Undergrad Biphoton: Existence of layered or multiple entanglements

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The discussion centers on the potential for layered or multiple photon entanglements beyond the biphoton state. Participants express interest in whether tri- or quad-photon entanglements are feasible, with one contributor noting that there is no theoretical limit to the number of entangled particles. Research indicates that N=3 and N=4 entangled states are actively studied, and experiments have demonstrated various configurations of entanglement. The concept of hyperentanglement, involving entanglement across multiple bases, is also mentioned as a possibility. Overall, the conversation highlights ongoing advancements and research in the field of quantum entanglement.
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exisitence of layered or multiple entanglements
I read this recent article describing photon quantum entanglement to produce higher resolution microscope. https://phys.org/news/2023-05-quantum-entanglement-photons-microscope-resolution.html
I am curious if quantum entanglement could exist in layers with a third or more entanglement feature. They specify that they call the two entangled photons a “biphoton”… is there a possibility of a tri- or quad- or more photon entanglement?
 
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vanhees71 said:
The scientific article is open access:

https://doi.org/10.1038/s41467-023-38191-4
Vanhees71,
I appreciate the article. It is very interesting and describes a little more detail about the use for microscopy, but I was hoping to find something more about the possibility of compound or layered link involving multiple entanglements rather than a single connection.

The forum protocol automatically adjusted my post title to add “Using photon quantum entanglement to produce higher resolution microscope images” not the focus of my question, and I did not see where to change it.

The summary “existence of layered or multiple entanglements” is more to my original question…
“They specify that they call the two entangled photons a “biphoton”… is there a possibility of a tri- or quad- or more photon entanglement?"
 
Revolucien said:
The forum protocol automatically adjusted my post title to add “Using photon quantum entanglement to produce higher resolution microscope images” not the focus of my question, and I did not see where to change it.

The summary “existence of layered or multiple entanglements” is more to my original question…
I have updated your thread title now to your new suggested version. In the future if you want your title updated, just click "Report" on your post and ask the Mentors to update the title. :smile:
 
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Revolucien said:
“They specify that they call the two entangled photons a “biphoton”… is there a possibility of a tri- or quad- or more photon entanglement?"
Sure. There is no particular limit to the number of particles N that can be entangled. N=3 and N=4 get a lot of attention in terms of new papers coming out. Many papers even generalize theory to N>2. Actual experiments have been done with many permutations. Check out these links:

Two independent photon pairs versus four-photon entangled states in parametric down conversion
https://arxiv.org/abs/1508.01480
https://arxiv.org/pdf/1510.02665.pdf

Fair warning: these are advanced papers. And yes, it is also possible to entangle systems in multiple bases or degrees of freedom (what you might call "levels"). Also referred to as hyperentanglement.
 
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DrChinese,
Thanks for the links... I got some reading to do.
 
I am slowly going through the book 'What Is a Quantum Field Theory?' by Michel Talagrand. I came across the following quote: One does not" prove” the basic principles of Quantum Mechanics. The ultimate test for a model is the agreement of its predictions with experiments. Although it may seem trite, it does fit in with my modelling view of QM. The more I think about it, the more I believe it could be saying something quite profound. For example, precisely what is the justification of...

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