Entangled state distillation from single copy mixed states beyond LOCC
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866916909455245312 |
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| author | Biswas, Indranil Bhunia, Atanu Chattopadhyay, Indrani Sarkar, Debasis |
| author_facet | Biswas, Indranil Bhunia, Atanu Chattopadhyay, Indrani Sarkar, Debasis |
| contents | No pure entangled state can be distilled from a $2\otimes 2$ or $2\otimes 3$ mixed state by separable operations. In $3\otimes 3$, pure entanglement can be distilled by separable operation but not by LOCC. In this letter, we proved the conjecture [PRL. 103, 110502 (2009)] that it is possible to distill pure entanglement for $2\otimes 4$ system by LOCC and further improve these in higher dimensions to distill a pure entangled state of Schmidt rank $d$ from a $m\otimes n$ mixed state by separable operation when $m+n \geqslant 3d$. We found results for tripartite systems with target state $d$-level GHZ-type state. These results provide a class of systems where separable operation is strictly stronger than LOCC. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2212_10664 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Entangled state distillation from single copy mixed states beyond LOCC Biswas, Indranil Bhunia, Atanu Chattopadhyay, Indrani Sarkar, Debasis Quantum Physics No pure entangled state can be distilled from a $2\otimes 2$ or $2\otimes 3$ mixed state by separable operations. In $3\otimes 3$, pure entanglement can be distilled by separable operation but not by LOCC. In this letter, we proved the conjecture [PRL. 103, 110502 (2009)] that it is possible to distill pure entanglement for $2\otimes 4$ system by LOCC and further improve these in higher dimensions to distill a pure entangled state of Schmidt rank $d$ from a $m\otimes n$ mixed state by separable operation when $m+n \geqslant 3d$. We found results for tripartite systems with target state $d$-level GHZ-type state. These results provide a class of systems where separable operation is strictly stronger than LOCC. |
| title | Entangled state distillation from single copy mixed states beyond LOCC |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2212.10664 |