Doru STICLET : Stabilizer Rényi entropy in many-body quantum spin systems
Le résumé :
Understanding the origin of quantum advantage remains a central challenge in contemporary quantum science. A promising direction in this endeavor involves quantifying non-classical resources through the stabilizer Rényi entropy, commonly referred to as “magic” [Phys. Rev. Lett. 128, 050402 (2022)], which measures the deviation of a state from the set of stabilizer states.
We explore the generation and dynamics of “magic” in quantum many-body systems, focusing on one-dimensional spin chains where matrix product states techniques enable efficient simulations. Specifically, we examine the “magic” in one- and two-particle quantum walks where the evolution is governed by the XXZ Hamiltonian. Here we uncover light-cone dynamics of “magic” and its logarithmic growth.
We also study open quantum system dynamics in boundary-driven and dephasing XXZ spin models. The analysis reveals new behaviors of “magic”, including sharp signatures of different transport regimes, universal scaling, and transient enhancements. To isolate the role of correlations, the concept of mean-field “magic” is introduced, capturing the contribution of many-body correlations to the growth of “magic” during time evolution. These findings position “magic” as a sensitive and informative probe of non-equilibrium quantum dynamics.
[1] Cătălin Paşcu Moca, Doru Sticlet, Balázs Dóra, Angelo Valli, Dominik Szombathy, Gergely Zaránd, “Non-stabilizerness generation in a multi-particle quantum walk”, arXiv:2504.19750.
[2] Doru Sticlet, Balázs Dóra, Dominik Szombathy, Gergely Zaránd, Cătălin Paşcu Moca, “Non-stabilizerness in open XXZ spin chains: Universal scaling and dynamics”, arXiv:2504.11139.