Mid-circuit measurement as an algorithmic primitive
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916929545961472 |
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| author | Lemelin, Antoine Pere, Christophe Landon-Cardinal, Olivier Coti, Camille |
| author_facet | Lemelin, Antoine Pere, Christophe Landon-Cardinal, Olivier Coti, Camille |
| contents | We explore the usefulness of mid-circuit measurements to enhance quantum algorithmics. Specifically, we assess how quantum phase estimation (QPE) and mid-circuit measurements can improve the performance of variational quantum algorithms. Our focus is on the single-qubit version of QPE namely, the Hadamard test applied to the Quantum Approximate Optimization Algorithm (QAOA) ansatz. We demonstrate that a mid-circuit measurement acts as a low-energy filter when the desired outcome is obtained. When the other outcome is measured we heuristically rely on the mixer to repopulate the low energy states. Numerical simulations show that this method effectively amplifies the ground state. We validate our approach on real quantum hardware namely the IBM Quantum system one ibm_quebec. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00118 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mid-circuit measurement as an algorithmic primitive Lemelin, Antoine Pere, Christophe Landon-Cardinal, Olivier Coti, Camille Quantum Physics We explore the usefulness of mid-circuit measurements to enhance quantum algorithmics. Specifically, we assess how quantum phase estimation (QPE) and mid-circuit measurements can improve the performance of variational quantum algorithms. Our focus is on the single-qubit version of QPE namely, the Hadamard test applied to the Quantum Approximate Optimization Algorithm (QAOA) ansatz. We demonstrate that a mid-circuit measurement acts as a low-energy filter when the desired outcome is obtained. When the other outcome is measured we heuristically rely on the mixer to repopulate the low energy states. Numerical simulations show that this method effectively amplifies the ground state. We validate our approach on real quantum hardware namely the IBM Quantum system one ibm_quebec. |
| title | Mid-circuit measurement as an algorithmic primitive |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.00118 |