[10/10] Huge thanks to my collaborators @supanut-thanasilp.bsky.social and @thipchotibut.bsky.social
for being my emotional and academic support throughout this journey. It was a truly amazing experience.

[9/10] Crucially, we observe the separation between saturated BP-appearing quench in MBL and thermalized. This separation keeps growing with the system size !!!

So now I hope you see where you should initialize our training. 😊

[7/10] We found both phases become maximally expressive in the deep-quench limit, but BPs appear at far fewer quench in the thermalized phase than in the MBL phase.

This is because much larger portion of the Hilbert space is explored during each quench in the thermalized phase.

[5/10] Yes, we should do the MBL initialization.

[4/10] 🔑 Our key message is that there exists an intermediate regime where quenches are shallow enough to initially avoid BPs in the MBL phase, yet deep enough that the corresponding thermalized phase is maximally expressive.

So, what should we do in this regime?

[3/10] Here, we study a complementary approach which uses native many-body dynamics of analog quantum simulators to build an ansatz.

Our analog system consisting of M quenches can be tuned in-and-out between thermalized and Many-Body Localized (MBL) phases.

🆕 Our work makes a fundamental connection between the phases of matter to expressivity and scalability of analog Variational Quantum Algorithms (VQAs), as well as proposes a scalable practical initialization strategy based on Many-Body Localized (MBL) phase.
(scirate.com/arxiv/2506.1...)

🧵[1/10]