Entangled state distillation from single copy mixed states beyond LOCC

• URL: http://arxiv.org/abs/2212.10664v1
• Date: Tue, 20 Dec 2022 21:46:46 GMT
• Title: Entangled state distillation from single copy mixed states beyond LOCC
• Authors: Indranil Biswas, Atanu Bhunia, Indrani Chattopadhyay and Debasis Sarkar
• Abstract summary: No pure entangled state can be distilled from a $2otimes 2$ or $2otimes 3$ mixed state by separable operations. In $3otimes 3$, pure entanglement can be distilled by separable operation but not by LOCC.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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