As I understand it, the Information Loss Problem essentially states that you can't get a mixed quantum state from a pure one without loosing information which presents a paradox when contemplating the evaporation of black holes.

Material falling into a black hole in a pure quantum sate will eventually be radiated out, via Hawking radiation, in a mixed quantum state. This implies that the law of conservation of information is broken.

So what happens when you send one of a pair of entangled particles into a black hole and then act upon the other of the pair in such a way that destroys the entanglement? First, you discover that you know more than just the mass, spin and charge of the guts of this black hole. Second, the evaporation will not be purely mixed.

The problem with this speculation is that information transmitted by destroying the entanglement does not occur equally in both directions, into and out of a black hole. That is to say, if the entangled partner that fell into the black hole is somehow acted upon, does the entanglement get destroyed with the particle on the outside of the black hole? While there is no communication problem when the entanglement is broken from the outside, there is a one when the entanglement is broken from the inside, being that for information to travel out of a black hole’s event horizon requires FTL speed.

So if quantum entanglement is truly non-local, does the speed limit of space-time apply? Is there really a loss of information in black holes or can the properties of quantum entanglement and the non-local exchange of quantum information save information from falling into oblivion?

Hi WN?,


Nice to see you back. Tough question.





How about taking a "broader" measurement, say, from several points, over an interval of time, of the "mixed state". This implies that the information can be pieced together again.


Just a thought.


T.Roc

Particulary entanglement of EPR state can be explained with hidden variables. EPR state is 0.707(|00>+|11>), etc. But currently GHZ state 0.707(|000>+|111>), etc and Hardy state 0.577(|000>+|010>+|111>), etc can't be expalined with hidden variables, but work going on in this direction. But I think, that maybe imposible to observe GHZ state with good fidelity and then don't need to waist time on it and thus then quantum mechanic entanglement is explained with hidden variables! I wodner how good things going on on explantation superposition with local reality?

Black hole I think acts as measurmnet or like unentangling operator.

BTW, I think that black holes don't exist, becouse particle, which faling into black hole mass must become very big and gravitation field and electric field also, thus this particle must atract black hole stronger in one line, than black hole atracting and thus it's must atract part of black hole mass and so on, until everything will explode or until will be some metastable state of gas or somthing, but which never becoming black hole.

Thanks TRoc, it's good to be back.

I think we are already forced to use a "broader measurement". AFAIK, Hawking concluded that a black hole would evaporate as a perfect black body. As such, the only meaningful measurement of this mixed state would be "broader" by definition (evaluating the density operator as opposed to the ket vector).

For the sake of argument, lets assume, that black holes exist and that they radiate as a perfect black body. The "no hair theorem" states that we can only know the mass, spin and charge of a black hole, since all other pre-formation information is lost behind the event horizon once a black hole forms. Let's further assume, for the moment anyway, that we are only concerned with stuff that falls into the black hole after formation. What happens then when we send one electron, in a pure state, into the black hole?