TY - JOUR

T1 - Identification of Symmetry-Protected Topological States on Noisy Quantum Computers

AU - Azses, Daniel

AU - Haenel, Rafael

AU - Naveh, Yehuda

AU - Raussendorf, Robert

AU - Sela, Eran

AU - Dalla Torre, Emanuele G.

N1 - Funding Information: We acknowledge useful discussions with Yael Ben-Haim, Moshe Goldstein, Joe Jackson, Yuval Tamir, Ari Turner, Hannes Pichler, and Frank Pollmann. We acknowledge support from ARO (W911NF-20-1-0013) (R. R. and E. S.). This work is supported by the Israel Science Foundation, Grants No. 151/19 (D. A. and E. G. D. T.) and No. 154/19 (D. A., Y. N., E. S., and E. G. D. T.). We acknowledge the use of IBM Q Experience for this work. The views expressed are those of the authors and do not reflect the official policy or position of IBM or the IBM Quantum team.

PY - 2020/9/14

Y1 - 2020/9/14

N2 - Identifying topological properties is a major challenge because, by definition, topological states do not have a local order parameter. While a generic solution to this challenge is not available yet, a broad class of topological states, namely, symmetry-protected topological (SPT) states, can be identified by distinctive degeneracies in their entanglement spectrum. Here, we propose and realize two complementary protocols to probe these degeneracies based on, respectively, symmetry-resolved entanglement entropies and measurement-based computational algorithms. The two protocols link quantum information processing to the classification of SPT phases of matter. They invoke the creation of a cluster state and are implemented on an IBM quantum computer. The experimental findings are compared to noisy simulations, allowing us to study the stability of topological states to perturbations and noise.

AB - Identifying topological properties is a major challenge because, by definition, topological states do not have a local order parameter. While a generic solution to this challenge is not available yet, a broad class of topological states, namely, symmetry-protected topological (SPT) states, can be identified by distinctive degeneracies in their entanglement spectrum. Here, we propose and realize two complementary protocols to probe these degeneracies based on, respectively, symmetry-resolved entanglement entropies and measurement-based computational algorithms. The two protocols link quantum information processing to the classification of SPT phases of matter. They invoke the creation of a cluster state and are implemented on an IBM quantum computer. The experimental findings are compared to noisy simulations, allowing us to study the stability of topological states to perturbations and noise.

UR - http://www.scopus.com/inward/record.url?scp=85092426333&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.125.120502

DO - 10.1103/PhysRevLett.125.120502

M3 - Article

C2 - 33016759

AN - SCOPUS:85092426333

VL - 125

JO - Physical review letters

JF - Physical review letters

SN - 0031-9007

IS - 12

M1 - 120502

ER -