Regensburg 2025 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 56: Quantum Dynamics, Decoherence, and Quantum Information (joint session DY/TT)

TT 56.2: Vortrag

Freitag, 21. März 2025, 09:45–10:00, H37

Measurement Induced Entanglement Transitions in Random Qudit Clifford Circuits — •Aamod Vinayak Atre, Raúl Morral Yepes, and Frank Pollmann — Department of Physics, Technical University of Munich

Random quantum circuits with local projective measurements uncover the universal dynamical properties of generic chaotic quantum many-body systems, as their unitary evolution is independent of the microscopic features of Hamiltonians. Entanglement measures characterize these universal dynamics into volume-law and area-law regimes, which exhibit bipartite entropy scaling proportional to the system volume and system boundary respectively. This continuous entanglement scaling transition, driven by the rate of measurement, has been extensively studied in spin-1/2 (qubit) systems of various spatial geometries. In this talk, we discuss the characterization the entanglement transitions in 1D random quantum circuits of spins (qudits) with arbitrary local Hilbert-space dimension d. This work employs the generalized stabilizer formalism, taking advantage of the Clifford group which forms a unitary 2-design on the space of unitaries. We find the nature of the entanglement transition, from volume-law to area-law regimes, to be preserved for d>2. The critical measurement density increases, converging to 1/2 in the limit d → ∞. Lastly, we describe the stabilizer dynamics in the limit d → ∞, by a dynamical classical model.

Keywords: Quantum entanglement; Quantum measurements; Quantum circuits; Phase transitions; Quantum stochastic processes