Energy-time versus time bin DOF

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Discussion Overview

The discussion revolves around the differences between the energy-time degree of freedom and the time bin degree of freedom in the context of entanglement, particularly in relation to hyperentanglement schemes involving photons. Participants explore the nature of these degrees of freedom, their encoding mechanisms, and relevant literature.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that the energy-time degree of freedom is continuous while the time bin degree of freedom is discrete.
  • Others seek clarification on the definitions of "energy-time degree of freedom" and "time bin DOF," indicating a lack of consensus on terminology.
  • A participant mentions that these degrees of freedom relate to how information can be encoded in photons used for qubits in hyperentanglement schemes.
  • Some participants express the need for references or literature to support the claims made about these degrees of freedom.
  • A later reply notes that while the term "time-bin degree of freedom" appears in a referenced preprint, the term "energy-time degree of freedom" is not found in the same article, suggesting ambiguity in its usage.
  • Another participant highlights that the referenced literature does not adequately explain the terminology, indicating that this area may be open for further research.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the definitions and implications of the energy-time and time bin degrees of freedom, with multiple competing views and ongoing questions about the terminology and its application.

Contextual Notes

The discussion reveals limitations in the available literature regarding the definitions and explanations of the terms in question, suggesting that further clarification and exploration may be necessary.

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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