Systems and methods for performing quantum computations

Active solid-state devices (e.g. – transistors – solid-state diode – Miscellaneous

Reexamination Certificate

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

C257S031000, C706S029000, C706S033000

Reexamination Certificate

active

07109593

ABSTRACT:
Apparatus and methods for performing quantum computations are disclosed. Such apparatus and methods may include identifying a first quantum state of a lattice having a system of quasi-particles disposed thereon, moving the quasi-particles within the lattice according to at least one predefined rule, identifying a second quantum state of the lattice after the quasi-particles have been moved, and determining a computational result based on the second quantum state of the lattice.

REFERENCES:
Balents, L. et al., “Fractionalization in an Easy-Axis Kagome Antiferromagnet”,arXiv:cond-mat/0110005 v1,Sept. 29, 2001, 1-8.
Doucot, B. et al., “Topological Order in the Insulating Josephson Junction Array”,arXiv:cond-mat/0211146 v1,Nov. 7, 2002, 1-4.
Freedman, M.H. et al., “Topological Quantum Computation”,arXiv:quant-ph/0101025 v2,Sept. 24, 2002, 1-12.
Freedman, M. H., “P/NP, and the Quantum Field Computer”,Proc. Natl. Acad. Sci. USA,Jan. 1998, 95, 98-101.
Freedman, M.H. et al., “The Two—Eigenvalue Problem and Density of Jones Representation of Braid Groups”,Commun. Math. Phys.,2002, 228, 177-199.
Freedman, M. et al., “A Class of P, T-Invariant Topological Phases of Interacting Electrons”,Annals of Physics,2004, 310, 428-492.
Freedman, M.H., et al., A Magnetic Model with a Possible Chern-Simons Phase(with an Appendix by F.Goodman and H. Wenzl),Commun. Math Phys.,2003, 234, 129-183.
Freedman, M.H. et al., “A Modular Functor Which is Universal for Quantum Computation”,Commun. Math. Phys.,2002, 227, 605-622.
Freedman, M.H. et al., “Simulation of Topological Field Theories by Quantum Computers”,Commun. Math. Phys.,2002, 227, 587-603.
Freedman, M.H. et al., “Topological Quantum Computation”,Bulletin(New Series)of the American Mathematical Society,Oct. 10, 2002, 40(1), 31-38.
Freedman, M.H. et al., “Topological Quantum Computation”,arXiv:quant-ph/0101025 v2,Oct. 31, 2002, 1-12.
Kitaev, A.U., “Fault-Tolerant Quantum Computation by Anyons”,L.D. Landau Institute for Theoretical Physics, arXiv:quant-ph/9707021 v1,Oct. 7, 2002, 1-27.
Lloyd, S. et al., “Robust Quantum Computation by Simulation”,arXiv:quant-ph/9912040 v1,Dec. 8, 1999, 1-8.
Lloyd, S., “Quantum Computation with Abelian Anyons”,arXiv:quant-ph/0004010 v2,Apr. 9, 2000, 1-7.
Mochon, C., “Anyon Computers with Smaller Groups”,arXiv:quant-ph/0306063 v2,Mar. 29, 2004, 1-28.
Ogburn, R. W., “Topological Quantum Computation”,QCQC,1998, LNCS1509, 341-356, 1999.
Parsons, P., “Dancing the Quantum Dream”,New Scientist,Jan. 2004, 30-34.
Wen, X.G., “Non-Abelian Statistics in the Fractional Quantum Hall States”,Phys. Rev. Lett.,1991, 66, 802, pp. 1-7.

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

Systems and methods for performing quantum computations does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Systems and methods for performing quantum computations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Systems and methods for performing quantum computations will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-3574732

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.