Introductory reading
Sankar Das Sarma, Michael Freedman, and Chetan NayakTopological quantum computation
Physics Today 7, 32 (2006).
Graham P. Collins
Computing with Quantum Knots
Scientific American 4, 57 (2006).
Charles Day
Devices Based on the Fractional Quantum Hall Effect
May Fulfill the Promise of Quantum Computing
Physics Today 10, 21 (2005).
Charles Day
Superconductor forms domains that break time-revearsal symmetry
Physics Today 12, 23 (2006).
Further reading
- Quantum Hall regime
- Quantum lattice models
- px+ipy Superconducting/Superfluid States
- Ultracold atoms
- Topological quantum field theories
- Topological quantum computing
Quantum Hall regime
Parsa Bonderson and J. K. Slingerland
Fractional Quantum Hall Hierarchy and the Second Landau Level
arXiv:0711.3204
Parsa Bonderson, Kirill Shtengel, and J. K. Slingerland
Interferometry of non-Abelian Anyons
arXiv:0707.4206
Eddy Ardonne and Eun-Ah Kim
Hearing non-abelian statistics from a Moore-Read double point contact interferometer
arXiv:0705.2902
Lukasz Fidkowski
Double Point Contact in the k=3 Read-Rezayi State
arXiv:0704.3291
Parsa Bonderson, Kirill Shtengel, and J. K. Slingerland
Decoherence of Anyonic Charge in Interferometry Measurements
Phys. Rev. Lett. 98, 070401 (2007).
Paul Fendley, M.P.A. Fisher, and Chetan Nayak
Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
Phys. Rev. B 75, 045317 (2007).
E. Ardonne and K. Schoutens
Wavefunctions for topological quantum registers
Ann. Phys. 322, 201 (2007) and cond-mat/0606217.
[related press release]
Parsa Bonderson, Kirill Shtengel, and J. K. Slingerland
Probing Non-Abelian Statistics with Quasiparticle Interferometry
Phys. Rev. Lett. 97, 016401 (2006).
D. E. Feldman and Alexei Kitaev
Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
Phys. Rev. Lett. 97, 186803 (2006).
Paul Fendley, M.P.A. Fisher, and Chetan Nayak
Dynamical Disentanglement across a Point Contact in a Non-Abelian Quantum Hall State
Phys. Rev. Lett. 97, 036801 (2006).
Parsa Bonderson, Alexei Kitaev, and Kirill Shtengel
Detecting Non-Abelian Statistics in the Fractional Quantum Hall State
Phys. Rev. Lett. 96, 016803 (2006).
Michael Freedman, Chetan Nayak, Kevin Walker
Towards Universal Topological Quantum Computation
in the Fractional Quantum Hall State
Phys. Rev. B 73, 245307 (2006).
Cristina Bena and Chetan Nayak
Effects of non-Abelian statistics on two-terminal shot noise in a quantum Hall liquid in the Pfaffian state
Phys. Rev. B 73, 155335 (2006).
Sankar Das Sarma, Michael Freedman, Chetan Nayak
Topologically Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall
Phys. Rev. Lett 94, 166802 (2005).
Quantum lattice models
S. Trebst, E. Ardonne, A. Feiguin, D. A. Huse, A. W. W. Ludwig, and M. TroyerCollective states of interacting Fibonacci anyons
arXiv/0801.4602
A. Feiguin, S. Trebst, A. Ludwig, M. Troyer, A. Kitaev, Z. Wang, and M. Freedman
Interacting anyons in topological quantum liquids: The golden chain
Phys. Rev. Lett. 98, 160409 (2007).
[related press interview]
Simon Trebst, Philipp Werner, Matthias Troyer, Kirill Shtengel, and Chetan Nayak
Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
Phys. Rev. Lett. 98, 070602 (2007).
Alexei Kitaev
Anyons in an exactly solved model and beyond
Ann. Phys. 321, 2 (2006) and cond-mat/0506438.
M. Freedman, C. Nayak, and K. Shtengel
Extended Hubbard Model with Ring Exchange: A Route to a Non-Abelian Topological Phase
Phys. Rev. Lett. 94, 066401 (2005).
E. Ardonne, P. Fendley, and E. Fradkin
Topological order and conformal quantum critical points
Ann. Phys. 310, 493 (2004) and cond-mat/0311466.
Alexei Kitaev
Fault-tolerant quantum computation by anyons
Ann. Phys. 303, 2 (2003) and quant-ph/9707021.
px+ipy Superconducting/Superfluid States
Sumanta Tewari, Chuanwei Zhang, S. Das Sarma, Chetan Nayak, Dung-Hai Lee
Non-local quantum phenomena associated with the Majorana fermion bound states in a px+ipy superconductor
cond-mat/0703717
Waheb Bishara and Chetan Nayak
Non-Abelian Anyon Superconductivity
Phys. Rev. Lett. 99, 066401 (2007).
Masaki Oshikawa, Yong Baek Kim, Kirill Shtengel, Chetan Nayak, and Sumanta Tewari
Topological degeneracy of non-Abelian states for dummies
Ann. Phys. 322, 1477 (2007) and cond-mat/0607743.
Sumanta Tewari, Sankar Das Sarma, Chetan Nayak, Chuanwei Zhang, amd Peter Zoller
Quantum Computation Using Vortices and Majorana Zero Modes of a Superfluid of Fermionic Cold Atoms
Phys. Rev. Lett. 98, 010506 (2007).
Sankar Das Sarma, Chetan Nayak, and Sumanta Tewari
Proposal to stabilize and detect half-quantum vortices in strontium ruthenate thin films:
Non-Abelian braiding statistics of vortices in a superconductor
Phys. Rev. B 73, 220502(R) (2006).
Ultracold atoms
Topological quantum field theories
Lukasz Fidkowski, Michael Freedman, Chetan Nayak, Kevin Walker, Zhenghan WangFrom String Nets to Nonabelions
cond-mat/0610583
Paul Fendley, Matthew P.A. Fisher, Chetan Nayak
Topological Entanglement Entropy from the Holographic Partition Function
J. Stat. Phys. 126, 1111 (2007).
Michael Freedman, Chetan Nayak, and Kevin Walker
Tilted Interferometry Realizes Universal Quantum Computation in the Ising TQFT without Overpasses
cond-mat/0512072
Michael H Freedman, Alexei Kitaev, Chetan Nayak, Johannes K Slingerland, Kevin Walker, and Zhenghan Wang
Universal manifold pairings and positivity
Geom. Topol. 9 2303 (2005).
E. Ardonne, R. Kedem, and M. Stone
Filling the Bose sea: symmetric quantum Hall edge states and affine characters
J. Phys. A 38, 617 (2005) and cond-mat/0409369.
Michael Freedman, Chetan Nayak, Kirill Shtengel, Kevin Walker, and Zhenghan Wang
A Class of P,T-Invariant Topological Phases of Interacting Electrons
Ann. Phys. 310, 428 (2004) and cond-mat/0307511.
Topological quantum computing
Parsa Bonderson, Michael Freedman, Chetan NayakMeasurement-Only Topological Quantum Computation
arXiv/0802.0279