I have the calculation on secret key rate over the turbulence channel using Python code. The calculation is as below:
import numpy as np
from math import pi,e,log
import matplotlib.pyplot as plt
I'm calculating key rate (R^Rate-wise) by integrating R(eta) over all possible eta from 0 to 1, with a probability distribution (PDTC) which is a log-normal distribution.
The equation of log-normal distribution:
The equation of R(eta):
Therefore, R^Rate-wise =...
I have an equation regarding integration equation. Given:
where is found analytically to be:
My question is what is the analytical equation for equation 3? I hope that anyone may help me regarding this matter. This is the paper I referred: https://arxiv.org/pdf/1503.05793.pdf
I have calculated the received power for free space optic (FSO) using the equation:
Lsystem (system loss) is set to 8dB. PTotal can be calculated as:
where Ntx (number of receiver) = 1 and PTx (transmitted power) =7.78 dBm. LGeo can be calculated as:
where d2R (receiver...
The problem is I tried to plot the graph in https://www.physicsforums.com/threads/how-to-plot-integration-equation-using-python.963190/#post-6110879. However, at N=0, the error probability is not plotted at 5 as illustrated in the original graph.
I have a few of integration equations and need to convert it into Python. The problem is when I tried to plot a graph according to the equation, some of the plot is not same with the original one.
The first equation is the error probability of authentication in normal operation:
I have some curiosity about MIM attack in a paper that I have been found before. The diagram shows the MIM attack between Alice and Bob:
I found that the sentences state:
"We consider that the transmittance of the quantum channel is t. If Alice sends pulses with a mean photon number of N...
I have several equations and need to convert it into Python. The problem is that I tried to plot a graph according to the equation. However, the graph that I get is not the same as the original one.
In the paper, the equation of error probability for MIM attack is given by:
Consider the simple example:
Given the set of matrix,supposedly the transpose of conjugate IV will obtain the UB:
However, I get the different output. Please see the code;
UB = np.array([
I would like to ask about unitary transformation.
From the information above, UAT,IVT and UBT are the transpose of the complex conjugate. The aim of this code is to get the value of X in the step 4. This is...