On 08 Aug 2014, at 06:23, LizR wrote:
On 8 August 2014 09:11, Bruno Marchal <[email protected]> wrote:
You are on Earth, and you need, for some reason, to go urgently on
Mars. Bad luck, you can't really afford the 100% secure quantum
classical teleportation channel Earth-Mars, but you have enough
money to take a channel where it is known that the probability of
eavesdropping is 1/4.
Now there will be two questions, according to the fact that the
eavesdropping is destructive, or not.
The eavesdropping is destructive when Eve, the "pirate", intercepts
the message, and prevents it to attain Mars.
The eavesdropping is non-destructive when Eve intercepts the
message, copies it, and let it attain Mars.
In both question the probability of eavesdropping is 1/4, and it is
supposed that Eve reconstitutes you in Hell, or some bad place.
You are on Earth, just before pushing the button. How do you
evaluate your chance to find yourself in hell?
a) with a destructive eavesdropping?
This is surely 1 in 4. 1 out of 4 times your message is intercepted
and reconstituted in Hell. So 1 in 4 times you go to Hell.
Who disagree?
b) with a non-destructive eavesdropping?
1 in 4 times your message is intercepted, and on that occasion there
is a 50-50 chance to find yourself in Hell. So there is a 1 in 4
chance of interception, and half that of ending in Hell, so 1 in 8.
Who disagree?
(This is assuming that your are digitally emulable, of course.
Of course.
Otherwise teleportation will destroy you, so the chances are 0 in
each case.)
Strictly speaking this does not follow, as if comp is false, you might
still survive with the help of some magic. But "normally", without
using the magic that the non-comp people would need to be non-Turing
emulable, you are right. I mean I think I see your point.
Bruno
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