L. Tarruell, D. Greif, T. Uehlinger, G. Jotzu, and T. Esslinger, “Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice,” Nature 483, 302–305 (2012).

[CrossRef]

S. L. Zhu, L.-B. Shao, Z. D. Wang, and L.-M. Duan, “Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid,” Phys. Rev. Lett. 106, 100404 (2011).

[CrossRef]

Z.-Y. Xue, “Detecting non-Abelian statistics of Majorana fermions in quantum nanowire networks,” J. Exp. Theor. Phys. Lett. 94, 213 (2011).

[CrossRef]

Z.-Y. Xue, “Simulation of anyonic fractional statistics of Kitaev’s toric model in circuit QED,” Europhys. Lett. 93, 20007 (2011).

[CrossRef]

J. Q. You, X.-F. Shi, X. Hu, and F. Nori, “Quantum emulation of a spin system with topologically protected ground states using superconducting quantum circuits,” Phys. Rev. B 81, 014505 (2010).

[CrossRef]

A. Stern, “Non-Abelian states of matter,” Nature 464, 187–193 (2010).

[CrossRef]

C.-Y. Lu, W.-B. Gao, O. Gühne, X.-Q. Zhou, Z.-B. Chen, and J.-W. Pan, “Demonstrating anyonic fractional statistics with a six-qubit quantum simulator,” Phys. Rev. Lett. 102, 030502 (2009).

[CrossRef]

J. K. Pachos, W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, and H. Weinfurter, “Revealing anyonic features in a toric code quantum simulation,” New J. Phys. 11, 083010 (2009).

[CrossRef]

K. L. Lee, B. Grmaud, R. Han, B.-G. Englert, and C. Miniatura, “Ultracold fermions in a graphene-type optical lattice,” Phys. Rev. A 80, 043411 (2009).

[CrossRef]

I. Bloch, J. Dalibard, and W. Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80, 885 (2008).

[CrossRef]

S. Dusuel, K. P. Schmidt, and J. Vidal, “Creation and manipulation of Anyons in the Kitaev model,” Phys. Rev. Lett. 100, 177204 (2008).

[CrossRef]

J. Vidal, K. P. Schmidt, and S. Dusuel, “Perturbative approach to an exactly solved problem: Kitaev honeycomb model,” Phys. Rev. B 78, 245121 (2008).

[CrossRef]

J. Zhang, C. Xie, K. Peng, and P. van Loock, “Anyon statistics with continuous variables,” Phys. Rev. A 78, 052121 (2008).

[CrossRef]

M. Aguado, G. K. Brennen, F. Verstraete, and J. I. Cirac, “Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices,” Phys. Rev. Lett. 101, 260501 (2008).

[CrossRef]

L. Jiang, G. K. Brennen, A. V. Gorshkov, K. Hammerer, M. Hafezi, E. Demler, M. D. Lukin, and P. Zoller, “Anyonic interferometry and protected memories in atomic spin lattices,” Nat. Phys. 4, 482–488 (2008).

[CrossRef]

C. Zhang, V. W. Scarola, S. Tewari, and S. Das Sarma, “Anyonic braiding in optical lattices,” Proc. Natl. Acad. Sci. USA 104, 18415–18420 (2007).

[CrossRef]

S. Tewari, S. Das Sarma, C. Nayak, C. Zhang, and P. Zoller, “Quantum computation using vortices and Majorana zero modes of a px+ipy superfluid of fermionic cold atoms,” Phys. Rev. Lett. 98, 010506 (2007).

[CrossRef]

Y.-J. Han, R. Raussendorf, and L.-M. Duan, “Scheme for demonstration of fractional statistics of anyons in an exactly solvable model,” Phys. Rev. Lett. 98, 150404 (2007).

[CrossRef]

S.-L. Zhu, B. G. Wang, and L.-M. Duan, “Simulation and detection of Dirac fermions with cold atoms in an optical lattice,” Phys. Rev. Lett. 98, 260402 (2007).

[CrossRef]

A. Kitaev, “Anyons in an exactly solved model and beyond,” Ann. Phys. (N.Y.) 321, 2–111 (2006).

[CrossRef]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral atom quantum register,” Phys. Rev. Lett. 93, 150501 (2004).

[CrossRef]

S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede, “Coherence properties and quantum state transportation in an optical conveyor belt,” Phys. Rev. Lett. 91, 213002 (2003).

[CrossRef]

L.-M. Duan, E. Demler, and M. D. Lukin, “Controlling spin exchange interactions of ultracold atoms in optical lattice,” Phys. Rev. Lett. 91, 090402 (2003).

[CrossRef]

A. Yu. Kitaev, “Fault-tolerant quantum computation by anyons,” Ann. Phys. 303, 2–30 (2003).

[CrossRef]

D. A. Ivanov, “Non-Ablelian statistics of half-quantum vortices in p-wave superconductors,” Phys. Rev. Lett. 86, 268–271 (2001).

[CrossRef]

M. D. Lukin, M. Fleischhauer, R. Cote, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87, 037901 (2001).

[CrossRef]

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).

[CrossRef]

G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, “Quantum logic gates in optical lattices,” Phys. Rev. Lett. 82, 1060–1063 (1999).

[CrossRef]

G. Moore and N. Read, “Nonabelians in the fractional quantum Hall effect,” Nucl. Phys. B 360, 362–396 (1991).

[CrossRef]

B. I. Halperin, “Statistics of quasi-particles and the hierarchy of fractional quantized Hall states,” Phys. Rev. Lett. 52, 1583–1586 (1984).

[CrossRef]

R. B. Laughlin, “Anomalous quantum Hall effect: an incompressible quantum fluid with fractional charged excitation,” Phys. Rev. Lett. 50, 1395–1398 (1983).

[CrossRef]

M. Aguado, G. K. Brennen, F. Verstraete, and J. I. Cirac, “Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices,” Phys. Rev. Lett. 101, 260501 (2008).

[CrossRef]

S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede, “Coherence properties and quantum state transportation in an optical conveyor belt,” Phys. Rev. Lett. 91, 213002 (2003).

[CrossRef]

I. Bloch, J. Dalibard, and W. Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80, 885 (2008).

[CrossRef]

L. Jiang, G. K. Brennen, A. V. Gorshkov, K. Hammerer, M. Hafezi, E. Demler, M. D. Lukin, and P. Zoller, “Anyonic interferometry and protected memories in atomic spin lattices,” Nat. Phys. 4, 482–488 (2008).

[CrossRef]

M. Aguado, G. K. Brennen, F. Verstraete, and J. I. Cirac, “Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices,” Phys. Rev. Lett. 101, 260501 (2008).

[CrossRef]

G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, “Quantum logic gates in optical lattices,” Phys. Rev. Lett. 82, 1060–1063 (1999).

[CrossRef]

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).

[CrossRef]

G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, “Quantum logic gates in optical lattices,” Phys. Rev. Lett. 82, 1060–1063 (1999).

[CrossRef]

C.-Y. Lu, W.-B. Gao, O. Gühne, X.-Q. Zhou, Z.-B. Chen, and J.-W. Pan, “Demonstrating anyonic fractional statistics with a six-qubit quantum simulator,” Phys. Rev. Lett. 102, 030502 (2009).

[CrossRef]

M. Aguado, G. K. Brennen, F. Verstraete, and J. I. Cirac, “Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices,” Phys. Rev. Lett. 101, 260501 (2008).

[CrossRef]

M. D. Lukin, M. Fleischhauer, R. Cote, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87, 037901 (2001).

[CrossRef]

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).

[CrossRef]

M. D. Lukin, M. Fleischhauer, R. Cote, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87, 037901 (2001).

[CrossRef]

I. Bloch, J. Dalibard, and W. Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80, 885 (2008).

[CrossRef]

S. Tewari, S. Das Sarma, C. Nayak, C. Zhang, and P. Zoller, “Quantum computation using vortices and Majorana zero modes of a px+ipy superfluid of fermionic cold atoms,” Phys. Rev. Lett. 98, 010506 (2007).

[CrossRef]

C. Zhang, V. W. Scarola, S. Tewari, and S. Das Sarma, “Anyonic braiding in optical lattices,” Proc. Natl. Acad. Sci. USA 104, 18415–18420 (2007).

[CrossRef]

L. Jiang, G. K. Brennen, A. V. Gorshkov, K. Hammerer, M. Hafezi, E. Demler, M. D. Lukin, and P. Zoller, “Anyonic interferometry and protected memories in atomic spin lattices,” Nat. Phys. 4, 482–488 (2008).

[CrossRef]

L.-M. Duan, E. Demler, and M. D. Lukin, “Controlling spin exchange interactions of ultracold atoms in optical lattice,” Phys. Rev. Lett. 91, 090402 (2003).

[CrossRef]

G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, “Quantum logic gates in optical lattices,” Phys. Rev. Lett. 82, 1060–1063 (1999).

[CrossRef]

P. A. M. Dirac, Principles of Quantum Mechanics (Oxford University, 1930).

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral atom quantum register,” Phys. Rev. Lett. 93, 150501 (2004).

[CrossRef]

S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede, “Coherence properties and quantum state transportation in an optical conveyor belt,” Phys. Rev. Lett. 91, 213002 (2003).

[CrossRef]

M. D. Lukin, M. Fleischhauer, R. Cote, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87, 037901 (2001).

[CrossRef]

S. L. Zhu, L.-B. Shao, Z. D. Wang, and L.-M. Duan, “Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid,” Phys. Rev. Lett. 106, 100404 (2011).

[CrossRef]

Y.-J. Han, R. Raussendorf, and L.-M. Duan, “Scheme for demonstration of fractional statistics of anyons in an exactly solvable model,” Phys. Rev. Lett. 98, 150404 (2007).

[CrossRef]

S.-L. Zhu, B. G. Wang, and L.-M. Duan, “Simulation and detection of Dirac fermions with cold atoms in an optical lattice,” Phys. Rev. Lett. 98, 260402 (2007).

[CrossRef]

L.-M. Duan, E. Demler, and M. D. Lukin, “Controlling spin exchange interactions of ultracold atoms in optical lattice,” Phys. Rev. Lett. 91, 090402 (2003).

[CrossRef]

S. Dusuel, K. P. Schmidt, and J. Vidal, “Creation and manipulation of Anyons in the Kitaev model,” Phys. Rev. Lett. 100, 177204 (2008).

[CrossRef]

J. Vidal, K. P. Schmidt, and S. Dusuel, “Perturbative approach to an exactly solved problem: Kitaev honeycomb model,” Phys. Rev. B 78, 245121 (2008).

[CrossRef]

K. L. Lee, B. Grmaud, R. Han, B.-G. Englert, and C. Miniatura, “Ultracold fermions in a graphene-type optical lattice,” Phys. Rev. A 80, 043411 (2009).

[CrossRef]

L. Tarruell, D. Greif, T. Uehlinger, G. Jotzu, and T. Esslinger, “Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice,” Nature 483, 302–305 (2012).

[CrossRef]

M. D. Lukin, M. Fleischhauer, R. Cote, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87, 037901 (2001).

[CrossRef]

C.-Y. Lu, W.-B. Gao, O. Gühne, X.-Q. Zhou, Z.-B. Chen, and J.-W. Pan, “Demonstrating anyonic fractional statistics with a six-qubit quantum simulator,” Phys. Rev. Lett. 102, 030502 (2009).

[CrossRef]

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).

[CrossRef]

S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede, “Coherence properties and quantum state transportation in an optical conveyor belt,” Phys. Rev. Lett. 91, 213002 (2003).

[CrossRef]

L. Jiang, G. K. Brennen, A. V. Gorshkov, K. Hammerer, M. Hafezi, E. Demler, M. D. Lukin, and P. Zoller, “Anyonic interferometry and protected memories in atomic spin lattices,” Nat. Phys. 4, 482–488 (2008).

[CrossRef]

L. Tarruell, D. Greif, T. Uehlinger, G. Jotzu, and T. Esslinger, “Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice,” Nature 483, 302–305 (2012).

[CrossRef]

K. L. Lee, B. Grmaud, R. Han, B.-G. Englert, and C. Miniatura, “Ultracold fermions in a graphene-type optical lattice,” Phys. Rev. A 80, 043411 (2009).

[CrossRef]

C.-Y. Lu, W.-B. Gao, O. Gühne, X.-Q. Zhou, Z.-B. Chen, and J.-W. Pan, “Demonstrating anyonic fractional statistics with a six-qubit quantum simulator,” Phys. Rev. Lett. 102, 030502 (2009).

[CrossRef]

L. Jiang, G. K. Brennen, A. V. Gorshkov, K. Hammerer, M. Hafezi, E. Demler, M. D. Lukin, and P. Zoller, “Anyonic interferometry and protected memories in atomic spin lattices,” Nat. Phys. 4, 482–488 (2008).

[CrossRef]

B. I. Halperin, “Statistics of quasi-particles and the hierarchy of fractional quantized Hall states,” Phys. Rev. Lett. 52, 1583–1586 (1984).

[CrossRef]

L. Jiang, G. K. Brennen, A. V. Gorshkov, K. Hammerer, M. Hafezi, E. Demler, M. D. Lukin, and P. Zoller, “Anyonic interferometry and protected memories in atomic spin lattices,” Nat. Phys. 4, 482–488 (2008).

[CrossRef]

K. L. Lee, B. Grmaud, R. Han, B.-G. Englert, and C. Miniatura, “Ultracold fermions in a graphene-type optical lattice,” Phys. Rev. A 80, 043411 (2009).

[CrossRef]

Y.-J. Han, R. Raussendorf, and L.-M. Duan, “Scheme for demonstration of fractional statistics of anyons in an exactly solvable model,” Phys. Rev. Lett. 98, 150404 (2007).

[CrossRef]

J. Q. You, X.-F. Shi, X. Hu, and F. Nori, “Quantum emulation of a spin system with topologically protected ground states using superconducting quantum circuits,” Phys. Rev. B 81, 014505 (2010).

[CrossRef]

D. A. Ivanov, “Non-Ablelian statistics of half-quantum vortices in p-wave superconductors,” Phys. Rev. Lett. 86, 268–271 (2001).

[CrossRef]

M. D. Lukin, M. Fleischhauer, R. Cote, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87, 037901 (2001).

[CrossRef]

D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, “Entanglement of atoms via cold controlled collisions,” Phys. Rev. Lett. 82, 1975–1978 (1999).

[CrossRef]

G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, “Quantum logic gates in optical lattices,” Phys. Rev. Lett. 82, 1060–1063 (1999).

[CrossRef]

L. Jiang, G. K. Brennen, A. V. Gorshkov, K. Hammerer, M. Hafezi, E. Demler, M. D. Lukin, and P. Zoller, “Anyonic interferometry and protected memories in atomic spin lattices,” Nat. Phys. 4, 482–488 (2008).

[CrossRef]

L. Tarruell, D. Greif, T. Uehlinger, G. Jotzu, and T. Esslinger, “Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice,” Nature 483, 302–305 (2012).

[CrossRef]

A. Khare, Fractional Statistics and Quantum Theory (World Scientific, 2005).

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral atom quantum register,” Phys. Rev. Lett. 93, 150501 (2004).

[CrossRef]

S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede, “Coherence properties and quantum state transportation in an optical conveyor belt,” Phys. Rev. Lett. 91, 213002 (2003).

[CrossRef]

J. K. Pachos, W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, and H. Weinfurter, “Revealing anyonic features in a toric code quantum simulation,” New J. Phys. 11, 083010 (2009).

[CrossRef]

A. Kitaev, “Anyons in an exactly solved model and beyond,” Ann. Phys. (N.Y.) 321, 2–111 (2006).

[CrossRef]

A. Yu. Kitaev, “Fault-tolerant quantum computation by anyons,” Ann. Phys. 303, 2–30 (2003).

[CrossRef]

S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede, “Coherence properties and quantum state transportation in an optical conveyor belt,” Phys. Rev. Lett. 91, 213002 (2003).

[CrossRef]

R. B. Laughlin, “Anomalous quantum Hall effect: an incompressible quantum fluid with fractional charged excitation,” Phys. Rev. Lett. 50, 1395–1398 (1983).

[CrossRef]

K. L. Lee, B. Grmaud, R. Han, B.-G. Englert, and C. Miniatura, “Ultracold fermions in a graphene-type optical lattice,” Phys. Rev. A 80, 043411 (2009).

[CrossRef]

C.-Y. Lu, W.-B. Gao, O. Gühne, X.-Q. Zhou, Z.-B. Chen, and J.-W. Pan, “Demonstrating anyonic fractional statistics with a six-qubit quantum simulator,” Phys. Rev. Lett. 102, 030502 (2009).

[CrossRef]

L. Jiang, G. K. Brennen, A. V. Gorshkov, K. Hammerer, M. Hafezi, E. Demler, M. D. Lukin, and P. Zoller, “Anyonic interferometry and protected memories in atomic spin lattices,” Nat. Phys. 4, 482–488 (2008).

[CrossRef]

L.-M. Duan, E. Demler, and M. D. Lukin, “Controlling spin exchange interactions of ultracold atoms in optical lattice,” Phys. Rev. Lett. 91, 090402 (2003).

[CrossRef]

M. D. Lukin, M. Fleischhauer, R. Cote, L. M. Duan, D. Jaksch, J. I. Cirac, and P. Zoller, “Dipole blockade and quantum information processing in mesoscopic atomic ensembles,” Phys. Rev. Lett. 87, 037901 (2001).

[CrossRef]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral atom quantum register,” Phys. Rev. Lett. 93, 150501 (2004).

[CrossRef]

S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede, “Coherence properties and quantum state transportation in an optical conveyor belt,” Phys. Rev. Lett. 91, 213002 (2003).

[CrossRef]

K. L. Lee, B. Grmaud, R. Han, B.-G. Englert, and C. Miniatura, “Ultracold fermions in a graphene-type optical lattice,” Phys. Rev. A 80, 043411 (2009).

[CrossRef]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral atom quantum register,” Phys. Rev. Lett. 93, 150501 (2004).

[CrossRef]

S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede, “Coherence properties and quantum state transportation in an optical conveyor belt,” Phys. Rev. Lett. 91, 213002 (2003).

[CrossRef]

G. Moore and N. Read, “Nonabelians in the fractional quantum Hall effect,” Nucl. Phys. B 360, 362–396 (1991).

[CrossRef]

S. Tewari, S. Das Sarma, C. Nayak, C. Zhang, and P. Zoller, “Quantum computation using vortices and Majorana zero modes of a px+ipy superfluid of fermionic cold atoms,” Phys. Rev. Lett. 98, 010506 (2007).

[CrossRef]

J. Q. You, X.-F. Shi, X. Hu, and F. Nori, “Quantum emulation of a spin system with topologically protected ground states using superconducting quantum circuits,” Phys. Rev. B 81, 014505 (2010).

[CrossRef]

J. K. Pachos, W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, and H. Weinfurter, “Revealing anyonic features in a toric code quantum simulation,” New J. Phys. 11, 083010 (2009).

[CrossRef]

C.-Y. Lu, W.-B. Gao, O. Gühne, X.-Q. Zhou, Z.-B. Chen, and J.-W. Pan, “Demonstrating anyonic fractional statistics with a six-qubit quantum simulator,” Phys. Rev. Lett. 102, 030502 (2009).

[CrossRef]

J. Zhang, C. Xie, K. Peng, and P. van Loock, “Anyon statistics with continuous variables,” Phys. Rev. A 78, 052121 (2008).

[CrossRef]

J. K. Pachos, W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, and H. Weinfurter, “Revealing anyonic features in a toric code quantum simulation,” New J. Phys. 11, 083010 (2009).

[CrossRef]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral atom quantum register,” Phys. Rev. Lett. 93, 150501 (2004).

[CrossRef]

S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede, “Coherence properties and quantum state transportation in an optical conveyor belt,” Phys. Rev. Lett. 91, 213002 (2003).

[CrossRef]

Y.-J. Han, R. Raussendorf, and L.-M. Duan, “Scheme for demonstration of fractional statistics of anyons in an exactly solvable model,” Phys. Rev. Lett. 98, 150404 (2007).

[CrossRef]

G. Moore and N. Read, “Nonabelians in the fractional quantum Hall effect,” Nucl. Phys. B 360, 362–396 (1991).

[CrossRef]

S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede, “Coherence properties and quantum state transportation in an optical conveyor belt,” Phys. Rev. Lett. 91, 213002 (2003).

[CrossRef]

C. Zhang, V. W. Scarola, S. Tewari, and S. Das Sarma, “Anyonic braiding in optical lattices,” Proc. Natl. Acad. Sci. USA 104, 18415–18420 (2007).

[CrossRef]

J. K. Pachos, W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, and H. Weinfurter, “Revealing anyonic features in a toric code quantum simulation,” New J. Phys. 11, 083010 (2009).

[CrossRef]

J. Vidal, K. P. Schmidt, and S. Dusuel, “Perturbative approach to an exactly solved problem: Kitaev honeycomb model,” Phys. Rev. B 78, 245121 (2008).

[CrossRef]

S. Dusuel, K. P. Schmidt, and J. Vidal, “Creation and manipulation of Anyons in the Kitaev model,” Phys. Rev. Lett. 100, 177204 (2008).

[CrossRef]

D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, “Neutral atom quantum register,” Phys. Rev. Lett. 93, 150501 (2004).

[CrossRef]

S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede, “Coherence properties and quantum state transportation in an optical conveyor belt,” Phys. Rev. Lett. 91, 213002 (2003).

[CrossRef]

S. L. Zhu, L.-B. Shao, Z. D. Wang, and L.-M. Duan, “Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid,” Phys. Rev. Lett. 106, 100404 (2011).

[CrossRef]

J. Q. You, X.-F. Shi, X. Hu, and F. Nori, “Quantum emulation of a spin system with topologically protected ground states using superconducting quantum circuits,” Phys. Rev. B 81, 014505 (2010).

[CrossRef]

A. Stern, “Non-Abelian states of matter,” Nature 464, 187–193 (2010).

[CrossRef]

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