Robust Teleportation of a Topological Surface Code Under Coherent Error

Teleportation is another facet where quantum measurements can act as a powerful resource in quantum physics, as local measurements allow to steer quantum information in a non-local way. While this has long been established for Bell pairs, the teleportation of a fault-tolerant logical qubit presents a fundamentally different challenge as it requires the teleportation of a many-qubit wavefunction.

In this talk, I will discuss a protocol for teleporting a long-range entangled surface code state, concerning its stability under tunable coherent errors. A topological phase diagram with continuously varying optimal threshold is charted, by a combination of analytic statistical model analysis and numerical tensor network calculation. The underlying anyon condensation mechanism and the role of duality will be touched. I'll address how it can be readily implemented and decoded in certain NISQ platforms.

Guo-Yi Zhu obtained his PhD degree in Physics from Tsinghua University in 2019. He works as post-doctoral fellow for the Max-Planck-Institute for the Physics of Complex Systems (Germany) from 2019 to 2021, and for the Institute for Theoretical Physics in University of Cologne from 2021 till now. He will join Hong-Kong University of Science and Technology (Guangzhou) as an assistant professor from Fall 2024. Coming from a background of quantum many-body physics, he's currently fascinated by various questions at the interface between condensed matter and quantum information.