Adaptive quantum approximate optimization algorithm for solving combinatorial problems on a quantum computer
The quantum approximate optimization algorithm (QAOA) is a hybrid variational quantum-classical algorithm that solves combinatorial optimization problems. While there is evidence suggesting that the fixed form of the standard QAOA Ansatz is not optimal, there is no systematic approach for finding be...
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| Vydané v: | Physical review research Ročník 4; číslo 3; s. 033029 |
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| Hlavní autori: | , , , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
United States
American Physical Society
11.07.2022
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| ISSN: | 2643-1564, 2643-1564 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | The quantum approximate optimization algorithm (QAOA) is a hybrid variational quantum-classical algorithm that solves combinatorial optimization problems. While there is evidence suggesting that the fixed form of the standard QAOA Ansatz is not optimal, there is no systematic approach for finding better Ansätze. We address this problem by developing an iterative version of QAOA that is problem tailored, and which can also be adapted to specific hardware constraints. We simulate the algorithm on a class of Max-Cut graph problems and show that it converges much faster than the standard QAOA, while simultaneously reducing the required number of CNOT gates and optimization parameters. We provide evidence that this speedup is connected to the concept of shortcuts to adiabaticity. |
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| Bibliografia: | USDOE SC0019318; SC0019199 |
| ISSN: | 2643-1564 2643-1564 |
| DOI: | 10.1103/PhysRevResearch.4.033029 |