Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Super controlled gates and controlled gates in two-qubit gate
  simulations   In two-qubit gate simulations an entangling gate is used several times
together with single qubit gates to simulate another two-qubit gate. We show
how a two-qubit gate's simulation power is related to the simulation power of
its mirror gate. And we show that an arbitrary two-qubit gate can be simulated
by three applications of a super controlled gate together with single qubit
gates. We also give the gates set that can be simulated by n applications of a
controlled gate in a constructive way. In addition we give some gates which can
be used four times to simulate an arbitrary two-qubit gate.

9
The categories of this paper are: nlin
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph