Dresden 2026 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
QI: Fachverband Quanteninformation
QI 21: Quantum Information: Concepts and Methods III
QI 21.9: Vortrag
Freitag, 13. März 2026, 12:15–12:30, BEY/0245
Stabilizing Rényi entropy and entanglement distributions in unitary random circuits — Dominik Szombathy1,2, Angelo Valli1, Catalin Pascu Moca3, Janos Asboth1, Lorant Farkas2, Tibor Rakovszky1, and •Gergely Zarand1 — 1Budapest University of Technology and Economics, Budapest (Hungary) — 2Nokia Bell Labs, Budapest (Hungary) — 3University of Oradea, Oradea (Romania)
Entanglement and nonstabilizerness (or "magic") are instrumental in characterizing quantum complexity. While entanglement is related to the "quantumness" of a state, it is not exhaustive, as Clifford circuits generate highly entangled states but can be efficiently simulated classically. This lack of complexity is encoded in their peculiar spectral properties. Stabilizer Rényi entropy quantifies non-Clifford resources required to prepare a quantum state and is pivotal for achieving quantum advantage. These resources are related, yet their interplay is largely unexplored. We characterize entanglement and magic generation through their distributions, obtained by numerically sampling Clifford+T and Haar-random unitary circuits. For N qubits, the distributions are highly concentrated around typical values of entanglement (N/2 plus a quantum correction) and magic (N-2), which are not independent. However, we demonstrate that their fluctuations are asymptotically independent: both the covariance and mutual information of the joint entanglement-magic distribution vanish exponentially with system size.
Szombathy et al. PRR 7, 043080 (2025); PRR 7, 043072 (2025)
Keywords: Quantum Resources; Entanglement; Quantum Magic; Random Circuits