Probing the entanglement structure of quantum states via partial-transpose moments.

Speaker: Benoit Vermesch
Affiliation: CNRS Grenoble
Date: Tuesday, 5 April 2022 at 12:00
Location: Online seminar

I will discuss our works on partial-transpose moments, which are quantities that can be measured experimentally in quantum technologies using randomized measurements.
In particular, I will present the p3-PPT condition introduced in [1] that has been experimentally used to detect mixed-state entanglement in a trapped-ion quantum system.
I will then show [2] that these PT moments can also be used to reveal the entanglement structure of many-body quantum states. PT moments provide in particular order parameters for the three mixed-state entanglement phases of Haar random states, and show striking differences for various classically simulatable states.
[1] Phys. Rev. Lett. 125, 200501 (2020)
[2] Votto, Carrasco, Kokail, Kraus, Zoller, Vermersch, to appear on arxiv