Eventually entanglement breaking divisible quantum dynamics
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910700406833152 |
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| author | Szczygielski, Krzysztof Chruściński, Dariusz |
| author_facet | Szczygielski, Krzysztof Chruściński, Dariusz |
| contents | It is shown that a large class of quantum dynamical maps on complex matrix algebras governed by time-local Master Equations tend to become entanglement breaking in the course of time. Such situation seems to be generic for quantum evolution and in particular, completely positive dynamical semigroups with a unique faithful stationary state enjoy this property. Inspired by this observation, we propose a new concept of eventually entanglement breaking divisible (eEB-divisible) dynamics. A dynamical map is eEB-divisible if any propagator becomes entanglement breaking in finite time. It turns out that eEB-divisibility is quite general and holds for a large class of quantum evolutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16583 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Eventually entanglement breaking divisible quantum dynamics Szczygielski, Krzysztof Chruściński, Dariusz Mathematical Physics Quantum Physics It is shown that a large class of quantum dynamical maps on complex matrix algebras governed by time-local Master Equations tend to become entanglement breaking in the course of time. Such situation seems to be generic for quantum evolution and in particular, completely positive dynamical semigroups with a unique faithful stationary state enjoy this property. Inspired by this observation, we propose a new concept of eventually entanglement breaking divisible (eEB-divisible) dynamics. A dynamical map is eEB-divisible if any propagator becomes entanglement breaking in finite time. It turns out that eEB-divisibility is quite general and holds for a large class of quantum evolutions. |
| title | Eventually entanglement breaking divisible quantum dynamics |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2407.16583 |