Pure state separable transformations which are not possible via LOCC & coarse-gaining of entanglement classes

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• Martin Hebenstreit
• Thursday 25 October 2018, 14:15-15:15
• MR4, Centre for Mathematical Sciences, Wilberforce Road, Cambridge.

If you have a question about this talk, please contact Johannes Bausch.

Considering multipartite quantum systems, entanglement is the resource to overcome the restriction of operations to Local Operations assisted by Classical Communication (LOCC). In order to study entanglement, it is important to decide which LOCC transformations are possible. The maximally entangled set (MES) of states is the minimal set of n-partite pure states with the property that any truly n-partite entangled pure state can be obtained deterministically via LOCC from some state in this set. Hence, this set contains the most useful states for applications. Here, we study entanglement in three-qutrit systems and characterize the MES for generic three-qutrit states. To this end, we consider reachability via separable operations (SEP), a class of operations that is strictly larger than LOCC . Interestingly, we identify a family of pure states that can be obtained deterministically via SEP but not via LOCC [1]. This gives an affirmative answer to the question of whether there is a difference between SEP and LOCC for transformations among pure states. Finally, we take a complementary approach and discuss a method to coarse-grain entanglement classes for 2xmxn systems [2].

[1] M. Hebenstreit, C. Spee, and B. Kraus, PRA 93 , 012339 (2016) [2] M. Hebenstreit, M. Gachechiladze, O. Gühne, and B. Kraus, PRA 97 , 032330 (2018)

This talk is part of the CQIF Seminar series.

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