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.

>
> 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.

(This is assuming that your are digitally emulable, of course. Otherwise
teleportation will destroy you, so the chances are 0 in each case.)

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