Path Superposition Vs Entanglement Superposition

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SUMMARY

This discussion clarifies the distinctions between Path Superposition and Entanglement Superposition in quantum mechanics. Path superposition involves a single particle, such as a photon, traversing multiple paths, while entanglement superposition pertains to two entangled photons described by a shared wavefunction. The key difference lies in the interference of paths, which can occur in path superposition, whereas entangled particles do not exhibit such interference. Both phenomena arise from the vector space structure of quantum mechanics, yet they represent fundamentally different concepts.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with wavefunctions and their properties
  • Knowledge of photon behavior in double-slit experiments
  • Concept of entanglement in quantum systems
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  • Research the implications of wavefunction collapse in quantum mechanics
  • Explore the mathematical framework of vector spaces in quantum theory
  • Investigate the experimental setups demonstrating path superposition
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Quantum physicists, students of quantum mechanics, and researchers exploring the foundations of quantum theory will benefit from this discussion.

San K
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"Path (or single particle)" Superposition Vs Entanglement Superposition


"Path" superposition
1. Single photon/particle...say going through a double slit

Entanglement superposition
1. Creation of two entangled photons


Path superposition

- 1 particle...superposition of multiple paths
- one (particle) to many (paths)

Entanglement superposition

- two particles described by the same wavefunction
- many (particles) to one (wavefunction)


also "paths" can interfere, entangled particles don't interfere

Is entanglement really superposition or complimentary to superposition?
 
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San K said:
Is entanglement really superposition or complimentary to superposition?

Both entanglement and superposition are simply an outcome of the vector space structure of QM - but they are different things.

Suppose you have two systems that can be in state |a> and |b> then possible states are |a>|b> and |b>|a>. This is from the vector space structure. From the same structure you can have a superposition ie c1|a>|b> + c2|b>|a>. The systems are entangled.

Thanks
Bill
 
bhobba said:
Both entanglement and superposition are simply an outcome of the vector space structure of QM - but they are different things.

Well answered. Thanks Bill
 

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