Certifying entanglement dimensionality by random Pauli sampling
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917206263070720 |
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| author | Yi, Changhao |
| author_facet | Yi, Changhao |
| contents | We introduce a Pauli-measurement-based algorithm to certify the Schmidt number of $n$-qubit pure states. Our protocol achieves an average-case sample complexity of $\caO(\mathrm{poly}(n)χ^2)$, a substantial improvement over the $\caO(2^n χ)$ worst-case bound. By utilizing local pseudorandom unitaries, we ensure the worst case can be transformed into the average-case with high probability. This work establishes a scalable approach to high-dimensional entanglement certification and introduces a proof framework for random Pauli sampling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11040 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Certifying entanglement dimensionality by random Pauli sampling Yi, Changhao Quantum Physics We introduce a Pauli-measurement-based algorithm to certify the Schmidt number of $n$-qubit pure states. Our protocol achieves an average-case sample complexity of $\caO(\mathrm{poly}(n)χ^2)$, a substantial improvement over the $\caO(2^n χ)$ worst-case bound. By utilizing local pseudorandom unitaries, we ensure the worst case can be transformed into the average-case with high probability. This work establishes a scalable approach to high-dimensional entanglement certification and introduces a proof framework for random Pauli sampling. |
| title | Certifying entanglement dimensionality by random Pauli sampling |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2601.11040 |