On Thu, Nov 28, 2019, 10:37 PM John Rose <[email protected]> wrote:

> It works:
> https://science.sciencemag.org/content/356/6343/1140
>

Quantum encryption is based on the principle that you can't observe
something undetected. You can't eavesdrop without me knowing it.

If I want to send messages using single photons, then I can generate
entangled pairs, which just means they have to be generated in a way that I
know conserves energy, momentum, and angular momentum (spin). If I measure
these on one of the photons, I know what you have to measure on the other,
regardless of what quantum mechanics says you should measure without that
knowledge.

A photon has a spin of 1 (in units of reduced Planck's constant) along any
axis I choose to measure. Classically this is impossible. But that's
because you are thinking of a spinning ball. What really happens is that
particles don't exist, only fields. When you solve Schrodinger's equation
for a system that includes a propagating electromagnetic field and an
observer (a memory device), the solution is the observer observing a
photon. The solution is exact (like Einstein said, God does not play dice),
but random to the observer because it has limited knowledge.

The only problem is the computation is intractable, so we have to use
approximations like the Copenhagen interpretation that pretend particles
sometimes exist. This leads to all sorts of non intuitive conclusions, like
Schrodinger's cat and Bell's inequality, where the approximations don't
apply.

Anyway, let's say I generate two photons by letting an atom drop to a lower
energy state with the same spin. The pair must have opposite spins to
conserve angular momentum. If I measure both spins along the same axis,
then they are always opposite. But if I measure along different axes, then
they can't add to 0 except on average over lots of measurements. I will get
random readings as if my device was introducing errors. But that's not the
right interpretation, or why would I get no errors when a distant detector
was parallel?

This was the effect seen over 1200 km away. But it only works with a direct
line of sight to the satellite. You can't bounce the photons off mirrors or
amplify them because it changes their spin. But you can use this effect to
send bits as long as the eavesdropper doesn't know which way to orient the
detector.

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