Topological order from measurements and feed-forward on a trapped ion quantum computer

Quantum systems evolve in time in one of two ways: through the Schrödinger equation or wavefunction collapse. So far, deterministic control of quantum many-body systems in the lab has focused on the former, due to the probabilistic nature of measurements. This imposes serious limitations: preparing...

Full description

Saved in:
Bibliographic Details
Published in:Communications physics 2024-06, Vol.7 (1), p.205-8, Article 205
Main Authors: Iqbal, Mohsin, Tantivasadakarn, Nathanan, Gatterman, Thomas M., Gerber, Justin A., Gilmore, Kevin, Gresh, Dan, Hankin, Aaron, Hewitt, Nathan, Horst, Chandler V., Matheny, Mitchell, Mengle, Tanner, Neyenhuis, Brian, Vishwanath, Ashvin, Foss-Feig, Michael, Verresen, Ruben, Dreyer, Henrik
Format: Article
Language:English
Subjects:
639/766/483/3926
639/766/483/481
Braiding
Entangled states
Error correction
Physics
Physics and Astronomy
Quantum computers
Quantum computing
Quantum entanglement
Real time
Schrodinger equation
Topology
Wave functions
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Quantum systems evolve in time in one of two ways: through the Schrödinger equation or wavefunction collapse. So far, deterministic control of quantum many-body systems in the lab has focused on the former, due to the probabilistic nature of measurements. This imposes serious limitations: preparing long-range entangled states, for example, requires extensive circuit depth if restricted to unitary dynamics. In this work, we use mid-circuit measurement and feed-forward to implement deterministic non-unitary dynamics on Quantinuum’s H1 programmable ion-trap quantum computer. Enabled by these capabilities, we demonstrate a constant-depth procedure for creating a toric code ground state in real-time. In addition to reaching high stabilizer fidelities, we create a non-Abelian defect whose presence is confirmed by transmuting anyons via braiding. This work clears the way towards creating complex topological orders in the lab and exploring deterministic non-unitary dynamics via measurement and feed-forward. Topological quantum states are essential resources in quantum error correction and quantum simulation but unitary quantum circuits for their preparation require extensive circuit depth. The authors demonstrate a constant-depth protocol to prepare topologically ordered states on a trapped-ion quantum computer using non-unitary operations.
ISSN:2399-3650
2399-3650
DOI:10.1038/s42005-024-01698-3