Resource-efficient entanglement detection in high-dimensional states via two-qubit witnesses
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915812731781120 |
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| author | Kadlec, Josef Barasiński, Artur Lemr, Karel |
| author_facet | Kadlec, Josef Barasiński, Artur Lemr, Karel |
| contents | This paper presents an efficient method for detecting entanglement in high-dimensional two-qudit states by mapping the Hilbert space onto the space of two qubits. This transformation enables the use of well-established two-qubit entanglement witnesses. The proposed approach is not restricted to any specific class of states, successfully identifies a vast majority of pure entangled states, and requires a number of measurements that does not increase with the dimensionality of the qudits. The method demonstrates solid sensitivity when applied to two notable classes of states, incomplete-permutation-symmetric states and random pure states mixed with white noise, and is shown to be feasible with current experimental techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13061 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resource-efficient entanglement detection in high-dimensional states via two-qubit witnesses Kadlec, Josef Barasiński, Artur Lemr, Karel Quantum Physics This paper presents an efficient method for detecting entanglement in high-dimensional two-qudit states by mapping the Hilbert space onto the space of two qubits. This transformation enables the use of well-established two-qubit entanglement witnesses. The proposed approach is not restricted to any specific class of states, successfully identifies a vast majority of pure entangled states, and requires a number of measurements that does not increase with the dimensionality of the qudits. The method demonstrates solid sensitivity when applied to two notable classes of states, incomplete-permutation-symmetric states and random pure states mixed with white noise, and is shown to be feasible with current experimental techniques. |
| title | Resource-efficient entanglement detection in high-dimensional states via two-qubit witnesses |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.13061 |