Investigating quantum approximate optimization algorithms under bang-bang protocols
The quantum approximate optimization algorithm (QAOA) is widely seen as a possible usage of noisy intermediate-scale quantum (NISQ) devices. We analyze the algorithm as a bang-bang protocol with fixed total time and a randomized greedy optimization scheme. We investigate the performance of bang-bang...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033402 |
| _version_ | 1797211258821279744 |
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| author | Daniel Liang Li Li (李力) Stefan Leichenauer |
| author_facet | Daniel Liang Li Li (李力) Stefan Leichenauer |
| author_sort | Daniel Liang |
| collection | DOAJ |
| description | The quantum approximate optimization algorithm (QAOA) is widely seen as a possible usage of noisy intermediate-scale quantum (NISQ) devices. We analyze the algorithm as a bang-bang protocol with fixed total time and a randomized greedy optimization scheme. We investigate the performance of bang-bang QAOA on MAX-2-SAT, finding the appearance of phase transitions with respect to the total time. As the total time increases, the optimal bang-bang protocol experiences a number of jumps and plateaus in performance, which match up with an increasing number of switches in the standard QAOA formulation. At large times, it becomes more difficult to find a globally optimal bang-bang protocol and performances suffer. We also investigate the effects of changing the initial conditions of the randomized optimization algorithm and see that better local optima can be found by using an adiabatic initialization. |
| first_indexed | 2024-04-24T10:23:38Z |
| format | Article |
| id | doaj.art-4afdcdaca46944e88fd159bbbc3d907f |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:23:38Z |
| publishDate | 2020-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-4afdcdaca46944e88fd159bbbc3d907f2024-04-12T17:00:30ZengAmerican Physical SocietyPhysical Review Research2643-15642020-09-012303340210.1103/PhysRevResearch.2.033402Investigating quantum approximate optimization algorithms under bang-bang protocolsDaniel LiangLi Li (李力)Stefan LeichenauerThe quantum approximate optimization algorithm (QAOA) is widely seen as a possible usage of noisy intermediate-scale quantum (NISQ) devices. We analyze the algorithm as a bang-bang protocol with fixed total time and a randomized greedy optimization scheme. We investigate the performance of bang-bang QAOA on MAX-2-SAT, finding the appearance of phase transitions with respect to the total time. As the total time increases, the optimal bang-bang protocol experiences a number of jumps and plateaus in performance, which match up with an increasing number of switches in the standard QAOA formulation. At large times, it becomes more difficult to find a globally optimal bang-bang protocol and performances suffer. We also investigate the effects of changing the initial conditions of the randomized optimization algorithm and see that better local optima can be found by using an adiabatic initialization.http://doi.org/10.1103/PhysRevResearch.2.033402 |
| spellingShingle | Daniel Liang Li Li (李力) Stefan Leichenauer Investigating quantum approximate optimization algorithms under bang-bang protocols Physical Review Research |
| title | Investigating quantum approximate optimization algorithms under bang-bang protocols |
| title_full | Investigating quantum approximate optimization algorithms under bang-bang protocols |
| title_fullStr | Investigating quantum approximate optimization algorithms under bang-bang protocols |
| title_full_unstemmed | Investigating quantum approximate optimization algorithms under bang-bang protocols |
| title_short | Investigating quantum approximate optimization algorithms under bang-bang protocols |
| title_sort | investigating quantum approximate optimization algorithms under bang bang protocols |
| url | http://doi.org/10.1103/PhysRevResearch.2.033402 |
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