Entanglement and the Holographic principle

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SUMMARY

This discussion centers on the relationship between quantum entanglement and the holographic principle. It establishes that in a quantum entangled state, observing one object determines the state of its entangled counterpart, implying that entangled objects carry information about each other. The holographic principle posits that the information contained in a system dictates its minimum spatial volume. The conversation raises the question of whether entangled objects require more or less space than non-entangled counterparts, ultimately suggesting that describing an entangled pair may require less information.

PREREQUISITES
  • Understanding of quantum entanglement
  • Familiarity with the holographic principle
  • Basic knowledge of quantum mechanics
  • Concept of information theory in physics
NEXT STEPS
  • Research the implications of quantum entanglement on information theory
  • Explore the mathematical foundations of the holographic principle
  • Investigate the relationship between information content and spatial volume in quantum systems
  • Study examples of quantum entanglement in practical applications
USEFUL FOR

Physicists, quantum mechanics enthusiasts, and researchers interested in the intersection of quantum entanglement and information theory.

Craine
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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?
 
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Craine said:
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.
 
Does that mean that an entangled pair might require a smaller volume of space?
 

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