Isolated Majorana mode in a quantum computer from a duality twist

ORAL

Abstract

Investigating the interplay of dualities, generalized symmetries, and topological defects beyond theoretical models is an important challenge in condensed matter physics and quantum materials. A simple model exhibiting this physics is the transverse-field Ising model, which can host a noninvert- ible topological defect that performs the Kramers-Wannier duality transformation. When acting on one point in space, this duality defect imposes the duality twisted boundary condition and binds a single Majorana zero mode. This Majorana zero mode is unusual as it lacks localized partners and has an infinite lifetime, even in finite systems. Using Floquet driving of a closed Ising chain with a duality defect, we generate this Majorana zero mode in a digital quantum computer. We detect the mode by measuring its associated persistent autocorrelation function using an efficient sampling protocol and a compound strategy for error mitigation. We also show that the Majorana zero mode resides at the domain wall between two regions related by a Kramers-Wannier duality. Finally, we highlight the robustness of the isolated Majorana zero mode to integrability and symmetry-breaking perturbations. Our findings offer an approach to investigating exotic topological defects in digitized quantum devices.

* US National Science Foundation under Grants NSF DMR-1945395

Publication: Isolated Majorana mode in a quantum computer from a duality twist. Sutapa Samanta, Derek S. Wang, Armin Rahmani, Aditi Mitra. arXiv:2308.02387

Presenters

  • Sutapa Samanta

    Western Washington University

Authors

  • Sutapa Samanta

    Western Washington University

  • Derek S Wang

    IBM Quantum, IBM T.J. Watson Research Center, IBM Quantum

  • Armin Rahmani

    Western Washington University

  • Aditi Mitra

    NYU