Nearly Time-Optimal Pure State Tomography with Pauli Measurements
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866918473707290624 |
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| author | Grewal, Sabee Gupta, Meghal He, William Sen, Aniruddha Singhal, Mihir |
| author_facet | Grewal, Sabee Gupta, Meghal He, William Sen, Aniruddha Singhal, Mihir |
| contents | We give an algorithm for pure state tomography with near-optimal copy and time complexity using only single-qubit measurements. Specifically, given $\widetilde{O}(2^n/ε)$ copies of an unknown $n$-qubit pure state $|ψ\rangle$, the algorithm performs only nonadaptive Pauli measurements, runs in time $\widetilde{O}(2^n/ε)$, and outputs $|\widehatψ \rangle$ with fidelity at least $1-ε$ with $|ψ\rangle$ with high probability. This is the first algorithm for pure state tomography that achieves near-optimal running time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_04444 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nearly Time-Optimal Pure State Tomography with Pauli Measurements Grewal, Sabee Gupta, Meghal He, William Sen, Aniruddha Singhal, Mihir Quantum Physics We give an algorithm for pure state tomography with near-optimal copy and time complexity using only single-qubit measurements. Specifically, given $\widetilde{O}(2^n/ε)$ copies of an unknown $n$-qubit pure state $|ψ\rangle$, the algorithm performs only nonadaptive Pauli measurements, runs in time $\widetilde{O}(2^n/ε)$, and outputs $|\widehatψ \rangle$ with fidelity at least $1-ε$ with $|ψ\rangle$ with high probability. This is the first algorithm for pure state tomography that achieves near-optimal running time. |
| title | Nearly Time-Optimal Pure State Tomography with Pauli Measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2601.04444 |