Parsimonious and robust realizations of unitary maps in the oneway model
Abstract
We present a new set of generators for unitary maps over C{sup 2} which differs from the traditional rotationbased generating set in that it uses a singleparameter family of unitaries J({alpha}). These generators are implementable in the oneway model [Raussendorf and Briegel, Phys. Rev. Lett. 86, 5188 (2001)] using only two qubits, and lead to both parsimonious and robust implementations of general unitaries. As an illustration, we give an implementation of the controlledU family which uses only 14 qubits, and has a 2colorable underlying entanglement graph (known to yield robust entangled states)
 Authors:
 Universite Paris 7 and CNRS, 175 Rue du Chevaleret, 75013 Paris (France)
 (Canada)
 Publication Date:
 OSTI Identifier:
 20786383
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.72.064301; (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; ENERGY LEVELS; IMPLEMENTATION; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUBITS; ROTATION
Citation Formats
Danos, Vincent, Kashefi, Elham, Panangaden, Prakash, Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, N2L 3G1, and School of Computer Science, McGill University, Montreal, Quebec, H3A 2A7. Parsimonious and robust realizations of unitary maps in the oneway model. United States: N. p., 2005.
Web. doi:10.1103/PHYSREVA.72.0.
Danos, Vincent, Kashefi, Elham, Panangaden, Prakash, Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, N2L 3G1, & School of Computer Science, McGill University, Montreal, Quebec, H3A 2A7. Parsimonious and robust realizations of unitary maps in the oneway model. United States. doi:10.1103/PHYSREVA.72.0.
Danos, Vincent, Kashefi, Elham, Panangaden, Prakash, Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, N2L 3G1, and School of Computer Science, McGill University, Montreal, Quebec, H3A 2A7. Thu .
"Parsimonious and robust realizations of unitary maps in the oneway model". United States.
doi:10.1103/PHYSREVA.72.0.
@article{osti_20786383,
title = {Parsimonious and robust realizations of unitary maps in the oneway model},
author = {Danos, Vincent and Kashefi, Elham and Panangaden, Prakash and Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, N2L 3G1 and School of Computer Science, McGill University, Montreal, Quebec, H3A 2A7},
abstractNote = {We present a new set of generators for unitary maps over C{sup 2} which differs from the traditional rotationbased generating set in that it uses a singleparameter family of unitaries J({alpha}). These generators are implementable in the oneway model [Raussendorf and Briegel, Phys. Rev. Lett. 86, 5188 (2001)] using only two qubits, and lead to both parsimonious and robust implementations of general unitaries. As an illustration, we give an implementation of the controlledU family which uses only 14 qubits, and has a 2colorable underlying entanglement graph (known to yield robust entangled states)},
doi = {10.1103/PHYSREVA.72.0},
journal = {Physical Review. A},
number = 6,
volume = 72,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}
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