I Does Anti-Information Exist in Quantum Theory?

[Jason White]

Is there any theory that says anti-information exists?

If there is anti-matter, would that matter carry information to annihilate the regular matter's information saying its a certain type of matter and turn it into energy? Could anti-matter just be regular matter with anti-information.

 

[jedishrfu]

I've not heard of anti-information other than what folks may do to hide the turth as in disinformation campaigns which I don't think nature needs to do.

For black holes, there is the information paradox as in do we lose the information of a particle such as its charge value when it falls into a black hole or not.

http://profmattstrassler.com/articl...ack-hole-information-paradox-an-introduction/

 

[Feeble Wonk]

Is there any theory that says anti-information exists?

If there is anti-matter, would that matter carry information to annihilate the regular matter's information saying its a certain type of matter and turn it into energy? Could anti-matter just be regular matter with anti-information.

As you said, the matter/antimatter annihilation event releases energy in the form of photons. That energy contains information, so the information is not lost.

Here is a past PF discussion pertaining to that.
https://www.physicsforums.com/threads/matter-antimatter-annihilation.224821/

But I'm sympathetic to your curiosity. There have been famous debates within the physics community about whether information can be lost through black holes (Hawking vs Susskind). Ultimately, it seems that information is a (the?) fundamental physical property that is always conserved.

I'm not even sure how you would define the concept of "anti-information". It would seem to me that it would simply refer to a lack of information regarding any objective entity/parameter. When you think about it, all physical observables and/or parameters are really information... position, momentum, mass, charge, color, spin, etc... all information about the physical state. But regardless of form, once information exists, it exists. You can't go back. You might look into the concepts of Von Neumann entropy and Shannon entropy.

There's a well known math/physics theorem originally derived by Emmy Noether (not surprisingly called Noether's Theorem) that relates conserved properties to fundamental symmetries. I've always been curious about what symmetry might be reflected by the conservation of information.

 

[naima]

Do you know AK Pati's No hiding theorem?:

"Can we hide quantum information in same way like
classical information?
No. If the original information is missing then it must
move to somewhere else and it cannot be hidden in
the correlations between a pair of systems.
This we call the ‘no-hiding theorem’ (Braunstein and
Pati, PRL, 2007)."