Hugo Loio - Quantum State Designs via Magic Teleportation

Wed, 04 Feb 2026 00:00:00 +0000

Quantum State Designs via Magic Teleportation

This seminar, given by Hugo Loio, will happend on 04 February 2026, at 13:0. It will take place in Room 25-26 105.

Find a map of the campus here.

Abstract

We investigate how non-stabilizer resources enable the emergence of quantum state designs within the projected ensemble. Starting from initial states with finite magic and applying resource-free Clifford circuits to scramble them, we analyze the ensemble generated by performing projective Pauli measurements on a subsystem of the final state. Using both analytical arguments and large-scale numerics, we show that the projected ensemble converges towards a state $k$-design with an error that decays exponentially with the $k$-th Stabilizer Rényi Entropy of the pre-measurement state, via a Magic-Induced Design Ansatz (MIDA) that we introduce. We identify a universal scaling form, valid across different classes of magic initial states, and corroborate it through numerical simulations and analytical calculations of the frame potential. For finite-depth Clifford unitaries, we show that the timescales at which state designs emerge are controlled by the transport of magic. We identify a ``magic teleportation’’ mechanism whereby non-Clifford resources injected locally spread through Clifford scrambling and measurements across distances beyond the lightcone. Our results demonstrate how a small and controlled amount of magic suffices to generate highly random states, providing a systematic route toward generating quantum state designs in early fault-tolerant devices.

Hugo Loio | LIP6 - QI Team

Hugo Loio - Quantum State Designs via Magic Teleportation

Quantum State Designs via Magic Teleportation

Abstract