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Title: Parsimonious and robust realizations of unitary maps in the one-way model

Abstract

We present a new set of generators for unitary maps over C{sup 2} which differs from the traditional rotation-based generating set in that it uses a single-parameter family of unitaries J({alpha}). These generators are implementable in the one-way 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 controlled-U family which uses only 14 qubits, and has a 2-colorable underlying entanglement graph (known to yield robust entangled states)

Authors:
; ;  [1];  [2];  [2]
  1. Universite Paris 7 and CNRS, 175 Rue du Chevaleret, 75013 Paris (France)
  2. (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 one-way 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 one-way 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 one-way model". United States. doi:10.1103/PHYSREVA.72.0.
@article{osti_20786383,
title = {Parsimonious and robust realizations of unitary maps in the one-way 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 rotation-based generating set in that it uses a single-parameter family of unitaries J({alpha}). These generators are implementable in the one-way 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 controlled-U family which uses only 14 qubits, and has a 2-colorable 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}
}