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- Title
Topological order from measurements and feed-forward on a trapped ion quantum computer.
- 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
- Abstract
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.
- Subjects
ION traps; CIRCUIT complexity; QUANTUM computers; QUANTUM states; SCHRODINGER equation; ANYONS
- Publication
Communications Physics, 2024, Vol 7, Issue 1, p1
- ISSN
2399-3650
- Publication type
Article
- DOI
10.1038/s42005-024-01698-3