Transitions in the computational power of thermal states for measurement-based quantum computation

@article{Barrett2009TransitionsIT,
  title={Transitions in the computational power of thermal states for measurement-based quantum computation},
  author={Se{\'a}n D. Barrett and Stephen D. Bartlett and Andrew C. Doherty and David Jennings and Terry Rudolph},
  journal={Physical Review A},
  year={2009},
  volume={80},
  pages={062328-1-062328-8}
}
  • Seán D. Barrett, Stephen D. Bartlett, +2 authors Terry Rudolph
  • Published 2009
  • Physics
  • Physical Review A
  • We show that the usefulness of the thermal state of a specific spin-lattice model for measurement-based quantum computing exhibits a transition between two distinct “phases”—one in which every state is a universal resource for quantum computation, and another in which any local measurement sequence can be simulated efficiently on a classical computer. Remarkably, this transition in computational power does not coincide with any phase transition, classical, or quantum in the underlying spin… CONTINUE READING

    Figures from this paper.

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 15 CITATIONS

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 20 REFERENCES

    Phys

    • S. D. Bartlett, T. Rudolph
    • Rev. A 74, 040302(R)
    • 2006
    VIEW 10 EXCERPTS
    HIGHLY INFLUENTIAL

    Phys

    • F. Verstraete, J. I. Cirac
    • Rev. A 70, 060302(R)
    • 2004
    VIEW 12 EXCERPTS
    HIGHLY INFLUENTIAL

    Ann

    • R. Raussendorf, J. Harrington, K. Goyal
    • Phys. 321, 2242
    • 2006
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Phys

    • M. Popp, F. Verstraete, M. A. Martin-Delgado, J. I. Cirac
    • Rev. A 71, 042306
    • 2005
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Phys

    • R. Raussendorf, S. Bravyi, J. Harrington
    • Rev. A 71, 062313
    • 2005
    VIEW 6 EXCERPTS
    HIGHLY INFLUENTIAL

    J

    • Seguin Hen
    • Edinburgh Medical and Surgical Journal
    • 1824
    VIEW 1 EXCERPT

    New J

    • D. E. Browne, M. B. Elliott, +3 authors A. J. Short
    • Phys. 10, 023010
    • 2008
    VIEW 3 EXCERPTS

    New J

    • R. Raussendorf, J. Harrington, K. Goyal
    • Phys. 9, 199
    • 2007
    VIEW 3 EXCERPTS

    Phys

    • T. M. Stace, S. D. Barrett, A. C. Doherty
    • Rev. Lett. 102, 200501
    • 2009
    VIEW 1 EXCERPT

    Phys

    • D. Gross, J. Eisert, N. Schuch, D. Perez-Garcia
    • Rev. A 76, 052315
    • 2007
    VIEW 1 EXCERPT