exact solutions for a universal set of quantum gates on a family of isospectral spin chains". United States. doi:10.1103/PHYSREVA.72.0.
@article{osti_20786457,
title = {Exact solutions for a universal set of quantum gates on a family of isospectral spin chains},
author = {Karimipour, V. and Majd, N.},
abstractNote = {We find exact solutions for a universal set of quantum gates on a scalable candidate for quantum computers, namely an array of two-level systems. The gates are constructed by a combination of dynamical and geometrical (non-Abelian) phases. Previously these gates have been constructed mostly on nonscalable systems and by numerical searches among the loops in the manifold of control parameters of the Hamiltonian.},
doi = {10.1103/PHYSREVA.72.0},
journal = {Physical Review. A},
number = 5,
volume = 72,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2005},
month = {Tue Nov 15 00:00:00 EST 2005}
}