Energy-time versus time bin DOF

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SUMMARY

The discussion centers on the distinction between the energy-time degree of freedom (DOF) and the time bin DOF in the context of hyperentanglement. The energy-time DOF is continuous, while the time bin DOF is discrete. Participants referenced the journal article "Complete hyperentangled Bell state analysis for polarization and time-bin hyperentanglement" by Li X and Ghose S, published in Optics Express, which discusses these concepts but lacks detailed definitions. The conversation indicates that the terminology remains an open area of research, warranting further exploration.

PREREQUISITES
  • Understanding of hyperentanglement in quantum mechanics
  • Familiarity with degrees of freedom in quantum systems
  • Knowledge of photon-based qubit encoding
  • Basic comprehension of quantum optics and entanglement
NEXT STEPS
  • Read the article "Complete hyperentangled Bell state analysis for polarization and time-bin hyperentanglement" by Li X and Ghose S
  • Explore the preprint on arXiv titled "Coherent Ultrafast Measurement of Time-Bin Encoded Photons"
  • Investigate the implications of energy-time DOF in quantum information theory
  • Study the applications of hyperentanglement in quantum computing and communication
USEFUL FOR

Quantum physicists, researchers in quantum information science, and professionals working on photon-based quantum technologies will benefit from this discussion.

Armchair
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With respect to entanglement, is the energy-time degree of freedom continuous whilst the time bin DOF is discrete or is there some other difference (if any) ?
 
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Armchair said:
the energy-time degree of freedom continuous whilst the time bin DOF is discrete

What do you mean by "the energy-time degree of freedom" and "the time bin DOF"?
 
PeterDonis said:
What do you mean by "the energy-time degree of freedom" and "the time bin DOF"?
The means by which information can be encoded when using photons to hold qubits as part of hyperentanglement schemes.
 
Armchair said:
The means by which information can be encoded when using photons to hold qubits as part of hyperentanglement schemes.

Sorry, this doesn't help. Do you have a reference? (Textbook or peer-reviewed paper.)
 
PeterDonis said:
Sorry, this doesn't help. Do you have a reference? (Textbook or peer-reviewed paper.)
Discussion and Summary Section of the following refers to both terms.

JOURNAL ARTICLE
Complete hyperentangled Bell state analysis for polarization and time-bin hyperentanglement
Li X, Ghose S

Optics Express, vol. 24, issue 16 (2016) p. 18388
 
Armchair said:
JOURNAL ARTICLE

It looks like this is the preprint on arxiv:

https://arxiv.org/abs/1601.02032

I see the term "time-bin degree of freedom" used there (though I'll have to read through the article when I get a chance to understand what they mean by it), but I don't see the term "energy-time degree of freedom" anywhere in the article. So I still don't know what you mean by that term.
 
In the first part of the particular section I mentioned-

''...Hyperentanglement has attracted much attention in recent years due to its promising applica- tions. Besides the traditional DOFs of photons, the energy-time and orbital angular momentum DOFs also have been considered in constructing hyperentanglement [63, 64]...''

thanks for your feedback.
 
Armchair said:
In the first part of the particular section I mentioned

Ok, this just references some other papers; the terminology isn't explained in this paper, as far as I can tell. My initial reaction is that this looks like an open area of research, so discussion of it here will probably be limited.
 
Armchair said:
Discussion and Summary Section of the following refers to both terms.

JOURNAL ARTICLE
Complete hyperentangled Bell state analysis for polarization and time-bin hyperentanglement
Li X, Ghose S

Optics Express, vol. 24, issue 16 (2016) p. 18388
This paper may help. Seems to be in a proper journal.

https://physics.aps.org/featured-article-pdf/10.1103/PhysRevLett.111.153602

Coherent Ultrafast Measurement of Time-Bin Encoded Photons
John M. Donohue,Megan Agnew, Jonathan Lavoie, and Kevin J. Resch
 

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