Year: 2026
Type: article
Abstract: Non-stabilizerness is a key resource for fault-tolerant quantum computation, yet its interplay with entanglement in dynamical settings remains underexplored. We address this by analyzing a well-controlled, analytically tractable setup, where we show that entanglement acts as a conduit that teleports magic across the system, thereby enhancing magic injection. Using exact calculations, we prove that when a Haar-random unitary U A is applied to a subsystem A of an entangled stabilizer state, the total injected magic increases with the amount of entanglement between A and its complement. More generally, for any unitary U A , we show that this enhancement is maximized when A is maximally entangled with its complement, in which case the total injected magic is exactly given by the unitary stabilizer Rényi entropy we introduce. This quantity provides both a directly computable measure of unitary magic and a lower bound on the minimum number of T gates required to synthesize U A . In particular, we show that the linear unitary stabilizer entropy gives a better estimate for the nonstabilizer content produced by U A than the previously proposed notion of nonstabilizing power. We further extend our analysis to tripartite stabilizer entanglement, non-stabilizer entanglement, and magic injection via shallow-depth brickwork circuits, finding that the qualitative picture remains unchanged.
Source: npj Quantum Information
Authors: Zong-Yue Hou, ChunJun Cao, Zhi-Cheng Yang
Institutions: Peking University, Virginia Tech
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $4,290
Award: G8626035294
OpenAlex ID: W7160864684