Hardware-efficient variational quantum algorithms for time evolution
Parameterized quantum circuits are a promising technology for achieving a quantum advantage. An important application is the variational simulation of time evolution of quantum systems. To make the most of quantum hardware, variational algorithms need to be as hardware-efficient as possible. Here we...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033083 |
| _version_ | 1797210985292890112 |
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| author | Marcello Benedetti Mattia Fiorentini Michael Lubasch |
| author_facet | Marcello Benedetti Mattia Fiorentini Michael Lubasch |
| author_sort | Marcello Benedetti |
| collection | DOAJ |
| description | Parameterized quantum circuits are a promising technology for achieving a quantum advantage. An important application is the variational simulation of time evolution of quantum systems. To make the most of quantum hardware, variational algorithms need to be as hardware-efficient as possible. Here we present alternatives to the time-dependent variational principle that are hardware-efficient and do not require matrix inversion. In relation to imaginary time evolution, our approach significantly reduces the hardware requirements. With regards to real time evolution, where high precision can be important, we present algorithms of systematically increasing accuracy and hardware requirements. We numerically analyze the performance of our algorithms using quantum Hamiltonians with local interactions. |
| first_indexed | 2024-04-24T10:19:17Z |
| format | Article |
| id | doaj.art-457c782dad754e06bcb08b15958cb86e |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:19:17Z |
| publishDate | 2021-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-457c782dad754e06bcb08b15958cb86e2024-04-12T17:12:07ZengAmerican Physical SocietyPhysical Review Research2643-15642021-07-013303308310.1103/PhysRevResearch.3.033083Hardware-efficient variational quantum algorithms for time evolutionMarcello BenedettiMattia FiorentiniMichael LubaschParameterized quantum circuits are a promising technology for achieving a quantum advantage. An important application is the variational simulation of time evolution of quantum systems. To make the most of quantum hardware, variational algorithms need to be as hardware-efficient as possible. Here we present alternatives to the time-dependent variational principle that are hardware-efficient and do not require matrix inversion. In relation to imaginary time evolution, our approach significantly reduces the hardware requirements. With regards to real time evolution, where high precision can be important, we present algorithms of systematically increasing accuracy and hardware requirements. We numerically analyze the performance of our algorithms using quantum Hamiltonians with local interactions.http://doi.org/10.1103/PhysRevResearch.3.033083 |
| spellingShingle | Marcello Benedetti Mattia Fiorentini Michael Lubasch Hardware-efficient variational quantum algorithms for time evolution Physical Review Research |
| title | Hardware-efficient variational quantum algorithms for time evolution |
| title_full | Hardware-efficient variational quantum algorithms for time evolution |
| title_fullStr | Hardware-efficient variational quantum algorithms for time evolution |
| title_full_unstemmed | Hardware-efficient variational quantum algorithms for time evolution |
| title_short | Hardware-efficient variational quantum algorithms for time evolution |
| title_sort | hardware efficient variational quantum algorithms for time evolution |
| url | http://doi.org/10.1103/PhysRevResearch.3.033083 |
| work_keys_str_mv | AT marcellobenedetti hardwareefficientvariationalquantumalgorithmsfortimeevolution AT mattiafiorentini hardwareefficientvariationalquantumalgorithmsfortimeevolution AT michaellubasch hardwareefficientvariationalquantumalgorithmsfortimeevolution |