Path Superposition Vs Entanglement Superposition

In summary, superposition and entanglement are both outcomes of the vector space structure of quantum mechanics. Superposition refers to a single particle being in multiple paths at once, while entanglement involves the creation of two entangled particles described by the same wavefunction. They are separate concepts, as entanglement involves many particles being in one state, while superposition involves one particle being in many states.
  • #1
San K
911
1
"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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  • #2
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
 
  • #3
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
 

FAQ: Path Superposition Vs Entanglement Superposition

What is the difference between path superposition and entanglement superposition?

Path superposition refers to the ability of a particle to exist in multiple paths or locations at the same time, while entanglement superposition is the ability of two or more particles to be connected in a way that their states are dependent on each other.

How do path superposition and entanglement superposition occur?

Path superposition occurs due to the wave-particle duality of quantum particles, where they behave as both waves and particles. Entanglement superposition occurs when two or more particles interact and become entangled, meaning their states are correlated and cannot be fully described independently.

What is the significance of path superposition and entanglement superposition in quantum physics?

Path superposition and entanglement superposition are fundamental principles in quantum physics, and they form the basis for many quantum phenomena such as interference and teleportation. They also have practical applications in quantum computing and communication.

Can path superposition and entanglement superposition be observed in everyday life?

No, path superposition and entanglement superposition are only observed on a microscopic scale and cannot be observed in everyday life. They are only observable in controlled laboratory settings using specialized equipment.

What is the difference between path superposition and classical superposition?

Classical superposition refers to the ability of a system to exist in multiple states at the same time, while path superposition specifically refers to the ability of a quantum particle to exist in multiple paths simultaneously. Classical superposition is a macroscopic concept, while path superposition is a quantum phenomenon.

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