- Working Paper
We investigate stochastic local operations and classical communication (SLOCC) in an asymptotic setting using the concepts of degeneration and border rank of tensors from algebraic complexity theory. Results well-known in that field imply that GHZ states can be transformed into W states at rate 1 for any number of parties. As a generalization, we find that the asymptotic conversion rate from GHZ states to Dicke states is bounded as the number of subsystems increase and the number of excitations is fixed. By generalizing a construction of Coppersmith and Winograd we also compute the conversion rate from W to GHZ states Show more
Organisational unit03879 - Christandl, Matthias (SNF-Professur)
NotesSubmitted on 11 October 2013.
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