Realizing topologically ordered states on a quantum processor
Abstract
The discovery of topological order has revolutionized the understanding of quantum matter in modern physics and provided the theoretical foundation for many quantum error correcting codes. Realizing topologically ordered states has proven to be extremely challenging in both condensed matter and synthetic quantum systems. Here, we prepare the ground state of the toric code Hamiltonian using an efficient quantum circuit on a superconducting quantum processor. We measure a topological entanglement entropy near the expected value of , and simulate anyon interferometry to extract the braiding statistics of the emergent excitations. Furthermore, we investigate key aspects of the surface code, including logical state injection and the decay of the non-local order parameter. Our results demonstrate the potential for quantum processors to provide key insights into topological quantum matter and quantum error correction.
Cite
@article{arxiv.2104.01180,
title = {Realizing topologically ordered states on a quantum processor},
author = {K. J. Satzinger and Y. Liu and A. Smith and C. Knapp and M. Newman and C. Jones and Z. Chen and C. Quintana and X. Mi and A. Dunsworth and C. Gidney and I. Aleiner and F. Arute and K. Arya and J. Atalaya and R. Babbush and J. C. Bardin and R. Barends and J. Basso and A. Bengtsson and A. Bilmes and M. Broughton and B. B. Buckley and D. A. Buell and B. Burkett and N. Bushnell and B. Chiaro and R. Collins and W. Courtney and S. Demura and A. R. Derk and D. Eppens and C. Erickson and E. Farhi and L. Foaro and A. G. Fowler and B. Foxen and M. Giustina and A. Greene and J. A. Gross and M. P. Harrigan and S. D. Harrington and J. Hilton and S. Hong and T. Huang and W. J. Huggins and L. B. Ioffe and S. V. Isakov and E. Jeffrey and Z. Jiang and D. Kafri and K. Kechedzhi and T. Khattar and S. Kim and P. V. Klimov and A. N. Korotkov and F. Kostritsa and D. Landhuis and P. Laptev and A. Locharla and E. Lucero and O. Martin and J. R. McClean and M. McEwen and K. C. Miao and M. Mohseni and S. Montazeri and W. Mruczkiewicz and J. Mutus and O. Naaman and M. Neeley and C. Neill and M. Y. Niu and T. E. O'Brien and A. Opremcak and B. Pató and A. Petukhov and N. C. Rubin and D. Sank and V. Shvarts and D. Strain and M. Szalay and B. Villalonga and T. C. White and Z. Yao and P. Yeh and J. Yoo and A. Zalcman and H. Neven and S. Boixo and A. Megrant and Y. Chen and J. Kelly and V. Smelyanskiy and A. Kitaev and M. Knap and F. Pollmann and P. Roushan},
journal= {arXiv preprint arXiv:2104.01180},
year = {2022}
}
Comments
6 pages 4 figures, plus supplementary materials