Characterizing a non-equilibrium phase transition on a quantum computer
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arXiv
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| Autores principales: | , , , , , , , , , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
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| _version_ | 1866915940823728128 |
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| author | Chertkov, Eli Cheng, Zihan Potter, Andrew C. Gopalakrishnan, Sarang Gatterman, Thomas M. Gerber, Justin A. Gilmore, Kevin Gresh, Dan Hall, Alex Hankin, Aaron Matheny, Mitchell Mengle, Tanner Hayes, David Neyenhuis, Brian Stutz, Russell Foss-Feig, Michael |
| author_facet | Chertkov, Eli Cheng, Zihan Potter, Andrew C. Gopalakrishnan, Sarang Gatterman, Thomas M. Gerber, Justin A. Gilmore, Kevin Gresh, Dan Hall, Alex Hankin, Aaron Matheny, Mitchell Mengle, Tanner Hayes, David Neyenhuis, Brian Stutz, Russell Foss-Feig, Michael |
| contents | At transitions between phases of matter, physical systems can exhibit universal behavior independent of their microscopic details. Probing such behavior in quantum many-body systems is a challenging and practically important problem that can be solved by quantum computers, potentially exponentially faster than by classical computers. In this work, we use the Quantinuum H1-1 quantum computer to realize a quantum extension of a simple classical disease spreading process that is known to exhibit a non-equilibrium phase transition between an active and absorbing state. Using techniques such as qubit-reuse and error avoidance based on real-time conditional logic (utilized extensively in quantum error correction), we are able to implement large instances of the model with $73$ sites and up to $72$ circuit layers, and quantitatively determine the model's critical properties. This work demonstrates how quantum computers capable of mid-circuit resets, measurements, and conditional logic enable the study of difficult problems in quantum many-body physics: the simulation of open quantum system dynamics and non-equilibrium phase transitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_12889 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Characterizing a non-equilibrium phase transition on a quantum computer Chertkov, Eli Cheng, Zihan Potter, Andrew C. Gopalakrishnan, Sarang Gatterman, Thomas M. Gerber, Justin A. Gilmore, Kevin Gresh, Dan Hall, Alex Hankin, Aaron Matheny, Mitchell Mengle, Tanner Hayes, David Neyenhuis, Brian Stutz, Russell Foss-Feig, Michael Quantum Physics Statistical Mechanics Strongly Correlated Electrons At transitions between phases of matter, physical systems can exhibit universal behavior independent of their microscopic details. Probing such behavior in quantum many-body systems is a challenging and practically important problem that can be solved by quantum computers, potentially exponentially faster than by classical computers. In this work, we use the Quantinuum H1-1 quantum computer to realize a quantum extension of a simple classical disease spreading process that is known to exhibit a non-equilibrium phase transition between an active and absorbing state. Using techniques such as qubit-reuse and error avoidance based on real-time conditional logic (utilized extensively in quantum error correction), we are able to implement large instances of the model with $73$ sites and up to $72$ circuit layers, and quantitatively determine the model's critical properties. This work demonstrates how quantum computers capable of mid-circuit resets, measurements, and conditional logic enable the study of difficult problems in quantum many-body physics: the simulation of open quantum system dynamics and non-equilibrium phase transitions. |
| title | Characterizing a non-equilibrium phase transition on a quantum computer |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2209.12889 |