Sampling Groups of Pauli Operators to Enhance Direct Fidelity Estimation
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913931267670016 |
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| author | Barberà-Rodríguez, Júlia Navarro, Mariana Zambrano, Leonardo |
| author_facet | Barberà-Rodríguez, Júlia Navarro, Mariana Zambrano, Leonardo |
| contents | Direct fidelity estimation is a protocol that estimates the fidelity between an experimental quantum state and a target pure state. By measuring the expectation values of Pauli operators selected through importance sampling, the method is exponentially faster than full quantum state tomography. We propose an enhanced direct fidelity estimation protocol that uses fewer copies of the experimental state by grouping Pauli operators before the sampling process. We derive analytical bounds on the measurement cost and estimator variance, showing improvements over the standard method. Numerical simulations validate our approach, demonstrating that for 8-qubit Haar-random states, our method achieves a one-third reduction in the required number of copies and reduces variance by an order of magnitude using only local measurements. These results underscore the potential of our protocol to enhance the efficiency of fidelity estimation in current quantum devices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_19228 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sampling Groups of Pauli Operators to Enhance Direct Fidelity Estimation Barberà-Rodríguez, Júlia Navarro, Mariana Zambrano, Leonardo Quantum Physics Direct fidelity estimation is a protocol that estimates the fidelity between an experimental quantum state and a target pure state. By measuring the expectation values of Pauli operators selected through importance sampling, the method is exponentially faster than full quantum state tomography. We propose an enhanced direct fidelity estimation protocol that uses fewer copies of the experimental state by grouping Pauli operators before the sampling process. We derive analytical bounds on the measurement cost and estimator variance, showing improvements over the standard method. Numerical simulations validate our approach, demonstrating that for 8-qubit Haar-random states, our method achieves a one-third reduction in the required number of copies and reduces variance by an order of magnitude using only local measurements. These results underscore the potential of our protocol to enhance the efficiency of fidelity estimation in current quantum devices. |
| title | Sampling Groups of Pauli Operators to Enhance Direct Fidelity Estimation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.19228 |