Fundamental limitations on entanglement extraction from purity
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911726192033792 |
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| author | Kondra, Tulja Varun Hita, Pedro Barrios Neumann, Justus Kampermann, Hermann Bruß, Dagmar |
| author_facet | Kondra, Tulja Varun Hita, Pedro Barrios Neumann, Justus Kampermann, Hermann Bruß, Dagmar |
| contents | States of sufficiently low purity are separable and cannot be entangled by unital (purity-non-generating) operations. Since high-purity states are experimentally demanding, it is natural to ask how much purity a state must possess to enable entanglement generation. Absolutely separable states remain separable under all deterministic unital channels, and so cannot deterministically generate entanglement in this setting. We show, however, that some absolutely separable states can generate entanglement via probabilistic protocols that do not produce purity. This motivates the study of states that fail to generate entanglement with any non-zero probability, which we call completely absolutely separable; we give a full characterization of this class. Along the way, we derive a novel sufficient condition for separability that depends only on the largest and smallest eigenvalues, along with the smallest local dimension and is independent of all previously known spectral separability criteria. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_29197 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fundamental limitations on entanglement extraction from purity Kondra, Tulja Varun Hita, Pedro Barrios Neumann, Justus Kampermann, Hermann Bruß, Dagmar Quantum Physics States of sufficiently low purity are separable and cannot be entangled by unital (purity-non-generating) operations. Since high-purity states are experimentally demanding, it is natural to ask how much purity a state must possess to enable entanglement generation. Absolutely separable states remain separable under all deterministic unital channels, and so cannot deterministically generate entanglement in this setting. We show, however, that some absolutely separable states can generate entanglement via probabilistic protocols that do not produce purity. This motivates the study of states that fail to generate entanglement with any non-zero probability, which we call completely absolutely separable; we give a full characterization of this class. Along the way, we derive a novel sufficient condition for separability that depends only on the largest and smallest eigenvalues, along with the smallest local dimension and is independent of all previously known spectral separability criteria. |
| title | Fundamental limitations on entanglement extraction from purity |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.29197 |