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DY: Fachverband Dynamik und Statistische Physik

DY 41: Quantum Dynamics, Decoherence, and Quantum Information (joint session DY/TT)

DY 41.5: Talk

Friday, March 21, 2025, 10:30–10:45, H37

Magic transition in measurement-only circuits — •Poetri Sonya Tarabunga1,2 and Emanuele Tirrito3,41Technical University of Munich, Physics Department, 85748 Garching, Germany — 2Munich Center for Quantum Science and Technology (MCQST), 80799 München, Germany — 3The Abdus Salam International Centre for Theoretical Physics (ICTP), 34151 Trieste, Italy — 4Dipartimento di Fisica “E. Pancini", Università di Napoli “Federico II”, 80126 Napoli, Italy

Magic quantifies the distance of a quantum state to the set of stabilizer states, and it serves as a necessary resource for potential quantum advantage over classical computing. In this work, we study magic in a measurement-only quantum circuit with competing types of Clifford and non-Clifford measurements, where magic is injected through the non-Clifford measurements. This circuit can be mapped to a classical model that can be simulated efficiently, and the magic can be characterized using any magic measure that is additive for tensor product of single-qubit states. Leveraging this observation, we study the magic transition in this circuit in both one- and two-dimensional lattices using large-scale numerical simulations. Our results demonstrate the presence of a magic transition between two different phases with extensive magic scaling, separated by a critical point in which the mutual magic exhibits scaling behavior analogous to entanglement. We further show that these two distinct phases can be distinguished by the topological magic. In a different regime, with a vanishing rate of non-Clifford measurements, we find that the magic saturates in both phases.

Keywords: Quantum magic, nonstabilizerness; Measurement-induced transition

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