-
3
-
-
0000440057
-
Superselection sectors with braid group statistics and exchange algebras
-
Fredenhagen K., Rehren K.H., and Schroer B. Superselection sectors with braid group statistics and exchange algebras. Commun. Math. Phys. 125 (1989) 201
-
(1989)
Commun. Math. Phys.
, vol.125
, pp. 201
-
-
Fredenhagen, K.1
Rehren, K.H.2
Schroer, B.3
-
4
-
-
0000253059
-
Braid statistics in local quantum theory
-
Fröhlich J., and Gabbiani F. Braid statistics in local quantum theory. Rev. Math. Phys. 2 (1990) 251
-
(1990)
Rev. Math. Phys.
, vol.2
, pp. 251
-
-
Fröhlich, J.1
Gabbiani, F.2
-
5
-
-
0030551998
-
Scattering states of plektons (particles with braid group statistics) in 2 + 1 dimensional quantum field theory
-
hep-th/9410115
-
Fredenhagen K., Gaberdiel M.R., and Rueger S.M. Scattering states of plektons (particles with braid group statistics) in 2 + 1 dimensional quantum field theory. Commun. Math. Phys. 75 (1996) 319. hep-th/9410115
-
(1996)
Commun. Math. Phys.
, vol.75
, pp. 319
-
-
Fredenhagen, K.1
Gaberdiel, M.R.2
Rueger, S.M.3
-
6
-
-
4244151327
-
Insulating and fractional quantum Hall states in the first excited Landau level
-
Eisenstein J., Cooper K., Pfeiffer L., and West K. Insulating and fractional quantum Hall states in the first excited Landau level. Phys. Rev. Lett. 88 (2002) 076801
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 076801
-
-
Eisenstein, J.1
Cooper, K.2
Pfeiffer, L.3
West, K.4
-
7
-
-
20844445954
-
Electron correlation in the second Landau level: A competition between many nearly degenerated quantum phases
-
Xia J., Pan W., Vicente C., Adams E., Sullivan N., Stormer H., Tsui D., Pfeiffer L., Baldwin K., and West K. Electron correlation in the second Landau level: A competition between many nearly degenerated quantum phases. Phys. Rev. Lett. 93 (2004) 176809
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 176809
-
-
Xia, J.1
Pan, W.2
Vicente, C.3
Adams, E.4
Sullivan, N.5
Stormer, H.6
Tsui, D.7
Pfeiffer, L.8
Baldwin, K.9
West, K.10
-
8
-
-
0000049832
-
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect
-
cond-mat/9906453
-
Read N., and Green D. Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect. Phys. Rev. B 61 (2000) 10267. cond-mat/9906453
-
(2000)
Phys. Rev. B
, vol.61
, pp. 10267
-
-
Read, N.1
Green, D.2
-
9
-
-
0035129985
-
Non-Abelian statistics of half-quantum vortices in p-wave superconductors
-
Ivanov D. Non-Abelian statistics of half-quantum vortices in p-wave superconductors. Phys. Rev. Lett. 86 (2001) 268
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 268
-
-
Ivanov, D.1
-
10
-
-
0001525628
-
Transition from quantum Hall to compressible states in the second Landau level: New light on the ν = 5 / 2 enigma
-
cond-mat/9809024
-
Morf R. Transition from quantum Hall to compressible states in the second Landau level: New light on the ν = 5 / 2 enigma. Phys. Rev. Lett. 80 (1998) 1505. cond-mat/9809024
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 1505
-
-
Morf, R.1
-
11
-
-
0001603766
-
Incompressible paired Hall state, strip order and composite fermion liquid phase in half-filled Landau level
-
cond-mat/9906137
-
Rezayi E., and Haldane F. Incompressible paired Hall state, strip order and composite fermion liquid phase in half-filled Landau level. Phys. Rev. Lett. 84 (2000) 4685. cond-mat/9906137
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 4685
-
-
Rezayi, E.1
Haldane, F.2
-
12
-
-
1842460762
-
Nonabelions in the fractional quantum Hall effect
-
Moore G., and Read N. Nonabelions in the fractional quantum Hall effect. Nucl. Phys. B 360 (1991) 362
-
(1991)
Nucl. Phys. B
, vol.360
, pp. 362
-
-
Moore, G.1
Read, N.2
-
14
-
-
0033473699
-
A unified conformal field theory approach to paired quantum Hall states
-
preprint ESI-621 (1998)
-
Cappelli A., Georgiev L.S., and Todorov I.T. A unified conformal field theory approach to paired quantum Hall states. Commun. Math. Phys. 205 (1999) 657-689 preprint ESI-621 (1998)
-
(1999)
Commun. Math. Phys.
, vol.205
, pp. 657-689
-
-
Cappelli, A.1
Georgiev, L.S.2
Todorov, I.T.3
-
16
-
-
0030760945
-
-
de Picciotto R., Reznikov M., Meiblum M., Umansky V., Bunin G., and Mahalu D. Nature (London) 389 (1997) 162
-
(1997)
Nature (London)
, vol.389
, pp. 162
-
-
de Picciotto, R.1
Reznikov, M.2
Meiblum, M.3
Umansky, V.4
Bunin, G.5
Mahalu, D.6
-
17
-
-
32644485839
-
Proposed experiments to probe the non-Abelian ν = 5 / 2 quantum Hall state
-
cond-mat/0508447
-
Stern A., and Halperin B.I. Proposed experiments to probe the non-Abelian ν = 5 / 2 quantum Hall state. Phys. Rev. Lett. 94 (2006) 016802. cond-mat/0508447
-
(2006)
Phys. Rev. Lett.
, vol.94
, pp. 016802
-
-
Stern, A.1
Halperin, B.I.2
-
18
-
-
32644462561
-
Detecting non-Abelian statistics in the ν = 5 / 2 fractional quantum Hall state
-
cond-mat/0508616
-
Bonderson P., Kitaev A., and Shtengel K. Detecting non-Abelian statistics in the ν = 5 / 2 fractional quantum Hall state. Phys. Rev. Lett. 96 (2006) 016803. cond-mat/0508616
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 016803
-
-
Bonderson, P.1
Kitaev, A.2
Shtengel, K.3
-
19
-
-
33646366191
-
Aharonov-Bohm effect in the non-Abelian quantum Hall fluid
-
cond-mat/0511236
-
Georgiev L.S., and Geller M.R. Aharonov-Bohm effect in the non-Abelian quantum Hall fluid. Phys. Rev. B 73 (2006) 205310. cond-mat/0511236
-
(2006)
Phys. Rev. B
, vol.73
, pp. 205310
-
-
Georgiev, L.S.1
Geller, M.R.2
-
20
-
-
33750597621
-
Detecting non-Abelian statistics with electronic Mach-Zehnder interferometer
-
cond-mat/0607541
-
Feldman D.E., and Kitaev A. Detecting non-Abelian statistics with electronic Mach-Zehnder interferometer. Phys. Rev. Lett. 97 (2006) 186803. cond-mat/0607541
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 186803
-
-
Feldman, D.E.1
Kitaev, A.2
-
21
-
-
33745761508
-
Probing non-Abelian statistics with two-particle interferometry
-
cond-mat/0601242
-
Bonderson P., Shtengel K., and Slingerland J.K. Probing non-Abelian statistics with two-particle interferometry. Phys. Rev. Lett. 97 (2006) 016401. cond-mat/0601242
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 016401
-
-
Bonderson, P.1
Shtengel, K.2
Slingerland, J.K.3
-
22
-
-
33745074117
-
Proposal for reading out anyon qubits in non-Abelian ν = 12 / 5 quantum Hall state
-
cond-mat/0601594
-
Chung S.B., and Stone M. Proposal for reading out anyon qubits in non-Abelian ν = 12 / 5 quantum Hall state. Phys. Rev. B 73 (2006) 245311. cond-mat/0601594
-
(2006)
Phys. Rev. B
, vol.73
, pp. 245311
-
-
Chung, S.B.1
Stone, M.2
-
23
-
-
0000011912
-
Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level
-
Read N., and Rezayi E. Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level. Phys. Rev. B 59 (1998) 8084
-
(1998)
Phys. Rev. B
, vol.59
, pp. 8084
-
-
Read, N.1
Rezayi, E.2
-
24
-
-
0035832125
-
Parafermion Hall states from coset projections of Abelian conformal theories
-
hep-th/0009229
-
Cappelli A., Georgiev L.S., and Todorov I.T. Parafermion Hall states from coset projections of Abelian conformal theories. Nucl. Phys. B 599 (2001) 499-530. hep-th/0009229
-
(2001)
Nucl. Phys. B
, vol.599
, pp. 499-530
-
-
Cappelli, A.1
Georgiev, L.S.2
Todorov, I.T.3
-
26
-
-
0037268624
-
Fault-tolerant quantum computation by anyons
-
Kitaev A. Fault-tolerant quantum computation by anyons. Ann. Phys. (N.Y.) 303 (2003) 2
-
(2003)
Ann. Phys. (N.Y.)
, vol.303
, pp. 2
-
-
Kitaev, A.1
-
27
-
-
6944228928
-
Braiding operators are universal quantum gates
-
quant-ph/0401090
-
Kauffman L.H., and Lomonaco Jr. S.J. Braiding operators are universal quantum gates. New J. Phys. 6 (2004) 134. quant-ph/0401090
-
(2004)
New J. Phys.
, vol.6
, pp. 134
-
-
Kauffman, L.H.1
Lomonaco Jr., S.J.2
-
28
-
-
30444447442
-
Topological Quantum Computation
-
Preskill J. Topological Quantum Computation. Lecture Notes for Physics vol. 219 (2004). http://www.theory.caltech.edu/~preskill/ph219
-
(2004)
Lecture Notes for Physics
, vol.219
-
-
Preskill, J.1
-
29
-
-
18144395852
-
Topologically-protected qubits from a possible non-Abelian fractional quantum Hall state
-
cond-mat/0412343
-
Sarma S.D., Freedman M., and Nayak C. Topologically-protected qubits from a possible non-Abelian fractional quantum Hall state. Phys. Rev. Lett. 94 (2005) 166802. cond-mat/0412343
-
(2005)
Phys. Rev. Lett.
, vol.94
, pp. 166802
-
-
Sarma, S.D.1
Freedman, M.2
Nayak, C.3
-
30
-
-
33744908572
-
Towards universal topological quantum computation in the ν = 5 / 2 fractional quantum Hall state
-
cond-mat/0512066
-
Freedman M., Nayak C., and Walker K. Towards universal topological quantum computation in the ν = 5 / 2 fractional quantum Hall state. Phys. Rev. B 73 (2006) 245307. cond-mat/0512066
-
(2006)
Phys. Rev. B
, vol.73
, pp. 245307
-
-
Freedman, M.1
Nayak, C.2
Walker, K.3
-
31
-
-
0031065015
-
A classification of quantum Hall fluids
-
cond-mat/9503113
-
Fröhlich J., Studer U.M., and Thiran E. A classification of quantum Hall fluids. J. Stat. Phys. 86 (1997) 821. cond-mat/9503113
-
(1997)
J. Stat. Phys.
, vol.86
, pp. 821
-
-
Fröhlich, J.1
Studer, U.M.2
Thiran, E.3
-
32
-
-
0001532622
-
Two-dimensional conformal field theory and three-dimensional topology
-
Fröhlich J., and King C. Two-dimensional conformal field theory and three-dimensional topology. Int. J. Mod. Phys. A 4 (1996) 5321
-
(1996)
Int. J. Mod. Phys. A
, vol.4
, pp. 5321
-
-
Fröhlich, J.1
King, C.2
-
33
-
-
0035343564
-
Universality in quantum Hall systems: Coset construction of incompressible states
-
cond-mat/0002330
-
Fröhlich J., Pedrini B., Schweigert C., and Walcher J. Universality in quantum Hall systems: Coset construction of incompressible states. J. Stat. Phys. 103 (2001) 527. cond-mat/0002330
-
(2001)
J. Stat. Phys.
, vol.103
, pp. 527
-
-
Fröhlich, J.1
Pedrini, B.2
Schweigert, C.3
Walcher, J.4
-
34
-
-
0037450386
-
The ν = 5 / 2 quantum Hall state revisited: Spontaneous breaking of the chiral fermion parity and phase transition between Abelian and non-Abelian statistics
-
hep-th/0108173
-
Georgiev L.S. The ν = 5 / 2 quantum Hall state revisited: Spontaneous breaking of the chiral fermion parity and phase transition between Abelian and non-Abelian statistics. Nucl. Phys. B 651 (2003) 331-360. hep-th/0108173
-
(2003)
Nucl. Phys. B
, vol.651
, pp. 331-360
-
-
Georgiev, L.S.1
-
36
-
-
33750456972
-
Topological quantum distillation
-
quant-ph/0605138
-
Bombin H., and Martin-Delgado M. Topological quantum distillation. Phys. Rev. Lett. 97 (2006) 180501. quant-ph/0605138
-
(2006)
Phys. Rev. Lett.
, vol.97
, pp. 180501
-
-
Bombin, H.1
Martin-Delgado, M.2
-
37
-
-
0035944935
-
Quantum computation with quasiparticles of the fractional quantum Hall effect
-
cond-mat/0110193
-
Averin D.V., and Goldman V.J. Quantum computation with quasiparticles of the fractional quantum Hall effect. Solid State Commun. 121 (2002) 25. cond-mat/0110193
-
(2002)
Solid State Commun.
, vol.121
, pp. 25
-
-
Averin, D.V.1
Goldman, V.J.2
-
38
-
-
0003359419
-
Quantum Information and Computation
-
Preskill J. Quantum Information and Computation. Lecture Notes for Physics vol. 229 (1998). http://www.theory.caltech.edu/~preskill/ph229
-
(1998)
Lecture Notes for Physics
, vol.229
-
-
Preskill, J.1
-
39
-
-
0030592675
-
n - 1-dimensional spinor braiding statistics in paired quantum Hall states
-
cond-mat/9605145
-
n - 1-dimensional spinor braiding statistics in paired quantum Hall states. Nucl.Phys. B 479 (1996) 529. cond-mat/9605145
-
(1996)
Nucl.Phys. B
, vol.479
, pp. 529
-
-
Nayak, C.1
Wilczek, F.2
-
40
-
-
0035486388
-
Quantum groups and non-Abelian braiding in quantum Hall systems
-
cond-mat/0104035
-
Slingerland J.K., and Bais F.A. Quantum groups and non-Abelian braiding in quantum Hall systems. Nucl. Phys. B 612 (2001) 229-290. cond-mat/0104035
-
(2001)
Nucl. Phys. B
, vol.612
, pp. 229-290
-
-
Slingerland, J.K.1
Bais, F.A.2
-
41
-
-
33344456520
-
Universal quantum computation with ideal Clifford gates and noisy ancillas
-
Bravyi S., and Kitaev A. Universal quantum computation with ideal Clifford gates and noisy ancillas. Phys. Rev. A 71 (2005) 022316
-
(2005)
Phys. Rev. A
, vol.71
, pp. 022316
-
-
Bravyi, S.1
Kitaev, A.2
-
42
-
-
42749105009
-
Geometric phases and quantum entanglement as building blocks for non-Abelian quasiparticle statistics
-
Stern A., von Oppen F., and Mariani E. Geometric phases and quantum entanglement as building blocks for non-Abelian quasiparticle statistics. Phys. Rev. B 70 (2004) 205338
-
(2004)
Phys. Rev. B
, vol.70
, pp. 205338
-
-
Stern, A.1
von Oppen, F.2
Mariani, E.3
-
43
-
-
0031343312
-
Quantum antidot as an electrometer: Observation of fractional charge
-
Goldman V. Quantum antidot as an electrometer: Observation of fractional charge. Physica E 1 (1997) 15-20
-
(1997)
Physica E
, vol.1
, pp. 15-20
-
-
Goldman, V.1
-
44
-
-
35748932103
-
-
C. Nayak, private communication, 2005
-
-
-
-
45
-
-
0037468764
-
An electronic Mach-Zehnder interferometer
-
Ji Y., Chung Y., Sprinzak D., Heiblum M., Mahalu D., and Shtrikman H. An electronic Mach-Zehnder interferometer. Nature 422 (2003) 415
-
(2003)
Nature
, vol.422
, pp. 415
-
-
Ji, Y.1
Chung, Y.2
Sprinzak, D.3
Heiblum, M.4
Mahalu, D.5
Shtrikman, H.6
-
46
-
-
0035672279
-
Inequivalent classes of interference experiments with non-Abelian anyons
-
Overbosch B.J., and Bais F.A. Inequivalent classes of interference experiments with non-Abelian anyons. Phys. Rev. A 64 (2001) 062107
-
(2001)
Phys. Rev. A
, vol.64
, pp. 062107
-
-
Overbosch, B.J.1
Bais, F.A.2
-
47
-
-
51249172252
-
Two-dimensional conformal quantum field theory
-
Furlan P., Sotkov G., and Todorov I. Two-dimensional conformal quantum field theory. Riv. Nuovo Cimento 12 6 (1989) 1
-
(1989)
Riv. Nuovo Cimento
, vol.12
, Issue.6
, pp. 1
-
-
Furlan, P.1
Sotkov, G.2
Todorov, I.3
-
48
-
-
33845801623
-
Topologically protected gates for quantum computation with non-Abelian anyons in the Pfaffian quantum Hall state
-
cond-mat/0607125
-
Georgiev L.S. Topologically protected gates for quantum computation with non-Abelian anyons in the Pfaffian quantum Hall state. Phys. Rev. B 74 (2006) 235112. cond-mat/0607125
-
(2006)
Phys. Rev. B
, vol.74
, pp. 235112
-
-
Georgiev, L.S.1
-
53
-
-
0037329568
-
Non-Abelian braid statistics versus projective permutation statistics
-
Read N. Non-Abelian braid statistics versus projective permutation statistics. J. Math. Phys. 44 (2003) 558
-
(2003)
J. Math. Phys.
, vol.44
, pp. 558
-
-
Read, N.1
-
55
-
-
25444442101
-
Yang-baxterizations, universal quantum gates and Hamiltonians
-
quant-ph/0502015
-
Zhang Y., Kauffman L.H., and Ge M.-L. Yang-baxterizations, universal quantum gates and Hamiltonians. Quant. Inf. Proc. 4 (2005) 159. quant-ph/0502015
-
(2005)
Quant. Inf. Proc.
, vol.4
, pp. 159
-
-
Zhang, Y.1
Kauffman, L.H.2
Ge, M.-L.3
-
56
-
-
0000515995
-
Exact quantization of the even-denominator fractional quantum Hall state at ν = 5 / 2 Landau level filling factor
-
cond-mat/9907356
-
Pan W., Xia J.-S., Shvarts V., Adams D.E., Störmer H.L., Tsui D.C., Pfeiffer L.N., Baldwin K.W., and West K.W. Exact quantization of the even-denominator fractional quantum Hall state at ν = 5 / 2 Landau level filling factor. Phys. Rev. Lett. 83 (1999) 3530. cond-mat/9907356
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 3530
-
-
Pan, W.1
Xia, J.-S.2
Shvarts, V.3
Adams, D.E.4
Störmer, H.L.5
Tsui, D.C.6
Pfeiffer, L.N.7
Baldwin, K.W.8
West, K.W.9
|