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

Journal Article · Thu Dec 15 04:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.72.0· OSTI ID:20786383

Danos, Vincent; Kashefi, Elham; Panangaden, Prakash ^[1]

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1. Universite Paris 7 and CNRS, 175 Rue du Chevaleret, 75013 Paris (France)

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)

• OSTI ID: 20786383
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 72; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ENERGY LEVELS
IMPLEMENTATION
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUBITS
ROTATION