Optimal bound on long-range distillable entanglement
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909729898364928 |
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| author | Kudler-Flam, Jonah Narovlansky, Vladimir Sopenko, Nikita |
| author_facet | Kudler-Flam, Jonah Narovlansky, Vladimir Sopenko, Nikita |
| contents | We prove an upper bound on long-range distillable entanglement in $D$ spatial dimensions. Namely, it must decay faster than $1/r$, where $r$ is the distance between entangled regions. For states that are asymptotically rotationally invariant, the bound is strengthened to $1/r^D$. We then find explicit examples of quantum states with decay arbitrarily close to the bound. In one dimension, we construct free fermion Hamiltonians with nearest neighbor couplings that have these states as ground states. Curiously, states in conformal field theory are far from saturation, with distillable entanglement decaying faster than any polynomial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02926 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal bound on long-range distillable entanglement Kudler-Flam, Jonah Narovlansky, Vladimir Sopenko, Nikita Quantum Physics Strongly Correlated Electrons High Energy Physics - Theory We prove an upper bound on long-range distillable entanglement in $D$ spatial dimensions. Namely, it must decay faster than $1/r$, where $r$ is the distance between entangled regions. For states that are asymptotically rotationally invariant, the bound is strengthened to $1/r^D$. We then find explicit examples of quantum states with decay arbitrarily close to the bound. In one dimension, we construct free fermion Hamiltonians with nearest neighbor couplings that have these states as ground states. Curiously, states in conformal field theory are far from saturation, with distillable entanglement decaying faster than any polynomial. |
| title | Optimal bound on long-range distillable entanglement |
| topic | Quantum Physics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.02926 |