Entanglement-magic separation in hybrid quantum circuits

• URL: http://arxiv.org/abs/2312.02039v2
• Date: Mon, 11 Dec 2023 17:15:44 GMT
• Title: Entanglement-magic separation in hybrid quantum circuits
• Authors: Gerald E. Fux, Emanuele Tirrito, Marcello Dalmonte, Rosario Fazio
• Abstract summary: We study magic, quantified by stabilizer entropy, in a hybrid quantum circuit with projective measurements. We discover a phase transition between a (sub)-extensive and area law scaling of magic controlled by the rate of measurements.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Magic describes the distance of a quantum state to its closest stabilizer state. It is -- like entanglement -- a necessary resource for a potential quantum advantage over classical computing. We study magic, quantified by stabilizer entropy, in a hybrid quantum circuit with projective measurements and a controlled injection of non-Clifford resources. We discover a phase transition between a (sub)-extensive and area law scaling of magic controlled by the rate of measurements. The same circuit also exhibits a phase transition in entanglement that appears, however, at a different critical measurement rate. This mechanism shows how, from the viewpoint of a potential quantum advantage, hybrid circuits can host multiple distinct transitions where not only entanglement, but also other non-linear properties of the density matrix come into play.

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