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2018 ; 474
(2214
): 20180023
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An algorithm to explore entanglement in small systems
#MMPMID29977130
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Proc Math Phys Eng Sci
2018[Jun]; 474
(2214
): 20180023
PMID29977130
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A quantum state's entanglement across a bipartite cut can be quantified with
entanglement entropy or, more generally, Schmidt norms. Using only Schmidt
decompositions, we present a simple iterative algorithm to maximize Schmidt
norms. Depending on the choice of norm, the optimizing states maximize or
minimize entanglement, possibly across several bipartite cuts at the same time
and possibly only among states in a specified subspace. Recognizing that
convergence but not success is certain, we use the algorithm to explore topics
ranging from fermionic reduced density matrices and varieties of pure quantum
states to absolutely maximally entangled states and minimal output entropy of
channels.