Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Results on two-bit gate design for quantum computers   We present numerical results which show how two-bit logic gates can be used
in the design of a quantum computer. We show that the Toffoli gate, which is a
universal gate for all classical reversible computation, can be implemented
using a particular sequence of exactly five two-bit gates. An arbitrary
three-bit unitary gate, which can be used to build up any arbitrary quantum
computation, can be implemented exactly with six two-bit gates. The ease of
implementation of any particular quantum operation is dependent upon a very
non-classical feature of the operation, its exact quantum phase factor.

9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex