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SUMMARY:Pure state separable transformations which are not possible via LO
 CC & coarse-gaining of entanglement classes - Martin Hebenstreit
DTSTART:20181025T131500Z
DTEND:20181025T141500Z
UID:TALK113155@talks.cam.ac.uk
CONTACT:Johannes Bausch
DESCRIPTION:Considering multipartite quantum systems\, entanglement is the
  resource to overcome the restriction of operations to Local Operations as
 sisted by Classical Communication (LOCC). In order to study entanglement\,
  it is important to decide which LOCC transformations are possible. The ma
 ximally 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 ca
 n be obtained deterministically via LOCC from some state in this set. Henc
 e\, this set contains the most useful states for applications. Here\, we s
 tudy entanglement in three-qutrit systems and characterize the MES for gen
 eric three-qutrit states. To this end\, we consider reachability via separ
 able operations (SEP)\, a class of operations that is strictly larger than
  LOCC. Interestingly\, we identify a family of pure states that can be obt
 ained deterministically via SEP but not via LOCC [1]. This gives an affirm
 ative answer to the question of whether there is a difference between SEP 
 and LOCC for transformations among pure states. Finally\, we take a comple
 mentary approach and discuss a method to coarse-grain entanglement classes
  for 2xmxn systems [2]. \n\n[1] M. Hebenstreit\, C. Spee\, and B. Kraus\, 
 PRA 93\, 012339 (2016)\n[2] M. Hebenstreit\, M. Gachechiladze\, O. Gühne\
 , and B. Kraus\, PRA 97\, 032330 (2018)
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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