Fetching the paper…
Reading the bibliography…
Topological quantum computation has recently emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer.
1921
Earlier work this paper cites.
Doplicher, S., R. Haag, and J. E. Roberts, 1971, Local observables and particle statistics. I, Comm. Math. Phys. 23
1971
Earlier work this paper cites.
Wess, J., and B. Zumino, 1971, Consequences of anomalous ward identities, Phys. Lett. B 37
1971
Earlier work this paper cites.
Anderson, P. W., 1973, Resonating valence bonds: a new kind of insulator?, Mat. Res. Bull. 8
1973
Earlier work this paper cites.
Doplicher, S., R. Haag, and J. E. Roberts, 1974, Local observables and particle statistics. II, Comm. Math. Phys. 35
1974
Earlier work this paper cites.
Fradkin, E., and S. H. Shenker, 1975, Phase diagrams of lattice gauge theories with Higgs fields, Phys. Rev. D 19
1975
Earlier work this paper cites.
Leggett, A. J., 1975, A theoretical description of the new phases of liquid 3 He, Rev. Mod. Phys. 47
1975
Earlier work this paper cites.
Jackiw, R., and C. Rebbi, 1976, Solitons with fermion number 1/2, Phys. Rev. D 13
1976
Earlier work this paper cites.
Leinaas, J. M., and J. Myrheim, 1977, On the theory of identical particles, Nuovo Cimento 37B
1977
Earlier work this paper cites.
Schwarz, A. S., 1978, The partition function of degenerate quadratic functional and ray-singer invariants, Lett. Math. Phys. 2
1978
Earlier work this paper cites.
Kogut, J. B., 1979, An introduction to lattice gauge theory and spin systems, Rev. Mod. Phys. 51
1979
Earlier work this paper cites.
Bais, F. A., 1980, Flux metamorphosis, Nucl. Phys. B170
1980
Earlier work this paper cites.
Fradkin, E., and L. P. Kadanoff, 1980, Disorder variables and para-fermions in two-dimensional statistical mechanics, Nucl. Phys. B 170
1980
Earlier work this paper cites.
Manin, Y. I., 1980, Computable and Uncomputable , volume 21 (Sovetskoye Radio)
1980
Earlier work this paper cites.
Goldin, G. A., R. Menikoff, and D. H. Sharp, 1981, Representations of a local current algebra in nonsimply connected space and the aharonovÐbohm effect, J. Math. Phys. 22
1981
Earlier work this paper cites.
Goldstone, J., and F. Wilczek, 1981, Fractional quantum numbers of solitons, Phys. Rev. Lett. 47
1981
Earlier work this paper cites.
Jackiw, R., and J. R. Schrieffer, 1981, Solitons with fermion number 1/2 in condensed matter and relativistic field theories, Nucl. Phys. B 190
1981
Earlier work this paper cites.
Laughlin, R. B., 1981, Quantized Hall conductivity in two dimensions, Phys. Rev. B 23
1981
Earlier work this paper cites.
McKay, W., and J. Patera, 1981, Tables of dimensions, indices, and branching rules for representations of simple Lie algebras, , volume 69 of Lecture Notes in Pure and Applied Mathematics (M. Dekker, New York)
1981
Earlier work this paper cites.
Su, W. P., and J. R. Schrieffer, 1981, Fractionally charged excitations in charge-density-wave systems with commensurability 3, Phys. Rev. Lett. 46
1981
Earlier work this paper cites.
Deser, S., R. Jackiw, and S. Templeton, 1982, Three-dimensional massive gauge theories, Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
Feynman, R. P., 1982, Simulating physics with computers, International Journal of Theor. Physics 21
1982
Earlier work this paper cites.
Halperin, B. I., 1982, Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential, Phys. Rev. B 25
1982
Earlier work this paper cites.
Klein, D. J., 1982, Exact ground states for a class of antiferromagnetic Heisenberg models with short-range interactions, J. Phys. A. Math. Gen. 15
1982
Earlier work this paper cites.
Tsui, D. C., H. L. Stormer, and A. C. Gossard, 1982, Two-dimensional magnetotransport in the extreme quantum limit, Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
Haldane, F. D. M., 1983, Fractional quantization of the Hall effect: A hierarchy of incompressible quantum fluid states, Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
Halperin, B. I., 1983, Theory of the quantized Hall conductance, Helv. Phys. Acta 56
1983
Earlier work this paper cites.
Laughlin, R. B., 1983, Anomalous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations, Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
Witten, E., 1983, Global aspects of current algebra, Nucl. Phys. B223
1983
Earlier work this paper cites.
Arovas, D., J. R. Schrieffer, and F. Wilczek, 1984, Fractional statistics and the quantum Hall effect, Phys. Rev. Lett. 53
1984
Earlier work this paper cites.
Belavin, A. A., A. M. Polyakov, and A. B. Zamolodchikov, 1984, Infinite conformal symmetry in two-dimensional quantum field theory, Nucl. Phys. B241
1984
Earlier work this paper cites.
Berry, M. V., 1984, Quantal phase factors accompanying adiabatic changes, Proc. Roy. Soc. Lond. A392
1984
Earlier work this paper cites.
Halperin, B. I., 1984, Statistics of quasiparticles and the hierarchy of fractional quantized Hall states, Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
Knizhnik, V. G., and A. B. Zamolodchikov, 1984, Current algebra and wess-zumino model in two dimensions, Nucl. Phys. B247
1984
Earlier work this paper cites.
Tao, R., and Y.-S. Wu, 1984, Gauge invariance and fractional quantum Hall effect, Phys. Rev. B 30
1984
Earlier work this paper cites.
Wu, Y.-S., 1984, General theory for quantum statistics in two dimensions, Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
Deutsch, D., 1985, Quantum theory, the Church-Turing principle and the universal quantum computer, Proceedings of the Royal Society of London A 400
1985
Earlier work this paper cites.
Fateev, V. A., and A. B. Zamolodchikov, 1985, Parafermionic currents in the two-dimensional conformal quantum field theory and selfdual critical points in z ( n ) z(n) invariant statistical systems, Sov. Phys. JETP 62
1985
Earlier work this paper cites.
Jones, V. F. R., 1985, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. 12
1985
Earlier work this paper cites.
Niu, Q., D. J. Thouless, and Y.-S. Wu, 1985, Quantized Hall conductance as a topological invariant, Phys. Rev. B 31
1985
Earlier work this paper cites.
Cardy, J. L., 1986, Operator content of two-dimensional conformally invariant theories, Nucl. Phys. B270
1986
Earlier work this paper cites.
Feynman, R. P., 1986, Quantum mechanical computers, Foundations of Physics 16
1986
Earlier work this paper cites.
Gepner, D., and E. Witten, 1986, String theory on group manifolds, Nucl. Phys. B278
1986
Earlier work this paper cites.
Zhang, F., and S. Das Sarma, 1986, Excitation gap in the fractional quantum Hall effect: Finite layer thickness corrections, Phys.Rev. B 33
1986
Earlier work this paper cites.
Anderson, P. W., 1987, The resonating valence bond state in la 2 cuo 4 and superconductivity, Science 235
1987
Earlier work this paper cites.
Baskaran, G., Z. Zou, and P. W. Anderson, 1987, The resonating valence bond state and high- T c {T}_{c} superconductivity – a mean field theory, Solid State Commun. 63
1987
Earlier work this paper cites.
Boebinger, G., H. Stomer, D. Tsui, A. Chang, J. Hwang, A. Cho, C. Tu, and G. Weimann, 1987, Activation energies and localization in the fractional quantum Hall effect, Phys. Rev. B 36
1987
Earlier work this paper cites.
Gepner, D., and Z.-a. Qiu, 1987, Modular invariant partition functions for parafermionic field theories, Nucl. Phys. B285
1987
Earlier work this paper cites.
Girvin, S. M., and A. H. MacDonald, 1987, Off-diagonal long-range order, oblique confinement and the fractional quantum Hall effect, Phys. Rev. Lett. 58
1987
Earlier work this paper cites.
Kauffman, L., 1987, State models and the Jones polynomial, Topology 26
1987
Earlier work this paper cites.
Kivelson, S. A., D. S. Rokhsar, and J. P. Sethna, 1987, Topology of the resonating valence-bond state: solitons and high- T c {T}_{c} superconductivity, Phys. Rev. B 35
1987
Earlier work this paper cites.
Willett, R., J. P. Eisenstein, H. L. Stormer, D. C. Tsui, A. C. Gossard, and J. H. English, 1987, Observation of an even-denominator quantum number in the fractional quantum Hall effect, Phys. Rev. Lett. 59
1987
Earlier work this paper cites.
Fröhlich, J., and P. A. Marchetti, 1988, Quantum field theory of anyons, Lett. Math. Phys. 16
1988
Earlier work this paper cites.
Gawȩdzki, K., and A. Kupiainen, 1988, G/H conformal field theory from gauged WZW model, Phys. Lett. B 215
1988
Earlier work this paper cites.
Moore, G., and N. Seiberg, 1988, Polynomial equations for rational conformal field theories, Phys. Lett.. B 212
1988
Earlier work this paper cites.
Rokhsar, D. S., and S. A. Kivelson, 1988, Superconductivity and the quantum hard-core dimer gas, Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
Sutherland, B., 1988, Systems with resonating-valence-bond ground states: Correlations and excitations, Phys. Rev. B 37
1988
Earlier work this paper cites.
Verlinde, E., 1988, Fusion rules and modular transformations in 2d conformal field theory, Nuc. Phys. B 300
1988
Earlier work this paper cites.
Willett, R., H. Stormer, D. Tsui, A. Gossard, and J. English, 1988, Quantitative experimental test for the theoretical gap energies in the fractional quantum Hall effect, Phys. Rev. B 37
1988
Earlier work this paper cites.
Aneziris, C., A. P. Balachandran, M. Bourdeau, S. Jo, T. R. Ramadas, and R. D. Sorkin, 1989, Statistics and general relativity, Mod. Phys. Lett. A4
1989
Earlier work this paper cites.
Bonesteel, N. E., 1989, Valence bonds and the Lieb-Schultz-Mattis theorem, Phys. Rev. B 40
1989
Earlier work this paper cites.
Chayes, J. T., L. Chayes, and S. A. Kivelson, 1989, Valence bond ground states in a frustrated two-dimensional spin- 1 / 2 1/2 Heisenberg antiferromagnet, Commun. Math. Pys. 123
1989
Earlier work this paper cites.
Chen, Y., F. Wilczek, E. Witten, and B. Halperin, 1989, On anyon superconductivity, Int. J. Mod. Phys. B 3
1989
Earlier work this paper cites.
Elitzur, S., G. Moore, A. Schwimmer, and N. Seiberg, 1989, Remarks on the canonical quantization of the Chern-Simons-Witten theory, Nuc. Phys. B 326
1989
Earlier work this paper cites.
Fetter, A., C. Hanna, and R. Laughlin, 1989, Random-phase approximation in the fractional-statistics gas, Phys. Rev. B 39
1989
Earlier work this paper cites.
Fredenhagen, K., K. H. Rehren, and B. Schroer, 1989, Superselection sectors with braid group statistics and exchange algebras, Commun. Math. Phys. 125
1989
Earlier work this paper cites.
Fröhlich, J., and P. A. Marchetti, 1989, Quantum field theories of vortices and anyons, Commun. Math. Phys. 121
1989
Earlier work this paper cites.
Jain, J. K., 1989, Composite-fermion approach for the fractional quantum Hall effect, Phys. Rev. Lett. 63
1989
Earlier work this paper cites.
Karabali, D., Q.-H. Park, H. J. Schnitzer, and Z. Yang, 1989, A GKO construction based on a path integral formulation of gauged Wess-Zumino-Witten actions, Phys. Lett. B 216
1989
Earlier work this paper cites.
Kivelson, S. A., 1989, Statistics of holons in the quantum hard-core dimer gas, Phys. Rev. B 39
1989
Earlier work this paper cites.
Moore, G., and N. Seiberg, 1989, Classical and quantum conformal field theory, Commun. Math. Phys. 123
1989
Earlier work this paper cites.
Read, N., 1989, Order parameter and Ginzburg-Landau theory for the fractional quantum Hall effect, Phys. Rev. Lett. 62
1989
Earlier work this paper cites.
Read, N., and B. Chakraborty, 1989, Statistics of the excitations of the resonating-valence-bond state, Phys. Rev. B 40
1989
Earlier work this paper cites.
Witten, E., 1989, Quantum field theory and the Jones polynomial, Comm. Math. Phys. 121
1989
Earlier work this paper cites.
Zhang, S. C., T. H. Hansson, and S. Kivelson, 1989, Effective-field-theory model for the fractional quantum Hall effect, Phys. Rev. Lett. 62
1989
Earlier work this paper cites.
Blok, B., and X. G. Wen, 1990, Effective theories of the fractional quantum Hall effect: Hierarchy construction, Phys. Rev. B 42
1990
Earlier work this paper cites.
Dijkgraaf, R., and E. Witten, 1990, Topological gauge theories and group cohomology, Commun. Math. Phys. 129
1990
Earlier work this paper cites.
Eisenstein, J. P., R. L. Willett, H. L. Stormer, L. N. Pfeiffer, and K. W. West, 1990, Activation energies for the even-denominator fractional quantum Hall effect, Surface Science 229
1990
Earlier work this paper cites.
Fröhlich, J., and F. Gabbiani, 1990, Braid statistics in local quantum theory, Rev. Math. Phys. 2
1990
Earlier work this paper cites.
Imbo, T. D., C. S. Imbo, and E. C. G. Sudarshan, 1990, Identical particles, exotic statistics and braid groups, Phys. Lett. B234
1990
Earlier work this paper cites.
Imbo, T. D., and J. March-Russell, 1990, Exotic statistics on surfaces, Phys. Lett. B 252
1990
Earlier work this paper cites.
Kivelson, S. A., and D. S. Rokhsar, 1990, Bogoliubov quasiparticles, spinons, and spin-charge decoupling in superconductors, Phys. Rev. B 41
1990
Earlier work this paper cites.
Prange, R., and S. M. Girvin (eds.), 1990, The Quantum Hall effect (Springer-Verlag, New York)
1990
Earlier work this paper cites.
Read, N., 1990, Excitation structure of the hierarchy scheme in the fractional quantum Hall effect, Phys. Rev. Lett. 65
1990
Earlier work this paper cites.
Rokhsar, D. S., 1990, Solitons in chiral-spin liquids, Phys. Rev. Lett. 65
1990
Earlier work this paper cites.
Stormer, H. L., L. N. Pfeiffer, K. W. Baldwin, and K. W. West, 1990, Observation of a Bloch-Grüneisen regime in two-dimensional electron transport, Phys. Rev. B 41
1990
Earlier work this paper cites.
Verlinde, E., 1990, in Proceedings of the International Colloquium on Modern Quantum Field Theory (World Scientific, Singapore)
1990
Earlier work this paper cites.
Wen, X. G., 1990, Topological orders in rigid states, Int. J. Mod. Phys. B 4
1990
Earlier work this paper cites.
Wen, X. G., and Q. Niu, 1990, Ground-state degeneracy of the fractional quantum Hall states in the presence of a random potential and on high-genus riemann surfaces, Phys. Rev. B 41
1990
Earlier work this paper cites.
Wilczek, F., 1990, Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore)
1990
Earlier work this paper cites.
Balatsky, A., and E. Fradkin, 1991, Singlet quantum Hall effect and Chern-Simons theories, Phys. Rev. B 43
1991
Earlier work this paper cites.
Frohlich, J., and P. A. Marchetti, 1991, Spin-statistics theorem and scattering in planar quantum field theories with braid statistics, Nucl. Phys. B356
1991
Earlier work this paper cites.
Fubini, S., 1991, Vertex operators and quantum hall effect, Mod. Phys. Lett. A6
1991
Earlier work this paper cites.
Fubini, S., and C. A. Lutken, 1991, Vertex operators in the fractional quantum Hall effect, Mod. Phys. Lett. A6
1991
Earlier work this paper cites.
Greiter, M., X.-G. Wen, and F. Wilczek, 1991, Paired Hall state at half filling, Phys. Rev. Lett. 66
1991
Earlier work this paper cites.
He, S., X. C. Xie, S. Das Sarma, and F. C. Zhang, 1991, Quantum Hall effect in double-quantum-well systems, Phys. Rev. B 43
1991
Earlier work this paper cites.
López, A., and E. Fradkin, 1991, Fractional quantum Hall effect and Chern-Simons gauge theories, Phys. Rev. B 44
1991
Earlier work this paper cites.
Moore, G., and N. Read, 1991, Nonabelions in the fractional quantum Hall effect, Nucl. Phys. B 360
1991
Earlier work this paper cites.
Thouless, D. J., and Y. Gefen, 1991, Fractional quantum Hall effect and multiple Aharonov-Bohm periods, Phys. Rev. Lett. 66
1991
Earlier work this paper cites.
Walker, K., 1991, On witten’s 3-manifold invariants, available at http://canyon23.net/math/1991TQFTNotes.pdf
1991
Earlier work this paper cites.
Bais, F. A., P. van Driel, and M. de Wild Propitius, 1992, Quantum symmetries in discrete gauge theories, Phys. Lett. B280
1992
Earlier work this paper cites.
Blok, B., and X.-G. Wen, 1992, Many-body systems with non-Abelian statistics, Nuc. Phys. B 374
1992
Earlier work this paper cites.
Fuchs, J., 1992, Affine Lie Algebras and Quantum Groups (Cambridge University Press)
1992
Earlier work this paper cites.
Greiter, M., X. G. Wen, and F. Wilczek, 1992, Paired Hall states, Nucl. Phys. B 374
1992
Earlier work this paper cites.
Kawamura, T., and S. Das Sarma, 1992, Phonon-scattering-limited electron mobilities in Al x
1992
Earlier work this paper cites.
Turaev, V. G., and O. Y. Viro, 1992, State sum invariants of 3-manifolds and quantum 6j-symbols, Topology 31
1992
Earlier work this paper cites.
Wen, X. G., 1992, Theory of the edge states in fractional quantum Hall effects, Intl. J. Mod. Phys. B 6
1992
Cited alongside, same era.
Wen, X. G., and A. Zee, 1992, Classification of Abelian quantum Hall states and matrix formulation of topological fluids, Phys. Rev. B 46
1992
Cited alongside, same era.
Du, R. R., H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, and K. W. West, 1993, Experimental evidence for new particles in the fractional quantum Hall effect, Phys. Rev. Lett. 70
1993
Cited alongside, same era.
Halperin, B. I., P. A. Lee, and N. Read, 1993, Theory of the half-filled Landau level, Phys. Rev. B 47
1993
Cited alongside, same era.
He, S., S. Das Sarma, and X. C. Xie, 1993, Quantized Hall effect and quantum phase transitions in coupled two-layer electron systems, Phys.. Rev. B 47
1993
Cited alongside, same era.
Read, N., 2003, Non-Abelian braid statistics versus projective permutation statistics, J. Math Phys 44
2003
Later among the works it cites.
Shimizu, Y., K. Miyagawa, K. Kanoda, M. Maesato, and G. Saito, 2003, Spin liquid state in an organic Mott insulator with a triangular lattice, Phys. Rev. Lett. 91
2003
Later among the works it cites.
Tserkovnyak, Y., and S. H. Simon, 2003, Monte carlo evaluation of non-Abelian statistics, Phys. Rev. Lett. 90
2003
Later among the works it cites.
Bretin, V., S. Stock, Y. Seurin, and J. Dalibard, 2004, Fast rotation of a bose-einstein condensate, Phys. Rev. Lett. 92
2004
Later among the works it cites.
Chang, C.-C., and J. K. Jain, 2004, Microscopic origin of the next-generation fractional quantum Hall effect, Phys. Rev. Lett. 92
2004
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Lo, H.-K., and J. Preskill, 1993, Non-abelian vortices and non-abelian statistics, Phys. Rev. D 48
1993
Cited alongside, same era.
Kauffman, L., and S. Lins, 1994, Temperley-Lieb Recoupling theory and invariants of 3-manifolds. , volume 134 of Ann. Math. Stud. (Princeton Univ. Press)
1994
Cited alongside, same era.
Lee, T., and P. Oh, 1994, Non-Abelian Chern-Simons quantum mechanics, Phys. Rev. Lett. 72
1994
Cited alongside, same era.
Shor, P. W., 1994, in Proc. 35nd Annual Symposium on Foundations of Computer Science (IEEE Computer Society Press, Los Alamitos, CA), pp. 124–134, shafi Goldwasser, ed
1994
Cited alongside, same era.
Turaev, V. G., 1994, Quantum Invariants of Knots and 3-Manifolds (Walter de Gruyter, Berlin, New York)
1994
Cited alongside, same era.
Volovik, G. E., 1994, The Universe in a Helium Droplet (Oxford University Press)
1994
Cited alongside, same era.
Wen, X.-G., and Y.-S. Wu, 1994, Chiral operator product algebra hidden in certain fractional quantum Hall wave functions, Nucl. Phys. B 419
1994
Cited alongside, same era.
Douçot, B., L. B. Ioffe, and J. Vidal, 2004, Discrete non-Abelian gauge theories in Josephson-junction arrays and quantum computation, Phys. Rev. B 69
2004
Later among the works it cites.
Freedman, M., C. Nayak, K. Shtengel, K. Walker, and Z. Wang, 2004, A class of P , T {P},{T} -invariant topological phases of interacting electrons, Ann. Phys. (N.Y.) 310
2004
Later among the works it cites.
Goerbig, M. O., P. Lederer, and C. M. Smith, 2004, Second generation of composite fermions and the self-similarity of the fractional quantum Hall effect, Int J. Mod. Phys. B 18
2004
Later among the works it cites.
Hansson, T. H., V. Oganesyan, and S. L. Sondhi, 2004, Superconductors are topologically ordered, Ann. Phys. (N.Y.) 313
2004
Later among the works it cites.
Kauffman, L. H., and S. J. Lomonaco Jr., 2004, Braiding operators are universal quantum gates, New J. Phys 6
2004
Later among the works it cites.
López, A., and E. Fradkin, 2004, Fermion Chern-Simons theory of hierarchical fractional quantum Hall states, Phys. Rev. B 69
2004
Later among the works it cites.
Mochon, C., 2004, Anyon computers with smaller groups, Phys. Rev. A 69
2004
Later among the works it cites.
Mueller, E. J., 2004, Artificial electromagnetism for neutral atoms: Escher staircase and laughlin liquids, Phys. Rev. A 70
2004
Later among the works it cites.
Popp, M., B. Paredes, and J. I. Cirac, 2004, Adiabatic path to fractional quantum hall states of a few bosonic atoms, Phys. Rev. A 70
2004
Later among the works it cites.
Preskill, J., 2004, Lecture notes for physics 219:quantum computation, available at http://www.theory.caltech.edu/ ∼ \sim preskill/ph219/ph219_2004.html
2004
Later among the works it cites.
Schweikhard, V., I. Coddington, P. Engels, V. P. Mogendorff, and E. A. Cornell, 2004, Rapidly rotating bose-einstein condensates in and near the lowest landau level, Physical Review Letters 92
2004
Later among the works it cites.
Stern, A., F. von Oppen, and E. Mariani, 2004, Geometric phases and quantum entanglement as building blocks for non-Abelian quasiparticle statistics, Phys. Rev. B 70
2004
Later among the works it cites.
Wen, X.-G., 2004, Quantum Field Theory of Many-body Systems (Oxford University Press)
2004
Later among the works it cites.
Wojs, A., K.-S. Yi, and J. J. Quinn, 2004, Fractional quantum Hall states of clustered composite fermions, Phys. Rev. B 69
2004
Later among the works it cites.
Xia, J. S., W. Pan, C. L. Vicente, E. D. Adams, N. S. Sullivan, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, 2004, Electron correlation in the second Landau level: A competition between many nearly degenerate quantum phases, Phys. Rev. Lett. 93
2004
Later among the works it cites.
Bonesteel, N. E., L. Hormozi, G. Zikos, and S. H. Simon, 2005, Braid topologies for quantum computation, Phys. Rev. Lett. 95
2005
Later among the works it cites.
Camino, F. E., W. Zhou, and V. J. Goldman, 2005, Realization of a laughlin quasiparticle interferometer: Observation of fractional statistics, Phys. Rev. B 72
2005
Later among the works it cites.
Das Sarma, S., M. Freedman, and C. Nayak, 2005, Topologically protected qubits from a possible non-Abelian fractional quantum Hall state, Phys. Rev. Lett. 94
2005
Later among the works it cites.
Doucot, B., M. V. Feigel’man, L. B. Ioffe, and A. S. Ioselevich, 2005, Protected qubits and chern-simons theories in josephson junction arrays, Phys. Rev. B 71
2005
Later among the works it cites.
Fendley, P., and E. Fradkin, 2005, Realizing non-Abelian statistics in time-reversal-invariant systems, Phys. Rev. B 72
2005
Later among the works it cites.
Gurarie, V., L. Radzihovsky, and A. V. Andreev, 2005, Quantum phase transitions across a p-wave feshbach resonance, Phys. Rev. Lett. 94
2005
Later among the works it cites.
Jaksch, D., and P. Zoller, 2005, The cold atom hubbard toolbox, Ann. Phys. (N.Y.) 351
2005
Later among the works it cites.
Larsen, M. J., E. C. Rowell, and Z. Wang, 2005, The n n -eigenvalue problem and two applications, Intl. Math. Res. Not. 64
2005
Later among the works it cites.
Marzuoli, A., and M. Rasetti, 2005, Spin network setting of topological quantum computation, Int. J. of Quant. Info. 3
2005
Later among the works it cites.
Pachos, J. K., 2005, Quantum computation with Abelian anyons on the honeycomb lattice, cond-mat/0511273
2005
Later among the works it cites.
Rezayi, E. H., N. Read, and N. R. Cooper, 2005, Incompressible liquid state of rapidly rotating bosons at filling factor 3/2, Phys. Rev. Lett. 95
2005
Later among the works it cites.
Sørensen, A. S., E. Demler, and M. D. Lukin, 2005, Fractional quantum hall states of atoms in optical lattices, Physical Review Letters 94
2005
Later among the works it cites.
Bena, C., and C. Nayak, 2006, Effects of non-Abelian statistics on two-terminal shot noise in a quantum Hall liquid in the Pfaffian state, Phys. Rev. B 73
2006
Later among the works it cites.
Bergholtz, E. J., J. Kailasvuori, E. Wikberg, T. H. Hansson, and A. Karlhede, 2006, Pfaffian quantum Hall state made simple: Multiple vacua and domain walls on a thin torus, Phys. Rev. B 74
2006
Later among the works it cites.
Bravyi, S., 2006, Universal quantum computation with the ν = 5 / 2 \nu=5/2 fractional quantum Hall state, Phys. Rev. A 73
2006
Later among the works it cites.
Chung, S. B., and M. Stone, 2006, Proposal for reading out anyon qubits in non-Abelian ν = 12 / 5 \nu=12/5 quantum Hall state, Phys. Rev. B 73
2006
Later among the works it cites.
Collins, G., 2006, Computing with quantum knots, Sci. American 4
2006
Later among the works it cites.
Dyakonov, M. I., 2006, Is fault-tolerant quantum computation really possible?, arXiv:quant-ph/0610117
2006
Later among the works it cites.
Feldman, D. E., Y. Gefen, A. Kitaev, K. T. Law, and A. Stern, 2006, Shot noise in anyonic Mach-Zehnder interferometer, arXiv:cond-mat/0612608
2006
Later among the works it cites.
Feldman, D. E., and A. Kitaev, 2006, Detecting non-Abelian statistics with an electronic Mach-Zehnder interferometer, Phys. Rev. Lett. 97
2006
Later among the works it cites.
Fendley, P., M. P. A. Fisher, and C. Nayak, 2006, Dynamical disentanglement across a point contact in a non-Abelian quantum Hall state, Phys. Rev. Lett. 97
2006
Later among the works it cites.
Fidkowski, L., M. Freedman, C. Nayak, K. Walker, and Z. Wang, 2006, From string nets to nonabelions, cond-mat/0610583
2006
Later among the works it cites.
Freedman, M., C. Nayak, and K. Walker, 2006, Towards universal topological quantum computation in the ν = 5 / 2 \nu=5/2 fractional quantum Hall state, Phys. Rev. B 73
2006
Later among the works it cites.
Georgiev, L. S., 2006, Topologically protected gates for quantum computation with non-Abelian anyons in the Pfaffian quantum Hall state, Phys. Rev. B 74
2006
Later among the works it cites.
Georgiev, L. S., and M. R. Geller, 2006, Aharonov-bohm effect in the non-Abelian quantum Hall fluid, Phys. Rev. B 73
2006
Later among the works it cites.
Grosfeld, E., S. H. Simon, and A. Stern, 2006, Switching noise as a probe of statistics in the fractional quantum Hall effect, Phys. Rev. Lett. 96
2006
Later among the works it cites.
Grosfeld, E., and A. Stern, 2006, Electronic transport in an array of quasiparticles in the ν = 5 / 2 \nu=5/2 non-Abelian quantum Hall state, Phys. Rev. B 73
2006
Later among the works it cites.
Hou, C.-Y., and C. Chamon, 2006, “wormhole” geometry for entrapping topologically protected qubits in non-Abelian quantum Hall states and probing them with voltage and noise measurements, Phys. Rev. Lett. 97
2006
Later among the works it cites.
Kidwingira, F., J. D. Strand, D. J. Van Harlingen, and Y. Maeno, 2006, Dynamical Superconducting Order Parameter Domains in Sr 2 RuO 4 , Science 314
2006
Later among the works it cites.
Kitaev, A. Y., 2006, Anyons in an exactly solved model and beyond, Ann. Phys. (N.Y.) 321
2006
Later among the works it cites.
Kitaev, A. Y., and J. Preskill, 2006, Topological entanglement entropy, Phys. Rev. Lett. 96
2006
Later among the works it cites.
Levin, M. A., and X.-G. Wen, 2006, Detecting topological order in a ground state wave function, Phys. Rev. Lett. 96
2006
Later among the works it cites.
Pachos, J. K., 2006, The wavefunction of an anyon, cond-mat/0605068
2006
Later among the works it cites.
Read, N., 2006, Wavefunctions and counting formulas for quasiholes of clustered quantum Hall states on a sphere, Phys. Rev. B 73
2006
Later among the works it cites.
Rezayi, E. H., and N. Read, 2006, Non-Abelian quantized Hall states of electrons at filling factors 12/5 and 13/5 in the first excited Landau level, cond-mat/0608346
2006
Later among the works it cites.
Seidel, A., and D.-H. Lee, 2006, Abelian and non-Abelian Hall liquids and charge-density wave: Quantum number fractionalization in one and two dimensions, Phys. Rev. Lett. 97
2006
Later among the works it cites.
Simon, S. H., N. E. Bonesteel, M. H. Freedman, N. Petrovic, and L. Hormozi, 2006, Topological quantum computing with only one mobile quasiparticle, Phys. Rev. Lett. 96
2006
Later among the works it cites.
Stern, A., and B. I. Halperin, 2006, Proposed experiments to probe the non-Abelian ν = 5 / 2 \nu=5/2 quantum Hall state, Phys. Rev. Lett. 96
2006
Later among the works it cites.
Stone, M., and S.-B. Chung, 2006, Fusion rules and vortices in p x + i p y {p_{x}}+i{p_{y}} superconductors, Phys. Rev. B 73
2006
Later among the works it cites.
Toke, C., and J. K. Jain, 2006, Understanding the 5/2 fractional quantum Hall effect without the Pfaffian wave function, Phys. Rev. Lett. 96
2006
Later among the works it cites.
Wan, X., K. Yang, and E. H. Rezayi, 2006, Edge excitations and non-Abelian statistics in the Moore-Read state: A numerical study in the presence of coulomb interaction and edge confinement, Phys. Rev. Lett. 97
2006
Later among the works it cites.
Witzel, W. M., and S. Das Sarma, 2006, Quantum theory for electron spin decoherence induced by nuclear spin dynamics in semiconductor quantum computer architectures: Spectral diffusion of localized electron spins in the nuclear solid-state environment, Phys. Rev. B 74
2006
Later among the works it cites.
Wojs, A., and J. J. Quinn, 2006, Landau level mixing in the ν = 5 / 2 \nu=5/2 fractional quantum Hall state, Phys. Rev. B 74
2006
Later among the works it cites.
Wojs, A., D. Wodzinski, and J. J. Quinn, 2006, Second generation of Moore-Read quasiholes in a composite-fermion liquid, Phys. Rev. B 74
2006
Later among the works it cites.
Xia, J., Y. Maeno, P. T. Beyersdorf, M. M. Fejer, and A. Kapitulnik, 2006, High resolution polar kerr effect measurements of Sr 2 RuO 4 : Evidence for broken time-reversal symmetry in the superconducting state, Phys. Rev. Lett. 97
2006
Later among the works it cites.
Zhang, C., V. Scarola, S. Tewari, and S. Das Sarma, 2006, Anyonic braiding in optical lattices, quant-ph/0609101
2006
Later among the works it cites.
2007
Closest in time.
Ardonne, E., and K. Schoutens, 2007, Wavefunctions for topological quantum registers, Ann. Phys. (N.Y.) 322
2007
Closest in time.
Bishara, W., and C. Nayak, 2007, Non-Abelian anyon superconductivity, phys. Rev. Lett. (in press); cond-mat/0703097
2007
Closest in time.
Bonderson, P., K. Shtengel, and J. K. Slingerland, 2007, Decoherence of anyonic charge in interferometry measurements, Phys. Rev. Lett. 98
2007
Closest in time.
Bonesteel, N. E., and K. Yang, 2007, Infinite-randomness fixed points for chains of non-abelian quasiparticles, Physical Review Letters 99
2007
Closest in time.
2007
Closest in time.
Chen, H.-D., and J. Hu, 2007, Majorana fermions, exact mappings between classical and topological orders, cond-mat/0702366
2007
Closest in time.
2007
Closest in time.
Chung, S. B., and M. Stone, 2007, Explicit monodromy of Moore-Read wavefunctions on a torus, J. of Physics A: Math. and Theor. 40
2007
Closest in time.
Cooper, N. R., and E. H. Rezayi, 2007, Competing compressible and incompressible phases in rotating atomic bose gases at filling factor ν = 2 \nu=2 , Phys. Rev. A 75
2007
Closest in time.
Fendley, P., 2007, Quantum loop models and the non-abelian toric code, arXiv:0711.0014
2007
Closest in time.
Fidkowski, L., 2007, Double point contact in the k=3 read-rezayi state, arXiv:0704.3291
2007
Closest in time.
Gaebler, J. P., J. T. Stewart, J. L. Bohn, and D. S. Jin, 2007, p-wave feshbach molecules, Phys. Rev. Lett. 98
2007
Closest in time.
2007
Closest in time.
Grosfeld, E., N. R. Cooper, A. Stern, and R. Ilan, 2007, Predicted signatures of p p -wave superfluid phases and Majorana zero modes of fermionic atoms in rf absorption, Phys. Rev. B 76
2007
Closest in time.
Hormozi, L., G. Zikos, N. E. Bonesteel, and S. H. Simon, 2007, Topological quantum compiling, Phys. Rev. B 75
2007
Closest in time.
2007
Closest in time.
Jolicoeur, T., 2007, Non-abelian states with negative flux: A new series of quantum Hall states, Physical Review Letters 99
2007
Closest in time.
Kauffman, L. H., and S. J. Lomonaco Jr., 2007, q q -deformed spin networks, knot polynomials and anyonic topological quantum computation, J. Knot Theory Ramifications 16
2007
Closest in time.
Kirtley, J. R., C. Kallin, C. W. Hicks, E. A. Kim, Y. Liu, K. A. Moler, Y. Maeno, and K. D. Nelson, 2007, Upper limit on spontaneous supercurrents in sr 2 ruo 4 , arXiv.org:0704.3364
2007
Closest in time.
2007
Closest in time.
Levinsen, J., N. Cooper, and V. Gurarie, 2007, Strongly-resonant p-wave superfluids, arXiv:0705.4460
2007
Closest in time.
Manfra, M. J., R. de Picciotto, Z. Jiang, S. H. Simon, L. N. Pfeiffer, K. W. West, and A. M. Sergent, 2007, Impact of spin-orbit coupling on quantum Hall nematic phases, Phys. Rev. Lett. 98
2007
Closest in time.
Miller, J. B., I. P. Radu, D. M. Zumbuhl, E. M. Levenson-Falk, M. A. Kastner, C. M. Marcus, L. N. Pfeiffer, and K. W. West, 2007, Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2, Nature Phys. 3
2007
Closest in time.
Moller, G., and S. H. Simon, 2007, Paired composite fermion wavefunctions, arXiv:0708.2680
2007
Closest in time.
Oshikawa, M., Y. B. Kim, K. Shtengel, C. Nayak, and S. Tewari, 2007, Topological degeneracy of non-Abelian states for dummies, Ann. Phys. (N.Y.) 322
2007
Closest in time.
Overbosch, B. J., and X.-G. Wen, 2007, Dynamical and scaling properties of ν = 5 / 2 \nu=5/2 interferometer
2007
Closest in time.
Peterson, M. R., and S. Das Sarma, 2007, unpublished
2007
Closest in time.
Rezayi, E. H., 2007, unpublished
2007
Closest in time.
Rosenow, B., B. Halperin, S. Simon, and A. Stern, 2007, Bulk-edge coupling in the non-abelian ν = 5 / 2 \nu=5/2 quantum Hall interferometer
2007
Closest in time.
Rosenow, B., and B. I. Halperin, 2007, Influence of interactions on flux and back-gate period of quantum Hall interferometers, Phys. Rev. Lett. 98
2007
Closest in time.
Simon, S. H., 2007, Effect of landau level mixing on braiding statistics, arXiv:0710.1088
2007
Closest in time.
Toke, C., N. Regnault, and J. K. Jain, 2007, Nature of excitations of the 5/2 fractional quantum Hall effect, Phys. Rev. Lett. 98
2007
Closest in time.
Tracy, L. A., J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, 2007, Spin transition in the half-filled Landau level, Phys. Rev. Lett. 98
2007
Closest in time.
Trebst, S., P. Werner, M. Troyer, K. Shtengel, and C. Nayak, 2007, Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension, Phys. Rev. Lett. 98
2007
Closest in time.
Willett, R. L., M. J. Manfra, L. N. Pfeiffer, and K. W. West, 2007, Confinement of fractional quantum Hall states in narrow conducting channels, Appl. Phys. Lett. 91
2007
Closest in time.
2007
Closest in time.
Kalmeyer, V., and R. B. Laughlin, 1987, Equivalence of the resonating-valence-bond and fractional quantum Hall states, Phys. Rev. Lett. 59
2095
Closest in time.
Su, W. P., J. R. Schrieffer, and A. J. Heeger, 1980, Soliton excitations in polyacetylene, Phys. Rev. B 22
2099
Closest in time.