Entanglement and the Holographic principle

[Craine]

Consider if you will...
A pair of objects in an quantum entangled state.

In such a state, observing the state of one object will determine the state of the other and thus the entangled system collapses. Therefor it seems that one object carries information about its entangled twin. A similar object in a non-entangled state does not carry such information.

According to the holographic principle the amount of information contained in a system determines the minimum volume of space that system requires.

Does this mean that an object in an entangled state requires a larger volume of space then a similar object in a non-entangled state?

 

[DrChinese]

Consider if you will...
A pair of objects in an quantum entangled state.

In such a state, observing the state of one object will determine the state of the other and thus the entangled system collapses. Therefor it seems that one object carries information about its entangled twin. A similar object in a non-entangled state does not carry such information.

According to the holographic principle the amount of information contained in a system determines the minimum volume of space that system requires.

Does this mean that an object in an entangled state requires a larger volume of space then a similar object in a non-entangled state?

How do you count the number of objects? If an entangled pair is 2 objects, does it take more or less information to describe it as compared to 2 nonentangled objects. I would think it certainly takes no more to describe the entangled pair, and could argue that it actually takes less.

 

[Craine]

Does that mean that an entangled pair might require a smaller volume of space?