Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entangling and assisted entangling power of bipartite unitary operations   Nonlocal unitary operations can create quantum entanglement between
distributed particles, and the quantification of created entanglement is a hard
problem. It corresponds to the concepts of entangling and assisted entangling
power when the input states are, respectively, product and arbitrary pure
states. We analytically derive them for Schmidt-rank-two bipartite unitary and
some complex bipartite permutation unitaries. In particular, the entangling
power of permutation unitary of Schmidt rank three can take only one of two
values: $\log_2 9 - 16/9$ or $\log_2 3$ ebits. The entangling power, assisted
entangling power and disentangling power of $2\times d_B$ permutation unitaries
of Schmidt rank four are all $2$ ebits. These quantities are also derived for
generalized Clifford operators. We further show that any bipartite permutation
unitary of Schmidt rank greater than two has entangling power greater than
$1.223$ ebits. We construct the generalized controlled-NOT (CNOT) gates whose
assisted entangling power reaches the maximum. We quantitatively compare the
entangling power and assisted entangling power for general bipartite unitaries,
and study their connection to the disentangling power. We also propose a
probabilistic protocol for implementing bipartite unitaries.

20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th