Quantum Complexity in the Krylov basis

Abstract: I will review some recent progress on defining a universal measure of quantum complexity based on the so-called Krylov basis. After introducing Krylov basis techniques, I will discuss the “Spread Complexity” measure for quantum states with some explicit examples its general properties. The talk will be based on: arxiv.org/abs/2202.06957 arxiv.org/abs/2109.03824

HEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

( video )

Purdue HET

Series comments: The recorded talks will be available on YouTube here: www.youtube.com/playlist?list=PLxU3vHZccQj64m9zsQR74D5WP1z1g4t1J