TNR scheme wishlist

[VictorVanthilt]

This is the place to express your wishes for us to include your favorite TNR scheme.
To set an example i'll start with the following:

• SRG
• HOSRG
• TNR
• LoopTNR
• 3D HOTRG

[Adwait-Naravane]

I would like to add

• 3D ATRG
• HOTRG impurity method
• BTRG impurity method

[Yue-Zhengyuan]

How's the progress on HOTRG with impurity? The 2D version with one impurity tensor appears to be in the dev-Impurity branch. I now want to do the 3D version as well, so I can measure 1-site quantities at finite temperature for 2D quantum systems (e.g. magnetization in Ising / Heisenberg model).

[Adwait-Naravane]

I haven't worked on it for months but yes, I wish to have it in TNRKit for 3D networks.

[Chenqitrg]

Have anyone tried the Nuclear norm regularized loop optimization for tensor network?

[VictorVanthilt]

Have you looked at it more since you sent this message? Do you think it's worth adding to TNRKit?

[Chenqitrg]

Have you looked at it more since you sent this message? Do you think it's worth adding to TNRKit?

Hi I indeed have read it, it's very insightful. But I am thinking there might be a better way to realise it and may improve the current LoopTNR. Do you guys want to collaborate on this?

[VictorVanthilt]

Hi, I'm very interested to hear your ideas! Do you want to have a call about this somewhere in the next few weeks?

[Chenqitrg]

Sure, are you free at the next Monday?

[Yue-Zhengyuan]

SRG (and HOSRG) can now be implemented with auto differentation. I may try HOSRG first as an exercise when I get some time...

[Yue-Zhengyuan]

@VictorVanthilt Are there people that have started working on HOSRG? I was stuck with PEPS work for quite a while...

[VictorVanthilt]

Not to my knowledge.

[Adwait-Naravane]

I would also like to add

• PTMRG
• Thermal TNR
• Global TNR

[Yue-Zhengyuan]

The part of thermal TNR to construct exp(-dt H) as an PEPO with cluster expansion and the compression along the time direction may be better to be in PEPSKit instead.

[Chenqitrg]

I would like to implement:

• Boundary TRG, LoopTNR
• Defect TRG, LoopTNR