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    I Impact of atmospheric turbulence on secret key rate in QKD

    Thank you for your explanation. ;)
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    I Impact of atmospheric turbulence on secret key rate in QKD

    I have the calculation on secret key rate over the turbulence channel using Python code. The calculation is as below: import numpy as np import math import re import random import cmath #import itertools from math import pi,e,log import time #import xlwt import matplotlib.pyplot as plt from...
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    How to combine integration equation in Python?

    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 =...
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    Integration of an analytical expression

    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 Thank you.
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    Received power for free space optics

    You mean that θl must greater than d2R in order to produce a valid output?
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    Received power for free space optics

    What is the applicable range?
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    Received power for free space optics

    Hello everyone, 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...
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    Python How to plot integration equation using Python?

    That is the good idea. I will start a new thread and asking about the equations.
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    Python How to plot integration equation using Python?

    I will try to ask about the equation from the author of the paper. Hopefully he will response my questions.
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    Python How to plot integration equation using Python?

    Actually, I didn't have any idea.
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    Python How to plot integration equation using Python?

    Yes. I realized it. It is stated that . However, I don't think that they used another equation to calculate pe_mim.
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    Python How to plot integration equation using Python?

    How to write the expression for ##P^{Auth,MIM}_e(t,N)##? Do you have any idea, what is the equation to plot ##P^{Auth,MIM}_e(t,N)##?
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    Python How to plot integration equation using Python?

    I have tried it. However, it shows the same graph that I have been plotted before. I already updated the code and the graph in the question.
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    Python How to plot integration equation using Python?

    I have tried it. However, it shows the same graph that I have been plotted before.
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    Python How to plot integration equation using Python?

    1. Yes. t**2 is the square the t value 2. Yes. z2 = element of y + element of z 3. z line is (1-t**2)N, which is replacing tN in Pe^(aut,normal)
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    Python How to plot integration equation using Python?

    Yes Yes. It is very interesting to play around with python. However, I felt some headache to understand the equation. Thank you for your attention and help for the previous post. Really appreciate it.
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    Python Convert an equation to Python

    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.
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    Python How to plot integration equation using Python?

    Thank you so much for your help. Apologize for not replying the threads. This post is different from the previous one.
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    Python Convert an equation to Python

    Thank you so much. Finally I did plot the graph.
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    Python How to plot integration equation using Python?

    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: cond equation...
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    Man in the middle attack

    DrClaude, it can be assumed that Eve is trying to intercept the communication at the first stage using (1-t2)N, isn't it?
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    Man in the middle attack

    Thank you Spinnor.
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    Man in the middle attack

    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...
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    Python Convert an equation to Python

    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: First Image Second...
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    Polarization of light using Mueller matrix

    Finally I got the true result. Something mistakes happened in my Python codes. Anyway, thank you for your explanation.
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    Python Unitary transformation using Python

    Consider the simple example: Given the set of matrix,supposedly the transpose of conjugate IV will obtain the UB: IV_transpose*UB(IV)=UB However, I get the different output. Please see the code; angle=60 UB = np.array([ [1,0,0,0]...
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    Polarization of light using Mueller matrix

    θA is the rotational of half wave plate at Alice side while θB is rotational at Bob and they are unitary transformation.
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    Python Unitary transformation using Python

    Alright, I have make it readable as Python code. Thank you.
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    Python Unitary transformation using Python

    What is the problem of my code? I didn't have any idea why the output is not equal to X.
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    Python Unitary transformation using Python

    I would like to ask about unitary transformation. UA(IV) UB*UA(IV) UAT(UB*UA(IV))=UB(IV) UB(IV)*(X) IVT(UB(IV)*(X))=UB(X) UBT*UB(X)=X 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...
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