Virtual mitigation of coherent non-adiabatic transitions by echo verification
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914936867782656 |
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| author | Schiffer, Benjamin F. van Vreumingen, Dyon Tura, Jordi Polla, Stefano |
| author_facet | Schiffer, Benjamin F. van Vreumingen, Dyon Tura, Jordi Polla, Stefano |
| contents | Transitions out of the ground space limit the performance of quantum adiabatic algorithms, while hardware imperfections impose stringent limitations on the circuit depth. We propose an adiabatic echo verification protocol which mitigates both coherent and incoherent errors, arising from non-adiabatic transitions and hardware noise, respectively. Quasi-adiabatically evolving forward and backwards allows for an echo-verified measurement of any observable. In addition to mitigating hardware noise, our method uses positive-time dynamics only. Crucially, the estimator bias of the observable is reduced when compared to standard adiabatic preparation, achieving up to a quadratic improvement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_10358 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Virtual mitigation of coherent non-adiabatic transitions by echo verification Schiffer, Benjamin F. van Vreumingen, Dyon Tura, Jordi Polla, Stefano Quantum Physics Transitions out of the ground space limit the performance of quantum adiabatic algorithms, while hardware imperfections impose stringent limitations on the circuit depth. We propose an adiabatic echo verification protocol which mitigates both coherent and incoherent errors, arising from non-adiabatic transitions and hardware noise, respectively. Quasi-adiabatically evolving forward and backwards allows for an echo-verified measurement of any observable. In addition to mitigating hardware noise, our method uses positive-time dynamics only. Crucially, the estimator bias of the observable is reduced when compared to standard adiabatic preparation, achieving up to a quadratic improvement. |
| title | Virtual mitigation of coherent non-adiabatic transitions by echo verification |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2307.10358 |