Topological Order from Measurements and Feed-Forward on a Trapped Ion Quantum Computer

ORAL  · Invited

Abstract

Quantum computers have matured to the point where multipartite entanglement can reliably be created on 30+ qubits. One important capability is the creation of long-range entangled states, both as initial states for quantum simulation and for error correction within the same devices. Unfortunately, by definition, long-range entangled states require extensive unitary circuit depths for their preparation, which places constraints on the coherence times of near-term devices. I will talk about how constant-depth protocols based on measurement and feed-forward have recently been used to prepare both Abelian and non-Abelian topological order on Quantinuum's H-series trapped-ion computers. I will also cover some recent work on qutrit topological orders as well as an application of the same techniques to improve the efficiency of digital quantum simulations of the Hubbard model.

*This work was a collaborative effort by many people who have been supported by: the Walter Burke Institute for Theoretical Physics at Caltech, by the Simons Collaboration on UltraQuantum Matter, which is a grant from the Simons Foundation (618615, A.V.), by the National Science Foundation Graduate Research Fellowship Program (NSF GRFP), by the DARPA MeasQuIT program, by the Bavarian Ministry of Economic Affairs, Regional Development and Energy (StMWi) under project Bench-QC (DIK0425/01), by the German Federal Ministry of Education and Research (BMBF) through the project EQUAHUMO (grant number 13N16069) within the funding program quantum technologies - from basic research to market, by the Harvard Quantum Initiative Postdoctoral Fellowship in Science and Engineering, by the Sydney Quantum Academy, Sydney, NSW, Australia, by the Government of Canada through the Department of Innovation, Science and Economic Development Canada, by the Province of Ontario through the Ministry of Colleges and Universities and by NSF-DMR 2220703.

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Publication: 1. Qutrit Toric Code and Parafermions in Trapped Ions, Iqbal et al., arXiv:2411.04185 (2024)
2. Experimental Demonstration of Break-Even for the Compact Fermionic Encoding, Nigamtullin et al., arXiv:2409.06789 (2024)
3. Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor, Iqbal et al., Nature 626, 505-511 (2024)
4. Experimental demonstration of the advantage of adaptive quantum circuits, Foss-Feig et al., arXiv:2302.03029 (2023)
5. Topological Order from Measurements and Feed-Forward on a Trapped Ion Quantum Computer, Iqbal et al., Nature Communications Physics 7, 205 (2024)

Presenters

  • Henrik Dreyer

    • Quantiuum

Authors

  • Henrik Dreyer

    • Quantiuum