Topological Order from Measurements and Feed-Forward on a Trapped Ion Quantum Computer
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , , , , , , , , , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916423751696384 |
|---|---|
| author | 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 |
| author_facet | 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 |
| contents | 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 for the first time 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_01917 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological Order from Measurements and Feed-Forward on a Trapped Ion Quantum Computer 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 Quantum Physics Strongly Correlated Electrons 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 for the first time 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. |
| title | Topological Order from Measurements and Feed-Forward on a Trapped Ion Quantum Computer |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2302.01917 |