Time: February 13, 2024, 2:00 pm
Place: Room 403, IMI – BAS
Speaker: Jean-Pierre Gazeau (APC, Université Paris – Cité)
Title: Quantum circuit complexity for light polarisation or complexity with no complex numbers
Further information:
Abstract. I will present a form of quantum circuit complexity that extends to open systems. To illustrate the methodology, I focus on a basic model where the Hilbert space of states is represented by the Euclidean plane. Specifically, the investigation is about the dynamics of mixed quantum states as they undergo interactions with a sequence of gates. The approach involves the analysis of sequences of density matrices. Each density matrix evolves within the framework of a Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) process during the time interval between consecutive gates. Notably, when considering an upper limit for the cost function, the optimal number of gates follows a power-law relationship.