How are Bulletproofs similar / different from Bulletproofs++?

Question

I hear references to Bulletproofs++ in Monero, however I have not seen any clear explanation of how they improve upon "standard" Bulletproofs. Can someone provide a simple explanation of the differences especially with regards to transaction size?

Answer 1

I hear references to Bulletproofs++ in Monero,

It's actually Bulletproofs+ (note the single +) and has recently been merged to the master branch, so should be in the next major release.

however I have not seen any clear explanation of how they improve upon "standard" Bulletproofs.

See https://www.getmonero.org/2020/12/24/Bulletproofs+-in-Monero.html

Most notably:

The new construction would make transactions smaller, faster for wallets to generate, and faster for network participants to verify.

And for the detail:

https://eprint.iacr.org/2020/735