Bonderson, Parsa; Freedman, Michael; Nayak, Chetan Measurement-only topological quantum computation via anyonic interferometry. (English) Zbl 1171.81004 Ann. Phys. 324, No. 4, 787-826 (2009). Summary: We describe measurement-only topological quantum computation using both projective and interferometrical measurement of topological charge. We demonstrate how anyonic teleportation can be achieved using “forced measurement” protocols for both types of measurement. Using this, it is shown how topological charge measurements can be used to generate the braiding transformations used in topological quantum computation, and hence that the physical transportation of computational anyons is unnecessary. We give a detailed discussion of the anyonics for implementation of topological quantum computation (particularly, using the measurement-only approach) in fractional quantum Hall systems. Cited in 5 Documents MSC: 81P68 Quantum computation 81V70 Many-body theory; quantum Hall effect 81P15 Quantum measurement theory, state operations, state preparations Keywords:topological quantum computation; interferometry; anyonic charge measurement; fractional quantum Hall effect PDFBibTeX XMLCite \textit{P. Bonderson} et al., Ann. Phys. 324, No. 4, 787--826 (2009; Zbl 1171.81004) Full Text: DOI arXiv References: [1] von Neumann, J., Mathematical Foundations of Quantum Mechanics (1955), Princeton University Press: Princeton University Press Princeton, NJ [2] Kitaev, A. Y., Ann. Phys., 303, 2 (2003) [3] Freedman, M. H.; Kitaev, A.; Larsen, M. J.; Wang, Z., Bull. Am. Math. Soc. (N.S.), 40, 31-38 (2003) [4] Bonderson, P.; Freedman, M.; Nayak, C., Phys. Rev. Lett., 101, 010501 (2008) [5] Bonderson, P.; Shtengel, K.; Slingerland, J. K., Phys. Rev. Lett., 98, 070401 (2007) [6] P.H. Bonderson, Non-Abelian Anyons and Interferometry, Ph.D. Thesis, 2007.; P.H. 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