Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-particle entanglement under asymptotic positive partial transpose
  preserving operations   We demonstrate that even under positive partial transpose preserving
operations in an asymptotic setting GHZ and W states are not reversibly
interconvertible. We investigate the structure of minimal reversible
entanglement generating set (MREGS) for tri-partite states under positive
partial transpose (ppt) preserving operations. We demonstrate that the set
consisting of W and EPR states alone cannot be an MREGS. In this context we
prove the surprising result that the relative entropy of entanglement can be
strictly sub-additive for certain pure tri-partite states which is crucial to
keep open the possibility that the set of GHZ-state and EPR states together
constitute an MREGS under ppt-preserving operations.

32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat