CMT Forum: Jovan Jovanovic

This talk will cover our last year's work [1] which explores the feasibility of demonstrating the non-abelian physics of Quantum Double Models on current NISQ devices. The interest in this line of work has been refreshed by recent experimental successes in this endeavour [2-4] and theoretical development on the question of preparing long-range entangled states [5] as well as the possible uses of such states in future quantum simulator experiments. In our work, we focus on designing protocols for anyon creation and manipulation, as well as topological charge measurements and phase-sensitive measurements of braiding amplitudes. We benchmark our proposals on classical noisy quantum simulators based on Google’s Sycamore chip and find that with hardware of such quality, one can demonstrate non-abelian anyon fusion and braiding, as well as measure all the T- and the majority of S-matrix elements for the Quantum Double of the group  (dihedral group of order 8).

References

[1] Jovanović, Jovan, Carolin Wille, Daan Timmers, and Steven H. Simon. "A proposal to demonstrate non-abelian anyons on a NISQ device." arXiv preprint arXiv:2306.13129 (2023).

[2] "Non-Abelian braiding of graph vertices in a superconducting processor." Nature 618, no. 7964 (2023): 264-269.

[3] Iqbal, Mohsin, Nathanan Tantivasadakarn, Ruben Verresen, Sara L. Campbell, Joan M. Dreiling, Caroline Figgatt, John P. Gaebler et al. "Creation of non-abelian topological order and anyons on a trapped-ion processor." arXiv preprint arXiv:2305.03766 (2023).

[4] Xu, Shibo, Zheng-Zhi Sun, Ke Wang, Hekang Li, Zitian Zhu, Hang Dong, Jinfeng Deng et al. "Non-Abelian braiding of Fibonacci anyons with a superconducting processor." arXiv preprint arXiv:2404.00091 (2024).

[5] Tantivasadakarn, Nathanan, Ashvin Vishwanath, and Ruben Verresen. "Hierarchy of topological order from finite-depth unitaries, measurement, and feedforward." PRX Quantum 4, no. 2 (2023): 020339.