Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement Cost for Sequences of Arbitrary Quantum States   The entanglement cost of arbitrary sequences of bipartite states is shown to
be expressible as the minimization of a conditional spectral entropy rate over
sequences of separable extensions of the states in the sequence. The expression
is shown to reduce to the regularized entanglement of formation when the n-th
state in the sequence consists of n copies of a single bipartite state.

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th