Isolated Majorana mode in a quantum computer from a duality twist

• URL: http://arxiv.org/abs/2308.02387v3
• Date: Mon, 4 Sep 2023 18:24:20 GMT
• Title: Isolated Majorana mode in a quantum computer from a duality twist
• Authors: Sutapa Samanta, Derek S. Wang, Armin Rahmani, Aditi Mitra
• Abstract summary: We investigate the interplay of dualities, generalized symmetries, and topological defects beyond theoretical models. A simple model exhibiting this physics is the transverse-field Ising model, which can host a noninvertible topological defect. When acting on one point in space, this duality defect imposes the duality twisted boundary condition and a single Majorana zero mode. Using Floquet driving of a closed Ising chain with a duality defect, we generate this Majorana zero mode in a digital quantum computer.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 noninvertible 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.

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