The discussion centers on the concept of energy entanglement, specifically whether two particles can be entangled based on their energy properties. Participants explore the mathematical representation of entangled states, such as ##\left| \psi \right> = \frac{1}{\sqrt{2}}\left(\left| 1 \right>\left| 1 \right>+\left| 2 \right>\left| 2 \right>\right)##, and the implications of conservation laws in entanglement generation, particularly in photon pairs created via Parametric Down Conversion. The conversation also touches on the complexities of defining entanglement, the role of quantum states, and the necessity of non-product states for entanglement.
PREREQUISITESQuantum physicists, researchers in quantum information science, and students studying advanced quantum mechanics concepts will benefit from this discussion.
Term "partial entanglement" is already taken. It refers to state vector ##|\psi\rangle=a|00\rangle+b|11\rangle## where |a| and |b| are different.Zafa Pi said:I would like to propose the following: If a state |ζ⟩ representing multiple particles can't be factored it is fully entangled. If |ζ⟩ can be factored (to lowest terms) but one of its factors also represents multiple particles but it can't be factored then we say |ζ⟩ is partially entangled. We say |ζ⟩ is entangled if it is either fully or partially entangled.
Too bad for me. But good looking out. How about sortta entangled?zonde said:Term "partial entanglement" is already taken. It refers to state vector ##|\psi\rangle=a|00\rangle+b|11\rangle## where |a| and |b| are different.
Given what we've been discussing I am pretty sure you're right. But at the time I read it, it wasn't clear to me at all.Demystifier said:I am pretty sure that N&C would say that it consists of two disctinct physical systems.