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gwinc
pygwinc
Commits
579140c3
Commit
579140c3
authored
6 years ago
by
Christopher Wipf
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More quantum optimization (precomputed trig functions)
parent
c7f60418
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gwinc/noise/quantum.py
+28
-21
28 additions, 21 deletions
gwinc/noise/quantum.py
with
28 additions
and
21 deletions
gwinc/noise/quantum.py
+
28
−
21
View file @
579140c3
...
...
@@ -322,34 +322,41 @@ def shotradSignalRecycled(f, ifo):
# - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
# Coefficients [BnC, Equations 5.8 to 5.12]
# - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
exp_1jbeta
=
exp
(
1j
*
beta
)
cos_beta
=
exp_1jbeta
.
real
invexp_1jbeta
=
1
/
exp_1jbeta
exp_2jbeta
=
exp_1jbeta
**
2
cos_2beta
=
exp_2jbeta
.
real
invexp_2jbeta
=
1
/
exp_2jbeta
exp_4jbeta
=
exp_2jbeta
**
2
C11_L
=
(
(
1
+
rho
**
2
)
*
(
cos
(
2
*
phi
)
+
Kappa
/
2
*
sin
(
2
*
phi
)
)
-
2
*
rho
*
cos
(
2
*
beta
)
-
1
/
4
*
epsilon
*
(
-
2
*
(
1
+
exp
(
2j
*
beta
)
)
**
2
*
rho
+
4
*
(
1
+
rho
**
2
)
*
cos
(
beta
)
**
2
*
cos
(
2
*
phi
)
+
(
3
+
exp
(
1j
*
2
*
beta
)
)
*
2
*
rho
*
cos
_2
beta
-
1
/
4
*
epsilon
*
(
-
2
*
(
1
+
exp
_
2jbeta
)
**
2
*
rho
+
4
*
(
1
+
rho
**
2
)
*
cos
_
beta
**
2
*
cos
(
2
*
phi
)
+
(
3
+
exp
_2j
beta
)
*
Kappa
*
(
1
+
rho
**
2
)
*
sin
(
2
*
phi
)
)
+
lambda_SR
*
(
exp
(
2j
*
beta
)
*
rho
-
1
/
2
*
(
1
+
rho
**
2
)
*
(
cos
(
2
*
phi
)
+
Kappa
/
2
*
sin
(
2
*
phi
)
)
)
)
lambda_SR
*
(
exp
_
2jbeta
*
rho
-
1
/
2
*
(
1
+
rho
**
2
)
*
(
cos
(
2
*
phi
)
+
Kappa
/
2
*
sin
(
2
*
phi
)
)
)
)
C22_L
=
C11_L
C12_L
=
tau
**
2
*
(
-
(
sin
(
2
*
phi
)
+
Kappa
*
sin
(
phi
)
**
2
)
+
1
/
2
*
epsilon
*
sin
(
phi
)
*
(
(
3
+
exp
(
2j
*
beta
)
)
*
Kappa
*
sin
(
phi
)
+
4
*
cos
(
beta
)
**
2
*
cos
(
phi
))
+
1
/
2
*
epsilon
*
sin
(
phi
)
*
(
(
3
+
exp
_
2jbeta
)
*
Kappa
*
sin
(
phi
)
+
4
*
cos
_
beta
**
2
*
cos
(
phi
))
+
1
/
2
*
lambda_SR
*
(
sin
(
2
*
phi
)
+
Kappa
*
sin
(
phi
)
**
2
)
)
C21_L
=
tau
**
2
*
(
(
sin
(
2
*
phi
)
-
Kappa
*
cos
(
phi
)
**
2
)
+
1
/
2
*
epsilon
*
cos
(
phi
)
*
(
(
3
+
exp
(
2j
*
beta
)
)
*
Kappa
*
sin
(
phi
)
-
4
*
cos
(
beta
)
**
2
*
sin
(
phi
)
)
+
1
/
2
*
epsilon
*
cos
(
phi
)
*
(
(
3
+
exp
_
2jbeta
)
*
Kappa
*
sin
(
phi
)
-
4
*
cos
_
beta
**
2
*
sin
(
phi
)
)
+
1
/
2
*
lambda_SR
*
(
-
sin
(
2
*
phi
)
+
Kappa
*
cos
(
phi
)
**
2
)
)
# - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
D1_L
=
(
-
(
1
+
rho
*
exp
(
2j
*
beta
)
)
*
sin
(
phi
)
+
1
/
4
*
epsilon
*
(
3
+
rho
+
2
*
rho
*
exp
(
4
*
1j
*
beta
)
+
exp
(
2j
*
beta
)
*
(
1
+
5
*
rho
)
)
*
sin
(
phi
)
+
1
/
2
*
lambda_SR
*
exp
(
2j
*
beta
)
*
rho
*
sin
(
phi
)
)
D1_L
=
(
-
(
1
+
rho
*
exp
_
2jbeta
)
*
sin
(
phi
)
+
1
/
4
*
epsilon
*
(
3
+
rho
+
2
*
rho
*
exp
_4j
beta
+
exp
_
2jbeta
*
(
1
+
5
*
rho
)
)
*
sin
(
phi
)
+
1
/
2
*
lambda_SR
*
exp
_
2jbeta
*
rho
*
sin
(
phi
)
)
D2_L
=
(
-
(
-
1
+
rho
*
exp
(
2j
*
beta
)
)
*
cos
(
phi
)
+
1
/
4
*
epsilon
*
(
-
3
+
rho
+
2
*
rho
*
exp
(
4
*
1j
*
beta
)
+
exp
(
2j
*
beta
)
*
(
-
1
+
5
*
rho
)
)
*
cos
(
phi
)
+
1
/
2
*
lambda_SR
*
exp
(
2j
*
beta
)
*
rho
*
cos
(
phi
)
)
D2_L
=
(
-
(
-
1
+
rho
*
exp
_
2jbeta
)
*
cos
(
phi
)
+
1
/
4
*
epsilon
*
(
-
3
+
rho
+
2
*
rho
*
exp
_4j
beta
+
exp
_
2jbeta
*
(
-
1
+
5
*
rho
)
)
*
cos
(
phi
)
+
1
/
2
*
lambda_SR
*
exp
_
2jbeta
*
rho
*
cos
(
phi
)
)
# - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
P11
=
0.5
*
sqrt
(
lambda_SR
)
*
tau
*
\
(
-
2
*
rho
*
exp
(
2j
*
beta
)
+
2
*
cos
(
2
*
phi
)
+
Kappa
*
sin
(
2
*
phi
)
)
(
-
2
*
rho
*
exp
_
2jbeta
+
2
*
cos
(
2
*
phi
)
+
Kappa
*
sin
(
2
*
phi
)
)
P22
=
P11
P12
=
-
sqrt
(
lambda_SR
)
*
tau
*
sin
(
phi
)
*
(
2
*
cos
(
phi
)
+
Kappa
*
sin
(
phi
)
)
P21
=
sqrt
(
lambda_SR
)
*
tau
*
cos
(
phi
)
*
(
2
*
sin
(
phi
)
-
Kappa
*
cos
(
phi
)
)
...
...
@@ -360,22 +367,22 @@ def shotradSignalRecycled(f, ifo):
# as well as the input-output relation Mc and the signal matrix Md
Q11
=
1
/
\
(
exp
(
-
2j
*
beta
)
+
rho
**
2
*
exp
(
2j
*
beta
)
-
rho
*
(
2
*
cos
(
2
*
phi
)
+
Kappa
*
sin
(
2
*
phi
))
+
1
/
2
*
epsilon
*
rho
*
(
exp
(
-
2j
*
beta
)
*
cos
(
2
*
phi
)
+
exp
(
2j
*
beta
)
*
(
-
2
*
rho
-
2
*
rho
*
cos
(
2
*
beta
)
+
cos
(
2
*
phi
)
+
Kappa
*
sin
(
2
*
phi
)
)
+
(
inv
exp
_
2jbeta
+
rho
**
2
*
exp
_
2jbeta
-
rho
*
(
2
*
cos
(
2
*
phi
)
+
Kappa
*
sin
(
2
*
phi
))
+
1
/
2
*
epsilon
*
rho
*
(
inv
exp
_
2jbeta
*
cos
(
2
*
phi
)
+
exp
_
2jbeta
*
(
-
2
*
rho
-
2
*
rho
*
cos
_2
beta
+
cos
(
2
*
phi
)
+
Kappa
*
sin
(
2
*
phi
)
)
+
2
*
cos
(
2
*
phi
)
+
3
*
Kappa
*
sin
(
2
*
phi
))
-
1
/
2
*
lambda_SR
*
rho
*
(
2
*
rho
*
exp
(
2j
*
beta
)
-
2
*
cos
(
2
*
phi
)
-
Kappa
*
sin
(
2
*
phi
)
)
)
(
2
*
rho
*
exp
_
2jbeta
-
2
*
cos
(
2
*
phi
)
-
Kappa
*
sin
(
2
*
phi
)
)
)
Q22
=
Q11
Q12
=
0
Q21
=
0
# - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
N11
=
sqrt
(
epsilon
/
2
)
*
tau
*
(
Kappa
*
(
1
+
rho
*
exp
(
2j
*
beta
)
)
*
sin
(
phi
)
+
2
*
cos
(
beta
)
*
(
exp
(
-
1j
*
beta
)
*
cos
(
phi
)
-
rho
*
exp
(
1j
*
beta
)
*
(
cos
(
phi
)
+
Kappa
*
sin
(
phi
))))
N22
=
-
sqrt
(
2
*
epsilon
)
*
tau
*
(
-
exp
(
-
1j
*
beta
)
+
rho
*
exp
(
1j
*
beta
)
)
*
cos
(
beta
)
*
cos
(
phi
)
N12
=
-
sqrt
(
2
*
epsilon
)
*
tau
*
(
exp
(
-
1j
*
beta
)
+
rho
*
exp
(
1j
*
beta
)
)
*
cos
(
beta
)
*
sin
(
phi
);
N11
=
sqrt
(
epsilon
/
2
)
*
tau
*
(
Kappa
*
(
1
+
rho
*
exp
_
2jbeta
)
*
sin
(
phi
)
+
2
*
cos
_
beta
*
(
inv
exp
_
1jbeta
*
cos
(
phi
)
-
rho
*
exp
_
1jbeta
*
(
cos
(
phi
)
+
Kappa
*
sin
(
phi
))))
N22
=
-
sqrt
(
2
*
epsilon
)
*
tau
*
(
-
inv
exp
_
1jbeta
+
rho
*
exp
_
1jbeta
)
*
cos
_
beta
*
cos
(
phi
)
N12
=
-
sqrt
(
2
*
epsilon
)
*
tau
*
(
inv
exp
_
1jbeta
+
rho
*
exp
_
1jbeta
)
*
cos
_
beta
*
sin
(
phi
);
N21
=
sqrt
(
2
*
epsilon
)
*
tau
*
(
-
Kappa
*
(
1
+
rho
)
*
cos
(
phi
)
+
2
*
cos
(
beta
)
*
(
exp
(
-
1j
*
beta
)
+
rho
*
exp
(
1j
*
beta
)
)
*
cos
(
beta
)
*
sin
(
phi
))
2
*
cos
_
beta
*
(
inv
exp
_
1jbeta
+
rho
*
exp
_
1jbeta
)
*
cos
_
beta
*
sin
(
phi
))
# - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
# overall coefficient
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