Phase-Sensitive Quantum Measurement without Controlled Operations
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929361204019200 |
|---|---|
| author | Yang, Yilun Christianen, Arthur Bañuls, Mari Carmen Wild, Dominik S. Cirac, J. Ignacio |
| author_facet | Yang, Yilun Christianen, Arthur Bañuls, Mari Carmen Wild, Dominik S. Cirac, J. Ignacio |
| contents | Many quantum algorithms rely on the measurement of complex quantum amplitudes. Standard approaches to obtain the phase information, such as the Hadamard test, give rise to large overheads due to the need for global controlled-unitary operations. We introduce a quantum algorithm based on complex analysis that overcomes this problem for amplitudes that are a continuous function of time. Our method only requires the implementation of real-time evolution and a shallow circuit that approximates a short imaginary-time evolution. We show that the method outperforms the Hadamard test in terms of circuit depth and that it is suitable for current noisy quantum computers when combined with a simple error-mitigation strategy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_10796 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Phase-Sensitive Quantum Measurement without Controlled Operations Yang, Yilun Christianen, Arthur Bañuls, Mari Carmen Wild, Dominik S. Cirac, J. Ignacio Quantum Physics Many quantum algorithms rely on the measurement of complex quantum amplitudes. Standard approaches to obtain the phase information, such as the Hadamard test, give rise to large overheads due to the need for global controlled-unitary operations. We introduce a quantum algorithm based on complex analysis that overcomes this problem for amplitudes that are a continuous function of time. Our method only requires the implementation of real-time evolution and a shallow circuit that approximates a short imaginary-time evolution. We show that the method outperforms the Hadamard test in terms of circuit depth and that it is suitable for current noisy quantum computers when combined with a simple error-mitigation strategy. |
| title | Phase-Sensitive Quantum Measurement without Controlled Operations |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2308.10796 |