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Realizing symmetry-protected topological phases in a spin-1/2 chain with next-nearest neighbor hopping on superconducting qubits

Tan, Adrian T. K. and Sun, Shi-Ning and Tazhigulov, Ruslan N. and Chan, Garnet Kin-Lic and Minnich, Austin J. (2021) Realizing symmetry-protected topological phases in a spin-1/2 chain with next-nearest neighbor hopping on superconducting qubits. . (Unpublished)

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The realization of novel phases of matter on quantum simulators is a topic of intense interest. Digital quantum computers offer a route to prepare topological phases with interactions that do not naturally arise in analog quantum simulators. Here, we report the realization of symmetry-protected topological (SPT) phases of a spin-{1/2} Hamiltonian with next-nearest-neighbor hopping on up to 11 qubits on a programmable superconducting quantum processor. We observe clear signatures of the two distinct SPT phases, such as excitations localized to specific edges and finite string order parameters. Our work advances ongoing efforts to realize novel states of matter with exotic interactions on digital near-term quantum computers.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Sun, Shi-Ning0000-0002-5984-780X
Tazhigulov, Ruslan N.0000-0002-0679-3078
Chan, Garnet Kin-Lic0000-0001-8009-6038
Minnich, Austin J.0000-0002-9671-9540
Additional Information:The authors thank M. Wojciech, N. C. Rubin, J. Zhang and R. Babbush for helpful discussions. A.T.K.T, S.-N.S., A.J.M and G.K.-L.C were supported by the US NSF under Award No. 1839204. R. N. Tazhigulov was supported by the US Department of Energy, Office of Basic Energy Sciences, under Award No. DE-SC0019374. Author contributions: A.T.K.T and A.J.M. conceptualized the project. A.T.K.T designed and optimized the circuit and executed simulations with assistance from S.S. and R.N.T. A.T.K.T carried out the simulation runs on the quantum processor and analyzed the results. A.T.K.T and A.J.M. wrote the paper. All authors discussed the results and contributed to the development of the manuscript. The authors declare that they have no competing interests.
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0019374
Record Number:CaltechAUTHORS:20220124-192944633
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:113076
Deposited By: George Porter
Deposited On:24 Jan 2022 20:32
Last Modified:24 Jan 2022 20:32

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