Quantum Entropy and Its Connection to Superdense Coding and Quantum Cryptography

iorfus
Messages
66
Reaction score
0
Quantum entropy and ...??

Homework Statement


My problem is that I have to write about ten pages about SUPERDENSE CODING and QUANTUM CRYPTOGRAPHY, and my professor has taken for granted that these are strongly linked to quantum entropy. He never told us why! Indeed he talked about that as applications of the property quantum entropy. However, on the two books I am using (Nielsen&Chuang and Preskill's Lectures at CalTech), these two subjects are treated with no link to entropy.
Could someone please tell me where is the link? And when can I found material to get a reasonable understanding of that?
Thank you very much!

Homework Equations


The Attempt at a Solution


I have studied the properties of entropy and what there is on my books on superdense coding and quantum cryptography, but I can't find any link.
 
Physics news on Phys.org
coding and cryptography are both mathematical abstractions, which are clearly well-connected to each other.
Write about these, and how they are related to one another, which (I understand) is the assignment.

Entropy is physical. Entropy was not mentioned (I understand) in the assignment.
Write what you know and think, maintaining your integrity - do not write what you think someone else wants you to write.
 
  • Like
Likes 1 person
Try googling "Shannon entropy".
 
  • Like
Likes 1 person
##|\Psi|^2=\frac{1}{\sqrt{\pi b^2}}\exp(\frac{-(x-x_0)^2}{b^2}).## ##\braket{x}=\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dx\,x\exp(-\frac{(x-x_0)^2}{b^2}).## ##y=x-x_0 \quad x=y+x_0 \quad dy=dx.## The boundaries remain infinite, I believe. ##\frac{1}{\sqrt{\pi b^2}}\int_{-\infty}^{\infty}dy(y+x_0)\exp(\frac{-y^2}{b^2}).## ##\frac{2}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,y\exp(\frac{-y^2}{b^2})+\frac{2x_0}{\sqrt{\pi b^2}}\int_0^{\infty}dy\,\exp(-\frac{y^2}{b^2}).## I then resolved the two...
Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
Back
Top