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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.00859 |
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| _version_ | 1866912800868139008 |
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| author | Zhang, Ziran |
| author_facet | Zhang, Ziran |
| contents | Detecting multipartite entanglement in many qubit systems is measurement-intensive, motivating protocols that estimate only selected observables with provable efficiency. In this work we use the classical shadow protocol to study the sample complexity required to estimate a family of subsystem $n$-partite entanglement witness embedded in an larger $N$-qubit system. We derive ensemble dependent variance bounds that lead to qualitatively distinct scaling for the snapshots cost at fixed additive error $ε$ with numerical simulations confirm these trends, exhibiting a clear crossover from Pauli favorable performance for local witness to Clifford favorable performance as the witness becomes more global. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00859 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sample Complexity for Embedded Multipartite Entanglement Witness via Pauli and Clifford Classical Shadows Zhang, Ziran Quantum Physics Detecting multipartite entanglement in many qubit systems is measurement-intensive, motivating protocols that estimate only selected observables with provable efficiency. In this work we use the classical shadow protocol to study the sample complexity required to estimate a family of subsystem $n$-partite entanglement witness embedded in an larger $N$-qubit system. We derive ensemble dependent variance bounds that lead to qualitatively distinct scaling for the snapshots cost at fixed additive error $ε$ with numerical simulations confirm these trends, exhibiting a clear crossover from Pauli favorable performance for local witness to Clifford favorable performance as the witness becomes more global. |
| title | Sample Complexity for Embedded Multipartite Entanglement Witness via Pauli and Clifford Classical Shadows |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2601.00859 |