M. Takita, A. D. Córcoles, E. Magesan, B. Abdo, M. Brink, A. Cross, J. M. Chow, and J. M. Gambetta, “Demonstration of weight-four parity measurements in the surface code architecture,” Phys. Rev. Lett. 117, 210505 (2016).

[Crossref]

A. J. Landahl, J. T. Anderson, and P. R. Rice, “Fault-tolerant quantum computing with color codes,” arXiv:1108.5738 (2011).

R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, and Y. Chen, “Superconducting quantum circuits at the surface code threshold for fault tolerance,” Nature 508, 500–503 (2014).

[Crossref]

M. Hein, J. Eisert, and H. J. Briegel, “Multiparty entanglement in graph states,” Phys. Rev. A 69, 062311 (2004).

[Crossref]

R. Raussendorf and H. J. Briegel, “A one-way quantum computer,” Phys. Rev. Lett. 86, 5188–5191 (2001).

[Crossref]

M. Takita, A. D. Córcoles, E. Magesan, B. Abdo, M. Brink, A. Cross, J. M. Chow, and J. M. Gambetta, “Demonstration of weight-four parity measurements in the surface code architecture,” Phys. Rev. Lett. 117, 210505 (2016).

[Crossref]

N. M. Linke, M. Gutierrez, K. A. Landsman, C. Figgatt, S. Debnath, K. R. Brown, and C. Monroe, “Fault-tolerant quantum error detection,” Sci. Adv. 3, e1701074 (2017).

[Crossref]

R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, and Y. Chen, “Superconducting quantum circuits at the surface code threshold for fault tolerance,” Nature 508, 500–503 (2014).

[Crossref]

X.-L. Wang, L.-K. Chen, W. Li, H.-L. Huang, C. Liu, C. Chen, Y.-H. Luo, Z.-E. Su, D. Wu, Z.-D. Li, and H. Lu, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117, 210502 (2016).

[Crossref]

X.-L. Wang, L.-K. Chen, W. Li, H.-L. Huang, C. Liu, C. Chen, Y.-H. Luo, Z.-E. Su, D. Wu, Z.-D. Li, and H. Lu, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117, 210502 (2016).

[Crossref]

R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, and Y. Chen, “Superconducting quantum circuits at the surface code threshold for fault tolerance,” Nature 508, 500–503 (2014).

[Crossref]

H.-N. Dai, B. Yang, A. Reingruber, H. Sun, X.-F. Xu, Y.-A. Chen, Z.-S. Yuan, and J.-W. Pan, “Four-body ring-exchange interactions and anyonic statistics within a minimal toric-code Hamiltonian,” Nat. Phys. 13, 1195–1200 (2017).

[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. Takita, A. D. Córcoles, E. Magesan, B. Abdo, M. Brink, A. Cross, J. M. Chow, and J. M. Gambetta, “Demonstration of weight-four parity measurements in the surface code architecture,” Phys. Rev. Lett. 117, 210505 (2016).

[Crossref]

A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, “Surface codes: towards practical large-scale quantum computation,” Phys. Rev. A 86, 032324 (2012).

[Crossref]

M. Takita, A. D. Córcoles, E. Magesan, B. Abdo, M. Brink, A. Cross, J. M. Chow, and J. M. Gambetta, “Demonstration of weight-four parity measurements in the surface code architecture,” Phys. Rev. Lett. 117, 210505 (2016).

[Crossref]

M. Takita, A. D. Córcoles, E. Magesan, B. Abdo, M. Brink, A. Cross, J. M. Chow, and J. M. Gambetta, “Demonstration of weight-four parity measurements in the surface code architecture,” Phys. Rev. Lett. 117, 210505 (2016).

[Crossref]

H.-N. Dai, B. Yang, A. Reingruber, H. Sun, X.-F. Xu, Y.-A. Chen, Z.-S. Yuan, and J.-W. Pan, “Four-body ring-exchange interactions and anyonic statistics within a minimal toric-code Hamiltonian,” Nat. Phys. 13, 1195–1200 (2017).

[Crossref]

Y.-M. He, J. Liu, S. Maier, M. Emmerling, S. Gerhardt, M. Davanco, K. Srinivasan, C. Schneider, and S. Höfling, “Deterministic implementation of a bright, on-demand single-photon source with near-unity indistinguishability via quantum dot imaging,” Optica 4, 802–808(2017).

[Crossref]

N. M. Linke, M. Gutierrez, K. A. Landsman, C. Figgatt, S. Debnath, K. R. Brown, and C. Monroe, “Fault-tolerant quantum error detection,” Sci. Adv. 3, e1701074 (2017).

[Crossref]

C. Song, D. Xu, P. Zhang, J. Wang, Q. Guo, W. Liu, K. Xu, H. Deng, K. Huang, D. Zheng, and S. B. Zheng, “Demonstration of topological robustness of anyonic braiding statistics with a superconducting quantum circuit,” Phys. Rev. Lett. 121, 030502 (2018).

[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]

M. Hein, J. Eisert, and H. J. Briegel, “Multiparty entanglement in graph states,” Phys. Rev. A 69, 062311 (2004).

[Crossref]

Y.-M. He, J. Liu, S. Maier, M. Emmerling, S. Gerhardt, M. Davanco, K. Srinivasan, C. Schneider, and S. Höfling, “Deterministic implementation of a bright, on-demand single-photon source with near-unity indistinguishability via quantum dot imaging,” Optica 4, 802–808(2017).

[Crossref]

N. M. Linke, M. Gutierrez, K. A. Landsman, C. Figgatt, S. Debnath, K. R. Brown, and C. Monroe, “Fault-tolerant quantum error detection,” Sci. Adv. 3, e1701074 (2017).

[Crossref]

R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, and Y. Chen, “Superconducting quantum circuits at the surface code threshold for fault tolerance,” Nature 508, 500–503 (2014).

[Crossref]

A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, “Surface codes: towards practical large-scale quantum computation,” Phys. Rev. A 86, 032324 (2012).

[Crossref]

E.-A. Kim, M. Lawler, S. Vishveshwara, and E. Fradkin, “Signatures of fractional statistics in noise experiments in quantum Hall fluids,” Phys. Rev. Lett. 95, 176402 (2005).

[Crossref]

S. D. Sarma, M. Freedman, and C. Nayak, “Topologically protected qubits from a possible non-abelian fractional quantum Hall state,” Phys. Rev. Lett. 94, 166802 (2005).

[Crossref]

M. Takita, A. D. Córcoles, E. Magesan, B. Abdo, M. Brink, A. Cross, J. M. Chow, and J. M. Gambetta, “Demonstration of weight-four parity measurements in the surface code architecture,” Phys. Rev. Lett. 117, 210505 (2016).

[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]

C.-Y. Lu, X.-Q. Zhou, O. Gühne, W.-B. Gao, J. Zhang, Z.-S. Yuan, A. Goebel, T. Yang, and J.-W. Pan, “Experimental entanglement of six photons in graph states,” Nat. Phys. 3, 91–95 (2007).

[Crossref]

Y.-M. He, J. Liu, S. Maier, M. Emmerling, S. Gerhardt, M. Davanco, K. Srinivasan, C. Schneider, and S. Höfling, “Deterministic implementation of a bright, on-demand single-photon source with near-unity indistinguishability via quantum dot imaging,” Optica 4, 802–808(2017).

[Crossref]

C.-Y. Lu, X.-Q. Zhou, O. Gühne, W.-B. Gao, J. Zhang, Z.-S. Yuan, A. Goebel, T. Yang, and J.-W. Pan, “Experimental entanglement of six photons in graph states,” Nat. Phys. 3, 91–95 (2007).

[Crossref]

R. Raussendorf, J. Harrington, and K. Goyal, “Topological fault-tolerance in cluster state quantum computation,” New J. Phys. 9, 199 (2007).

[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]

C.-Y. Lu, X.-Q. Zhou, O. Gühne, W.-B. Gao, J. Zhang, Z.-S. Yuan, A. Goebel, T. Yang, and J.-W. Pan, “Experimental entanglement of six photons in graph states,” Nat. Phys. 3, 91–95 (2007).

[Crossref]

C. Song, D. Xu, P. Zhang, J. Wang, Q. Guo, W. Liu, K. Xu, H. Deng, K. Huang, D. Zheng, and S. B. Zheng, “Demonstration of topological robustness of anyonic braiding statistics with a superconducting quantum circuit,” Phys. Rev. Lett. 121, 030502 (2018).

[Crossref]

Y. Zhong, D. Xu, P. Wang, C. Song, Q. Guo, W. Liu, K. Xu, B. Xia, C.-Y. Lu, S. Han, and J. W. Pan, “Emulating anyonic fractional statistical behavior in a superconducting quantum circuit,” Phys. Rev. Lett. 117, 110501 (2016).

[Crossref]

N. M. Linke, M. Gutierrez, K. A. Landsman, C. Figgatt, S. Debnath, K. R. Brown, and C. Monroe, “Fault-tolerant quantum error detection,” Sci. Adv. 3, e1701074 (2017).

[Crossref]

Y. Zhong, D. Xu, P. Wang, C. Song, Q. Guo, W. Liu, K. Xu, B. Xia, C.-Y. Lu, S. Han, and J. W. Pan, “Emulating anyonic fractional statistical behavior in a superconducting quantum circuit,” Phys. Rev. Lett. 117, 110501 (2016).

[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]

R. Raussendorf and J. Harrington, “Fault-tolerant quantum computation with high threshold in two dimensions,” Phys. Rev. Lett. 98, 190504 (2007).

[Crossref]

R. Raussendorf, J. Harrington, and K. Goyal, “Topological fault-tolerance in cluster state quantum computation,” New J. Phys. 9, 199 (2007).

[Crossref]

Y.-M. He, J. Liu, S. Maier, M. Emmerling, S. Gerhardt, M. Davanco, K. Srinivasan, C. Schneider, and S. Höfling, “Deterministic implementation of a bright, on-demand single-photon source with near-unity indistinguishability via quantum dot imaging,” Optica 4, 802–808(2017).

[Crossref]

M. Hein, J. Eisert, and H. J. Briegel, “Multiparty entanglement in graph states,” Phys. Rev. A 69, 062311 (2004).

[Crossref]

Y.-M. He, J. Liu, S. Maier, M. Emmerling, S. Gerhardt, M. Davanco, K. Srinivasan, C. Schneider, and S. Höfling, “Deterministic implementation of a bright, on-demand single-photon source with near-unity indistinguishability via quantum dot imaging,” Optica 4, 802–808(2017).

[Crossref]

X.-L. Wang, L.-K. Chen, W. Li, H.-L. Huang, C. Liu, C. Chen, Y.-H. Luo, Z.-E. Su, D. Wu, Z.-D. Li, and H. Lu, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117, 210502 (2016).

[Crossref]

C. Song, D. Xu, P. Zhang, J. Wang, Q. Guo, W. Liu, K. Xu, H. Deng, K. Huang, D. Zheng, and S. B. Zheng, “Demonstration of topological robustness of anyonic braiding statistics with a superconducting quantum circuit,” Phys. Rev. Lett. 121, 030502 (2018).

[Crossref]

R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, and Y. Chen, “Superconducting quantum circuits at the surface code threshold for fault tolerance,” Nature 508, 500–503 (2014).

[Crossref]

R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, and Y. Chen, “Superconducting quantum circuits at the surface code threshold for fault tolerance,” Nature 508, 500–503 (2014).

[Crossref]

J. 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]

E.-A. Kim, M. Lawler, S. Vishveshwara, and E. Fradkin, “Signatures of fractional statistics in noise experiments in quantum Hall fluids,” Phys. Rev. Lett. 95, 176402 (2005).

[Crossref]

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

[Crossref]

A. J. Park, E. McKay, D. Lu, and R. Laflamme, “Simulation of anyonic statistics and its topological path independence using a seven-qubit quantum simulator,” New J. Phys. 18, 043043 (2016).

[Crossref]

A. J. Landahl, J. T. Anderson, and P. R. Rice, “Fault-tolerant quantum computing with color codes,” arXiv:1108.5738 (2011).

N. M. Linke, M. Gutierrez, K. A. Landsman, C. Figgatt, S. Debnath, K. R. Brown, and C. Monroe, “Fault-tolerant quantum error detection,” Sci. Adv. 3, e1701074 (2017).

[Crossref]

E.-A. Kim, M. Lawler, S. Vishveshwara, and E. Fradkin, “Signatures of fractional statistics in noise experiments in quantum Hall fluids,” Phys. Rev. Lett. 95, 176402 (2005).

[Crossref]

X.-L. Wang, L.-K. Chen, W. Li, H.-L. Huang, C. Liu, C. Chen, Y.-H. Luo, Z.-E. Su, D. Wu, Z.-D. Li, and H. Lu, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117, 210502 (2016).

[Crossref]

X.-L. Wang, L.-K. Chen, W. Li, H.-L. Huang, C. Liu, C. Chen, Y.-H. Luo, Z.-E. Su, D. Wu, Z.-D. Li, and H. Lu, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117, 210502 (2016).

[Crossref]

N. M. Linke, M. Gutierrez, K. A. Landsman, C. Figgatt, S. Debnath, K. R. Brown, and C. Monroe, “Fault-tolerant quantum error detection,” Sci. Adv. 3, e1701074 (2017).

[Crossref]

X.-L. Wang, L.-K. Chen, W. Li, H.-L. Huang, C. Liu, C. Chen, Y.-H. Luo, Z.-E. Su, D. Wu, Z.-D. Li, and H. Lu, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117, 210502 (2016).

[Crossref]

Y.-M. He, J. Liu, S. Maier, M. Emmerling, S. Gerhardt, M. Davanco, K. Srinivasan, C. Schneider, and S. Höfling, “Deterministic implementation of a bright, on-demand single-photon source with near-unity indistinguishability via quantum dot imaging,” Optica 4, 802–808(2017).

[Crossref]

C. Song, D. Xu, P. Zhang, J. Wang, Q. Guo, W. Liu, K. Xu, H. Deng, K. Huang, D. Zheng, and S. B. Zheng, “Demonstration of topological robustness of anyonic braiding statistics with a superconducting quantum circuit,” Phys. Rev. Lett. 121, 030502 (2018).

[Crossref]

Y. Zhong, D. Xu, P. Wang, C. Song, Q. Guo, W. Liu, K. Xu, B. Xia, C.-Y. Lu, S. Han, and J. W. Pan, “Emulating anyonic fractional statistical behavior in a superconducting quantum circuit,” Phys. Rev. Lett. 117, 110501 (2016).

[Crossref]

Y. Zhong, D. Xu, P. Wang, C. Song, Q. Guo, W. Liu, K. Xu, B. Xia, C.-Y. Lu, S. Han, and J. W. Pan, “Emulating anyonic fractional statistical behavior in a superconducting quantum circuit,” Phys. Rev. Lett. 117, 110501 (2016).

[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]

C.-Y. Lu, X.-Q. Zhou, O. Gühne, W.-B. Gao, J. Zhang, Z.-S. Yuan, A. Goebel, T. Yang, and J.-W. Pan, “Experimental entanglement of six photons in graph states,” Nat. Phys. 3, 91–95 (2007).

[Crossref]

A. J. Park, E. McKay, D. Lu, and R. Laflamme, “Simulation of anyonic statistics and its topological path independence using a seven-qubit quantum simulator,” New J. Phys. 18, 043043 (2016).

[Crossref]

X.-L. Wang, L.-K. Chen, W. Li, H.-L. Huang, C. Liu, C. Chen, Y.-H. Luo, Z.-E. Su, D. Wu, Z.-D. Li, and H. Lu, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117, 210502 (2016).

[Crossref]

X.-L. Wang, L.-K. Chen, W. Li, H.-L. Huang, C. Liu, C. Chen, Y.-H. Luo, Z.-E. Su, D. Wu, Z.-D. Li, and H. Lu, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117, 210502 (2016).

[Crossref]

M. Takita, A. D. Córcoles, E. Magesan, B. Abdo, M. Brink, A. Cross, J. M. Chow, and J. M. Gambetta, “Demonstration of weight-four parity measurements in the surface code architecture,” Phys. Rev. Lett. 117, 210505 (2016).

[Crossref]

Y.-M. He, J. Liu, S. Maier, M. Emmerling, S. Gerhardt, M. Davanco, K. Srinivasan, C. Schneider, and S. Höfling, “Deterministic implementation of a bright, on-demand single-photon source with near-unity indistinguishability via quantum dot imaging,” Optica 4, 802–808(2017).

[Crossref]

A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, “Surface codes: towards practical large-scale quantum computation,” Phys. Rev. A 86, 032324 (2012).

[Crossref]

A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, “Surface codes: towards practical large-scale quantum computation,” Phys. Rev. A 86, 032324 (2012).

[Crossref]

A. J. Park, E. McKay, D. Lu, and R. Laflamme, “Simulation of anyonic statistics and its topological path independence using a seven-qubit quantum simulator,” New J. Phys. 18, 043043 (2016).

[Crossref]

R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, and Y. Chen, “Superconducting quantum circuits at the surface code threshold for fault tolerance,” Nature 508, 500–503 (2014).

[Crossref]

N. M. Linke, M. Gutierrez, K. A. Landsman, C. Figgatt, S. Debnath, K. R. Brown, and C. Monroe, “Fault-tolerant quantum error detection,” Sci. Adv. 3, e1701074 (2017).

[Crossref]

R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, and Y. Chen, “Superconducting quantum circuits at the surface code threshold for fault tolerance,” Nature 508, 500–503 (2014).

[Crossref]

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[Crossref]

S. D. Sarma, M. Freedman, and C. Nayak, “Topologically protected qubits from a possible non-abelian fractional quantum Hall state,” Phys. Rev. Lett. 94, 166802 (2005).

[Crossref]

J. 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]

Y. Zhong, D. Xu, P. Wang, C. Song, Q. Guo, W. Liu, K. Xu, B. Xia, C.-Y. Lu, S. Han, and J. W. Pan, “Emulating anyonic fractional statistical behavior in a superconducting quantum circuit,” Phys. Rev. Lett. 117, 110501 (2016).

[Crossref]

H.-N. Dai, B. Yang, A. Reingruber, H. Sun, X.-F. Xu, Y.-A. Chen, Z.-S. Yuan, and J.-W. Pan, “Four-body ring-exchange interactions and anyonic statistics within a minimal toric-code Hamiltonian,” Nat. Phys. 13, 1195–1200 (2017).

[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]

C.-Y. Lu, X.-Q. Zhou, O. Gühne, W.-B. Gao, J. Zhang, Z.-S. Yuan, A. Goebel, T. Yang, and J.-W. Pan, “Experimental entanglement of six photons in graph states,” Nat. Phys. 3, 91–95 (2007).

[Crossref]

A. J. Park, E. McKay, D. Lu, and R. Laflamme, “Simulation of anyonic statistics and its topological path independence using a seven-qubit quantum simulator,” New J. Phys. 18, 043043 (2016).

[Crossref]

J. 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]

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]

R. Raussendorf and J. Harrington, “Fault-tolerant quantum computation with high threshold in two dimensions,” Phys. Rev. Lett. 98, 190504 (2007).

[Crossref]

R. Raussendorf, J. Harrington, and K. Goyal, “Topological fault-tolerance in cluster state quantum computation,” New J. Phys. 9, 199 (2007).

[Crossref]

R. Raussendorf, “Measurement-based quantum computation on cluster states,” Phys. Rev. A 68, 022312 (2003).

[Crossref]

R. Raussendorf and H. J. Briegel, “A one-way quantum computer,” Phys. Rev. Lett. 86, 5188–5191 (2001).

[Crossref]

H.-N. Dai, B. Yang, A. Reingruber, H. Sun, X.-F. Xu, Y.-A. Chen, Z.-S. Yuan, and J.-W. Pan, “Four-body ring-exchange interactions and anyonic statistics within a minimal toric-code Hamiltonian,” Nat. Phys. 13, 1195–1200 (2017).

[Crossref]

A. J. Landahl, J. T. Anderson, and P. R. Rice, “Fault-tolerant quantum computing with color codes,” arXiv:1108.5738 (2011).

R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, and Y. Chen, “Superconducting quantum circuits at the surface code threshold for fault tolerance,” Nature 508, 500–503 (2014).

[Crossref]

S. D. Sarma, M. Freedman, and C. Nayak, “Topologically protected qubits from a possible non-abelian fractional quantum Hall state,” Phys. Rev. Lett. 94, 166802 (2005).

[Crossref]

J. 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]

Y.-M. He, J. Liu, S. Maier, M. Emmerling, S. Gerhardt, M. Davanco, K. Srinivasan, C. Schneider, and S. Höfling, “Deterministic implementation of a bright, on-demand single-photon source with near-unity indistinguishability via quantum dot imaging,” Optica 4, 802–808(2017).

[Crossref]

C. Song, D. Xu, P. Zhang, J. Wang, Q. Guo, W. Liu, K. Xu, H. Deng, K. Huang, D. Zheng, and S. B. Zheng, “Demonstration of topological robustness of anyonic braiding statistics with a superconducting quantum circuit,” Phys. Rev. Lett. 121, 030502 (2018).

[Crossref]

Y. Zhong, D. Xu, P. Wang, C. Song, Q. Guo, W. Liu, K. Xu, B. Xia, C.-Y. Lu, S. Han, and J. W. Pan, “Emulating anyonic fractional statistical behavior in a superconducting quantum circuit,” Phys. Rev. Lett. 117, 110501 (2016).

[Crossref]

Y.-M. He, J. Liu, S. Maier, M. Emmerling, S. Gerhardt, M. Davanco, K. Srinivasan, C. Schneider, and S. Höfling, “Deterministic implementation of a bright, on-demand single-photon source with near-unity indistinguishability via quantum dot imaging,” Optica 4, 802–808(2017).

[Crossref]

X.-L. Wang, L.-K. Chen, W. Li, H.-L. Huang, C. Liu, C. Chen, Y.-H. Luo, Z.-E. Su, D. Wu, Z.-D. Li, and H. Lu, “Experimental ten-photon entanglement,” Phys. Rev. Lett. 117, 210502 (2016).

[Crossref]

H.-N. Dai, B. Yang, A. Reingruber, H. Sun, X.-F. Xu, Y.-A. Chen, Z.-S. Yuan, and J.-W. Pan, “Four-body ring-exchange interactions and anyonic statistics within a minimal toric-code Hamiltonian,” Nat. Phys. 13, 1195–1200 (2017).

[Crossref]

M. Takita, A. D. Córcoles, E. Magesan, B. Abdo, M. Brink, A. Cross, J. M. Chow, and J. M. Gambetta, “Demonstration of weight-four parity measurements in the surface code architecture,” Phys. Rev. Lett. 117, 210505 (2016).

[Crossref]

R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, and Y. Chen, “Superconducting quantum circuits at the surface code threshold for fault tolerance,” Nature 508, 500–503 (2014).

[Crossref]

E.-A. Kim, M. Lawler, S. Vishveshwara, and E. Fradkin, “Signatures of fractional statistics in noise experiments in quantum Hall fluids,” Phys. Rev. Lett. 95, 176402 (2005).

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