How/why does the Gray code wall?
Let us take a closer look at the Gray code and understand
how it reduces an
"effective
two-level" unitary to a single
qubitgate, using a sees of controlled gates.
Consider the example we discussed:
11 =)
⑨ 0008b0o
100
00100000
0
i
I
=
8888 .
O
V =
000108 ·
⑧ ·
The basis states for three qubits
d
8 0
[1173=E1000), l00n), 1010), 1011),
0 1100), 1101), 1110), 1111)}
j Jaggerators3
00 000 201000) -
acting on these states
·
nothing happens to these
v/4) I
0 00 1 0
⑧ states
jg8 :
80
O
6
& 1111) - acting on these states
Note that our covent
will the blue
only on these states
act -
states. All we need to do is move the elements
of the unitary
such
in a
way that the operation
is
applied only on a single qubit.
An
importantpointhere is thatis written in the comprational
basis [ 1i)] above.
E
15) -
190) =10007 =1908192)
Here is
the away code - 191) I 10017
1923
-
10117
193)
-
111 17 It]
=
Let us take a closer look at the Gray code and understand
how it reduces an
"effective
two-level" unitary to a single
qubitgate, using a sees of controlled gates.
Consider the example we discussed:
11 =)
⑨ 0008b0o
100
00100000
0
i
I
=
8888 .
O
V =
000108 ·
⑧ ·
The basis states for three qubits
d
8 0
[1173=E1000), l00n), 1010), 1011),
0 1100), 1101), 1110), 1111)}
j Jaggerators3
00 000 201000) -
acting on these states
·
nothing happens to these
v/4) I
0 00 1 0
⑧ states
jg8 :
80
O
6
& 1111) - acting on these states
Note that our covent
will the blue
only on these states
act -
states. All we need to do is move the elements
of the unitary
such
in a
way that the operation
is
applied only on a single qubit.
An
importantpointhere is thatis written in the comprational
basis [ 1i)] above.
E
15) -
190) =10007 =1908192)
Here is
the away code - 191) I 10017
1923
-
10117
193)
-
111 17 It]
=
