Information Technology Reference
In-Depth Information
The possibility of nano-switching by using evanescent photons in optical near-field was
also proposed by T. Kawazoe and his co-workers [Whipple, 2002].
By utilizing this technology, it is considered that the computation utilizing quantum
tunneling photons has the possibility to achieve much faster computational speed and the
influence of energy cost due to the uncertainty principle which prevents speeding up the
quantum computation can be overcome shown as follows.
U
NCERTAINTY
P
RINCIPLE FOR
S
UPERLUMINAL
E
LEMENTARY
P
ARTICLES
The uncertainty principle for superluminal particles can be obtained shown as follows;
From relativistic equations of energy and momentum of the moving particle, given by
2
m
c
E
=
0
(6)
2
2
1
−
v
/
c
and
m
v
(7)
p
=
0
2
2
1
−
v
/
c
we can obtain the relation
p
=
/
E
/
c
2
.
From which, we have
v
Δ
p
−
p
Δ
v
Δ
E
=
(8)
2
2
v
c
Δ
v
v
/
2
≈
0
Supposing that
, Eq.(8) can be simplified as
v
Δ
p
≈
Δ
E
(9)
2
c
This relation can be also applied for the superluminal particle, which energy and the
momentum can be shown in Eqs. (4) and (5) respectively [Musha, 2006].
According to M.Park and Y.Park [1996], the uncertainty relation for the superluminal
particle can be given by
h
Δ
p
⋅
Δ
t
≈
(10)
v
−
v
′
